%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW207+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.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 05:29:31 PM UTC 2026
% Result : Theorem 8.92s 5.86s
% Output : CNFRefutation 71.41s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(fact_Im__cis,axiom,
! [X4] : hAPP(c_Complex_OIm,c_Complex_Ocis(X4)) = c_Transcendental_Osin(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im__cis) ).
fof(fact_cis__rcis__eq,axiom,
! [X4] : c_Complex_Ocis(X4) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cis__rcis__eq) ).
fof(fact_Re__cis,axiom,
! [X4] : hAPP(c_Complex_ORe,c_Complex_Ocis(X4)) = c_Transcendental_Ocos(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re__cis) ).
fof(fact_div__if,axiom,
! [X30,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_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),X29)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__if) ).
fof(fact_div__geq,axiom,
! [X30,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_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__geq) ).
fof(fact_not__less__eq__eq,axiom,
! [X27,X31] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X27)),X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__eq__eq) ).
fof(fact_Suc__n__not__le__n,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X29)),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__n__not__le__n) ).
fof(fact_le__SucE,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),c_Nat_OSuc(X29)))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> X30 = c_Nat_OSuc(X29) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__SucE) ).
fof(fact_not__less__eq,axiom,
! [X27,X31] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),c_Nat_OSuc(X31))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__eq) ).
fof(fact_not__less__less__Suc__eq,axiom,
! [X31,X27] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),X31))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),c_Nat_OSuc(X31)))
<=> X27 = X31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__less__Suc__eq) ).
fof(fact_less__antisym,axiom,
! [X30,X29] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X30))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X30)))
=> X30 = X29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__antisym) ).
fof(fact_less__SucE,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X29)))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> X30 = X29 ) ),
file('/export/starexec/sandbox2/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,
~ ! [X28] :
( c_SEQ_Osubseq(X28)
=> ~ 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____,X28)))) ),
file('/export/starexec/sandbox2/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,
? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : 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____,X8)))))),X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_lemma__NBseq__def2,axiom,
! [X25,X13] :
( class_RealVector_Oreal__normed__vector(X13)
=> ( ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,hAPP(X25,X8))),X37)) )
<=> ? [X77] :
! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,hAPP(X25,X8))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X77)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lemma__NBseq__def2) ).
fof(fact_Suc__eq__plus1,axiom,
! [X29] : c_Nat_OSuc(X29) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(fact_lemma__NBseq__def,axiom,
! [X25,X13] :
( class_RealVector_Oreal__normed__vector(X13)
=> ( ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,hAPP(X25,X8))),X37)) )
<=> ? [X77] :
! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,hAPP(X25,X8))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X77)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lemma__NBseq__def) ).
fof(fact_Suc__mult__less__cancel1,axiom,
! [X27,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)),X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__mult__less__cancel1) ).
fof(fact_Suc__mult__le__cancel1,axiom,
! [X27,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)),X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__mult__le__cancel1) ).
fof(fact_not__sum__squares__lt__zero,axiom,
! [X12,X7,X5] :
( class_Rings_Olinordered__ring(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X12))),c_Groups_Ozero__class_Ozero(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__sum__squares__lt__zero) ).
fof(fact_Bseq__iff1a,axiom,
! [X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_OBseq(X5,X25)
<=> ? [X77] :
! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(X25,X8))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X77)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__iff1a) ).
fof(fact_Bseq__iff,axiom,
! [X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_OBseq(X5,X25)
<=> ? [X77] :
! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(X25,X8))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X77)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__iff) ).
fof(fact_reals__Archimedean4,axiom,
! [X7,X12] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> ? [X8] :
( 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,X8)),X12)),X7))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X8))),X12))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_reals__Archimedean4) ).
fof(fact_power__le__imp__le__base,axiom,
! [X11,X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Nat_OSuc(X29))),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),c_Nat_OSuc(X29))))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__le__imp__le__base) ).
fof(fact_monoseq__Suc,axiom,
! [X25,X5] :
( class_Orderings_Oorder(X5)
=> ( c_SEQ_Omonoseq(X5,X25)
<=> ( ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(X25,X8)),hAPP(X25,c_Nat_OSuc(X8))))
| ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(X25,c_Nat_OSuc(X8))),hAPP(X25,X8))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_monoseq__Suc) ).
fof(fact_split__div_H,axiom,
! [X27,X31,X35] :
( hBOOL(hAPP(X35,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X31,X27)))
<=> ( ( X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
& hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
| ? [X98] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X27),X98)),X31))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X27),c_Nat_OSuc(X98))))
& hBOOL(hAPP(X35,X98)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_split__div_H) ).
fof(fact_realpow__two__diff,axiom,
! [X12,X7,X5] :
( class_Rings_Ocomm__ring__1(X5)
=> c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X12),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X7,X12)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__two__diff) ).
fof(fact_one__less__mult,axiom,
! [X30,X29] :
( 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))),X30))
=> 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),X30),X29))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__less__mult) ).
fof(fact_one__le__mult__iff,axiom,
! [X27,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),X27)))
<=> ( 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))),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__le__mult__iff) ).
fof(fact_cos__diff,axiom,
! [X12,X7] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X7)),c_Transcendental_Ocos(X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X7)),c_Transcendental_Osin(X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__diff) ).
fof(fact_cos__diff2,axiom,
! [X12,X7] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X12)),c_Transcendental_Ocos(X7))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X12)),c_Transcendental_Osin(X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__diff2) ).
fof(fact_sin__add,axiom,
! [X12,X7] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X7)),c_Transcendental_Ocos(X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X7)),c_Transcendental_Osin(X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__add) ).
fof(fact_split__div__lemma,axiom,
! [X31,X97,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X27))
=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X27),X97)),X31))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X27),c_Nat_OSuc(X97)))) )
<=> X97 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X31,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_split__div__lemma) ).
fof(fact_sin__cos__squared__add3,axiom,
! [X7] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X7)),c_Transcendental_Ocos(X7))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X7)),c_Transcendental_Osin(X7))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__cos__squared__add3) ).
fof(fact_n__less__n__mult__m,axiom,
! [X30,X29] :
( 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))),X30))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X30))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__less__n__mult__m) ).
fof(fact_n__less__m__mult__n,axiom,
! [X30,X29] :
( 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))),X30))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__less__m__mult__n) ).
fof(fact_nat__lt__two__imp__zero__or__one,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
=> ( X7 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X7 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__lt__two__imp__zero__or__one) ).
fof(fact_power__Suc__less__one,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Nat_OSuc(X29))),c_Groups_Oone__class_Oone(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__Suc__less__one) ).
fof(fact_realpow__Suc__le__self,axiom,
! [X29,X23,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X23))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X23),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X23),c_Nat_OSuc(X29))),X23)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__Suc__le__self) ).
fof(fact_sin__diff2,axiom,
! [X12,X7] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X12)),c_Transcendental_Osin(X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X12)),c_Transcendental_Ocos(X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__diff2) ).
fof(fact_sin__diff,axiom,
! [X12,X7] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X7)),c_Transcendental_Ocos(X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X7)),c_Transcendental_Osin(X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__diff) ).
fof(fact_cos__add,axiom,
! [X12,X7] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X7)),c_Transcendental_Ocos(X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X7)),c_Transcendental_Osin(X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__add) ).
fof(fact_nat__one__le__power,axiom,
! [X29,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),X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__one__le__power) ).
fof(fact_cis__real__of__nat__Suc__mult,axiom,
! [X4,X29] : c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X29))),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X4)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cis__real__of__nat__Suc__mult) ).
fof(fact_diff__Suc__less,axiom,
! [X19,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_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Nat_OSuc(X19))),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__less) ).
fof(fact_abs__add__one__not__less__self,axiom,
! [X7] : ~ 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,X7)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__add__one__not__less__self) ).
fof(fact_subseq__Suc__iff,axiom,
! [X2] :
( c_SEQ_Osubseq(X2)
<=> ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X8)),hAPP(X2,c_Nat_OSuc(X8)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subseq__Suc__iff) ).
fof(fact_add__eq__if,axiom,
! [X29,X30] :
( ( X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29) = X29 )
& ( X30 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__eq__if) ).
fof(fact_lemma__realpow__diff,axiom,
! [X12,X29,X50,X5] :
( class_Groups_Omonoid__mult(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X50),X29))
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X12),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X29),X50)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X12),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X50))),X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lemma__realpow__diff) ).
fof(fact_Suc__less__eq,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X31)),c_Nat_OSuc(X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__less__eq) ).
fof(fact_Suc__less__SucD,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X30)),c_Nat_OSuc(X29)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__less__SucD) ).
fof(fact_Suc__le__mono,axiom,
! [X31,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X27)),c_Nat_OSuc(X31)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X27),X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__le__mono) ).
fof(fact_less__add__Suc1,axiom,
! [X30,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),X30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__Suc1) ).
fof(fact_less__add__Suc2,axiom,
! [X30,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),X30),X19)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__Suc2) ).
fof(fact_le__div__geq,axiom,
! [X30,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),X30))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__div__geq) ).
fof(fact_divmod__int__rel__div__eq,axiom,
! [X90,X12,X91,X92] :
( X92 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X91),X12)),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) = X12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divmod__int__rel__div__eq) ).
fof(fact_diff__Suc__diff__eq2,axiom,
! [X30,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)),X30) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X18),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__diff__eq2) ).
fof(fact_diff__Suc__diff__eq1,axiom,
! [X30,X18,X17] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X18))
=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,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),X30),X17),c_Nat_OSuc(X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__diff__eq1) ).
fof(fact_power_Opower_Opower__Suc,axiom,
! [X27,X6,X69,X70,X5] : hAPP(hAPP(c_Power_Opower_Opower(X5,X70,X69),X6),c_Nat_OSuc(X27)) = hAPP(hAPP(X69,X6),hAPP(hAPP(c_Power_Opower_Opower(X5,X70,X69),X6),X27)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power_Opower_Opower__Suc) ).
fof(fact_power__gt1,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Nat_OSuc(X29)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__gt1) ).
fof(fact_abs__cos__le__one,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X7))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__cos__le__one) ).
fof(fact_abs__sin__le__one,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Osin(X7))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__sin__le__one) ).
fof(fact_Suc__pred,axiom,
! [X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__pred) ).
fof(fact_power__inject__base,axiom,
! [X11,X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Nat_OSuc(X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),c_Nat_OSuc(X29))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> X4 = X11 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__inject__base) ).
fof(fact_Suc__lessD,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X30)),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__lessD) ).
fof(fact_less__eq__Suc__le,axiom,
! [X31,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),X31))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X27)),X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__Suc__le) ).
fof(fact_Suc__le__eq,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X31)),X27))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__le__eq) ).
fof(fact_Suc__le__lessD,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__le__lessD) ).
fof(fact_Suc__leD,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__leD) ).
fof(fact_not__square__less__zero,axiom,
! [X4,X5] :
( class_Rings_Olinordered__ring(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X4)),c_Groups_Ozero__class_Ozero(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__square__less__zero) ).
fof(fact_int__power__div__base,axiom,
! [X17,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(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),X30),X17) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X17),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__power__div__base) ).
fof(fact_Suc__mono,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X30)),c_Nat_OSuc(X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__mono) ).
fof(fact_add__leE,axiom,
! [X29,X17,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X17)),X29))
=> ~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__leE) ).
fof(fact_Suc__mult__cancel1,axiom,
! [X27,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)),X27)
<=> X31 = X27 ),
file('/export/starexec/sandbox2/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))
=> ? [X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X8)),X23))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X23),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X8)))) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_less__trans__Suc) ).
fof(fact_nat__diff__split__asm,axiom,
! [X22,X6,X35] :
( hBOOL(hAPP(X35,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X6,X22)))
<=> ~ ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X6),X22))
& ~ hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
| ? [X87] :
( X6 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X22),X87)
& ~ hBOOL(hAPP(X35,X87)) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_not__add__less2) ).
fof(fact_diff__less__Suc,axiom,
! [X29,X30] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)),c_Nat_OSuc(X30))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__less__Suc) ).
fof(fact_less__fun__def,axiom,
! [X1,X2,X5,X13] :
( class_Orderings_Oord(X13)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X5,X13),X2),X1))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X2),X1))
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X1),X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__fun__def) ).
fof(fact_cos__n__Re__cis__pow__n,axiom,
! [X4,X29] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X4)) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4)),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__n__Re__cis__pow__n) ).
fof(fact_sin__n__Im__cis__pow__n,axiom,
! [X4,X29] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X4)) = hAPP(c_Complex_OIm,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4)),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__n__Im__cis__pow__n) ).
fof(fact_Suc__lessI,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> ( c_Nat_OSuc(X30) != X29
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X30)),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__lessI) ).
fof(fact_less__Suc__eq__0__disj,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),c_Nat_OSuc(X27)))
<=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ? [X82] :
( X31 = c_Nat_OSuc(X82)
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X82),X27)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__Suc__eq__0__disj) ).
fof(fact_Suc__diff__diff,axiom,
! [X17,X29,X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X30),X29),c_Nat_OSuc(X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__diff__diff) ).
fof(fact_Suc__leI,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X30)),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__leI) ).
fof(fact_le__Suc__eq,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),c_Nat_OSuc(X27)))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
| X31 = c_Nat_OSuc(X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__Suc__eq) ).
fof(fact_le__less__Suc__eq,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),c_Nat_OSuc(X31)))
<=> X27 = X31 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__less__Suc__eq) ).
fof(fact_Suc__diff__le,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30))
=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X30),X29) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__diff__le) ).
fof(fact_real__of__nat__Suc__gt__zero,axiom,
! [X29] : 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(X29)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__Suc__gt__zero) ).
fof(fact_ex__least__nat__less,axiom,
! [X27,X35] :
( ~ hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
=> ( hBOOL(hAPP(X35,X27))
=> ? [X32] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X32),X27))
& ! [X42] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42),X32))
=> ~ hBOOL(hAPP(X35,X42)) )
& hBOOL(hAPP(X35,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X32),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ex__least__nat__less) ).
fof(fact_less__Suc__eq,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),c_Nat_OSuc(X27)))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
| X31 = X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__Suc__eq) ).
fof(fact_less__Suc__eq__le,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),c_Nat_OSuc(X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__Suc__eq__le) ).
fof(fact_add__Suc,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X30)),X29) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Suc) ).
fof(fact_less__Suc0,axiom,
! [X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
<=> X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__Suc0) ).
fof(fact_less__iff__Suc__add,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
<=> ? [X32] : X27 = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X32)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__iff__Suc__add) ).
fof(fact_cos__le__one,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Ocos(X7)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__le__one) ).
fof(fact_sin__le__one,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Osin(X7)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__le__one) ).
fof(fact_split__zdiv,axiom,
! [X33,X27,X35] :
( hBOOL(hAPP(X35,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X27,X33)))
<=> ( ( X33 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
=> hBOOL(hAPP(X35,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))
=> ! [X42] :
( ? [X82] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X82))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X82),X33))
& X27 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X42)),X82) )
=> hBOOL(hAPP(X35,X42)) ) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
=> ! [X42] :
( ? [X82] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X82))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X82),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
& X27 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X42)),X82) )
=> hBOOL(hAPP(X35,X42)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_split__zdiv) ).
fof(fact_not__real__square__gt__zero,axiom,
! [X10] :
( ~ 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),X10),X10)))
<=> X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__real__square__gt__zero) ).
fof(fact_power__Suc2,axiom,
! [X29,X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Nat_OSuc(X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__Suc2) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
! [X49,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X49)),X7) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Nat_OSuc(X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J) ).
fof(fact_Suc__diff__1,axiom,
! [X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__diff__1) ).
fof(fact_Suc__pred_H,axiom,
! [X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> X29 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__pred_H) ).
fof(fact_cmod__unit__one,axiom,
! [X4] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X4),c_Transcendental_Osin(X4))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cmod__unit__one) ).
fof(fact_less__SucI,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__SucI) ).
fof(fact_le__imp__less__Suc,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__imp__less__Suc) ).
fof(fact_le__SucI,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),c_Nat_OSuc(X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__SucI) ).
fof(fact_add__Suc__shift,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X30)),X29) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),c_Nat_OSuc(X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Suc__shift) ).
fof(fact_mult__Suc,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X30)),X29) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__Suc) ).
fof(fact_add__Suc__right,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),c_Nat_OSuc(X29)) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__Suc__right) ).
fof(fact_realpow__pos__nth2,axiom,
! [X29,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
=> ? [X74] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X74))
& hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X74),c_Nat_OSuc(X29)) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__pos__nth2) ).
fof(fact_cos__arccos__abs,axiom,
! [X12] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X12)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
=> c_Transcendental_Ocos(c_Transcendental_Oarccos(X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__arccos__abs) ).
fof(fact_cos__arg__i__mult__zero__pos,axiom,
! [X12] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X12))
=> c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X12))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__arg__i__mult__zero__pos) ).
fof(fact_abs__not__less__zero,axiom,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Ozero__class_Ozero(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__not__less__zero) ).
fof(fact_power__Suc__0,axiom,
! [X29] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X29) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__Suc__0) ).
fof(fact_cos__arg__i__mult__zero__neg,axiom,
! [X12] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X12),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),X12))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__arg__i__mult__zero__neg) ).
fof(fact_diff__Suc__eq__diff__pred,axiom,
! [X29,X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Nat_OSuc(X29)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__eq__diff__pred) ).
fof(fact_power__Suc,axiom,
! [X29,X4,X5] :
( class_Power_Opower(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Nat_OSuc(X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__Suc) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
! [X49,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Nat_OSuc(X49)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X49)) ),
file('/export/starexec/sandbox2/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,
! [X49,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X49)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Nat_OSuc(X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J) ).
fof(fact_DeMoivre,axiom,
! [X29,X4] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4)),X29) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_DeMoivre) ).
fof(fact_less__le__not__le,axiom,
! [X9,X10,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X9),X10)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__le__not__le) ).
fof(fact_norm__not__less__zero,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X7)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__not__less__zero) ).
fof(fact_diff__Suc__Suc,axiom,
! [X29,X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X30),c_Nat_OSuc(X29)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__Suc) ).
fof(fact_zero__less__Suc,axiom,
! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_OSuc(X29))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__Suc) ).
fof(fact_mult__eq__1__iff,axiom,
! [X27,X31] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X27) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
<=> ( X31 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
& X27 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__eq__1__iff) ).
fof(fact_mult__Suc__right,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),c_Nat_OSuc(X29)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__Suc__right) ).
fof(fact_not__real__of__nat__less__zero,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X29)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__real__of__nat__less__zero) ).
fof(fact_one__is__add,axiom,
! [X27,X31] :
( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X27)
<=> ( ( X31 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
& X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
& X27 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__is__add) ).
fof(fact_add__is__1,axiom,
! [X27,X31] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X27) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
<=> ( ( X31 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
& X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
| ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
& X27 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__is__1) ).
fof(fact_linorder__antisym__conv2,axiom,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__antisym__conv2) ).
fof(fact_lessI,axiom,
! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X29))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lessI) ).
fof(fact_xt1_I9_J,axiom,
! [X4,X11,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I9_J) ).
fof(fact_not__less__iff__gr__or__eq,axiom,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10))
| X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__iff__gr__or__eq) ).
fof(fact_linorder__not__less,axiom,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X9),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__not__less) ).
fof(fact_leD,axiom,
! [X7,X12,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_leD) ).
fof(fact_linorder__not__le,axiom,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__not__le) ).
fof(fact_order__less__not__sym,axiom,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__not__sym) ).
fof(fact_order__less__imp__not__less,axiom,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__imp__not__less) ).
fof(fact_order__less__asym_H,axiom,
! [X11,X4,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__asym_H) ).
fof(fact_order__less__asym,axiom,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__asym) ).
fof(fact_cis__divide,axiom,
! [X11,X4] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocis(X4)),c_Complex_Ocis(X11)) = c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cis__divide) ).
fof(fact_cis__mult,axiom,
! [X11,X4] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X4)),c_Complex_Ocis(X11)) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cis__mult) ).
fof(fact_add__diff__inverse,axiom,
! [X29,X30] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__diff__inverse) ).
fof(fact_linorder__antisym__conv1,axiom,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
<=> X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__antisym__conv1) ).
fof(fact_nat__power__eq__Suc__0__iff,axiom,
! [X31,X10] :
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X10),X31) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
<=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X10 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__power__eq__Suc__0__iff) ).
fof(fact_cis__def,axiom,
! [X4] : c_Complex_Ocis(X4) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X4),c_Transcendental_Osin(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cis__def) ).
fof(fact_real__of__nat__Suc,axiom,
! [X29] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X29)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__Suc) ).
fof(fact_gr0__conv__Suc,axiom,
! [X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X27))
<=> ? [X20] : X27 = c_Nat_OSuc(X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_gr0__conv__Suc) ).
fof(fact_not__one__less__zero,axiom,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),c_Groups_Ozero__class_Ozero(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__one__less__zero) ).
fof(fact_not__one__le__zero,axiom,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5)),c_Groups_Ozero__class_Ozero(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__one__le__zero) ).
fof(fact_cos__arg__i__mult__zero,axiom,
! [X12] :
( X12 != 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),X12))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__arg__i__mult__zero) ).
fof(fact_tsub__def,axiom,
! [X7,X12] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X7))
=> c_Nat__Transfer_Otsub(X7,X12) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,X12) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X7))
=> c_Nat__Transfer_Otsub(X7,X12) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_tsub__def) ).
fof(fact_power__0__Suc,axiom,
! [X29,X5] :
( ( class_Power_Opower(X5)
& class_Rings_Osemiring__0(X5) )
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ozero__class_Ozero(X5)),c_Nat_OSuc(X29)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__0__Suc) ).
fof(fact_sin__zero__abs__cos__one,axiom,
! [X7] :
( c_Transcendental_Osin(X7) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X7)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sin__zero__abs__cos__one) ).
fof(fact_linorder__neqE__linordered__idom,axiom,
! [X12,X7,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( X7 != X12
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).
fof(fact_linorder__antisym__conv3,axiom,
! [X10,X9,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__antisym__conv3) ).
fof(fact_linorder__neqE,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( X7 != X12
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__neqE) ).
fof(fact_linorder__cases,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ( X7 != X12
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__cases) ).
fof(fact_not__leE,axiom,
! [X7,X12,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__leE) ).
fof(fact_leI,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_leI) ).
fof(fact_linorder__le__cases,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__le__cases) ).
fof(fact_Re__rcis,axiom,
! [X4,X23] : hAPP(c_Complex_ORe,c_Complex_Orcis(X23,X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),c_Transcendental_Ocos(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re__rcis) ).
fof(fact_Im__rcis,axiom,
! [X4,X23] : hAPP(c_Complex_OIm,c_Complex_Orcis(X23,X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),c_Transcendental_Osin(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im__rcis) ).
fof(fact_div__1,axiom,
! [X30] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__1) ).
fof(fact_nat_Oinject,axiom,
! [X80,X81] :
( c_Nat_OSuc(X81) = c_Nat_OSuc(X80)
<=> X81 = X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat_Oinject) ).
fof(fact_Suc__inject,axiom,
! [X12,X7] :
( c_Nat_OSuc(X7) = c_Nat_OSuc(X12)
=> X7 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__inject) ).
fof(fact_linorder__neqE__nat,axiom,
! [X12,X7] :
( X7 != X12
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__neqE__nat) ).
fof(fact_diff__Suc__1,axiom,
! [X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X29),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__Suc__1) ).
fof(fact_order__less__irrefl,axiom,
! [X7,X5] :
( class_Orderings_Opreorder(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__irrefl) ).
fof(fact_not__less0,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less0) ).
fof(fact_less__nat__zero__code,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__nat__zero__code) ).
fof(fact_less__zeroE,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__zeroE) ).
fof(fact_cos__one__sin__zero,axiom,
! [X7] :
( c_Transcendental_Ocos(X7) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
=> c_Transcendental_Osin(X7) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cos__one__sin__zero) ).
fof(fact_less__eq__Suc__le__raw,axiom,
! [X27] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X27)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__Suc__le__raw) ).
fof(fact_less__not__refl,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__not__refl) ).
fof(fact_less__irrefl__nat,axiom,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__irrefl__nat) ).
fof(fact_Suc__eq__plus1__left,axiom,
! [X29] : c_Nat_OSuc(X29) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1__left) ).
fof(fact_Suc__not__Zero,axiom,
! [X30] : c_Nat_OSuc(X30) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__not__Zero) ).
fof(fact_nat_Osimps_I3_J,axiom,
! [X78] : c_Nat_OSuc(X78) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat_Osimps_I3_J) ).
fof(fact_Suc__neq__Zero,axiom,
! [X30] : c_Nat_OSuc(X30) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__neq__Zero) ).
fof(fact_Zero__not__Suc,axiom,
! [X30] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).
fof(fact_nat_Osimps_I2_J,axiom,
! [X79] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat_Osimps_I2_J) ).
fof(fact_Zero__neq__Suc,axiom,
! [X30] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).
fof(fact_Suc__n__not__n,axiom,
! [X29] : c_Nat_OSuc(X29) != X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__n__not__n) ).
fof(fact_n__not__Suc__n,axiom,
! [X29] : X29 != c_Nat_OSuc(X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n__not__Suc__n) ).
fof(fact_decr__lemma,axiom,
! [X14,X7,X26] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,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,X7,X14))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X26))),X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_decr__lemma) ).
fof(fact_lemmaCauchy,axiom,
! [X25,X89,X5,X13] :
( ( class_RealVector_Oreal__normed__vector(X13)
& class_Orderings_Oord(X5) )
=> ( ! [X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X89),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,c_Groups_Ominus__class_Ominus(X13,hAPP(X25,X89),hAPP(X25,X8)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )
=> ! [X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X89),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X13,hAPP(X25,X8))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X13,hAPP(X25,X89))))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lemmaCauchy) ).
fof(fact_less__add__iff1,axiom,
! [X52,X22,X21,X85,X6,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X85)),X21)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X85)),X52)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X6,X22)),X85)),X21)),X52)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__iff1) ).
fof(fact_le__add__iff1,axiom,
! [X52,X22,X21,X85,X6,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X85)),X21)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X85)),X52)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X6,X22)),X85)),X21)),X52)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add__iff1) ).
fof(fact_incr__lemma,axiom,
! [X7,X14,X26] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X14),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X7),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,X7,X14))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_incr__lemma) ).
fof(fact_nat__less__add__iff1,axiom,
! [X27,X31,X88,X83,X84] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X83))
=> ( 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),X83),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X27)))
<=> 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,X83,X84)),X88)),X31)),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__less__add__iff1) ).
fof(fact_nat__le__add__iff1,axiom,
! [X27,X31,X88,X83,X84] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X83))
=> ( 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),X83),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X27)))
<=> 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,X83,X84)),X88)),X31)),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__le__add__iff1) ).
fof(fact_BseqI2_H,axiom,
! [X40,X25,X41,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( ! [X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X41),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(X25,X8))),X40)) )
=> c_SEQ_OBseq(X5,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_BseqI2_H) ).
fof(fact_Bseq__offset,axiom,
! [X33,X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_OBseq(X5,c_COMBB(tc_Nat_Onat,X5,tc_Nat_Onat,X25,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33)))
=> c_SEQ_OBseq(X5,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__offset) ).
fof(fact_less__add__iff2,axiom,
! [X52,X22,X21,X85,X6,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X85)),X21)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X85)),X52)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X21),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X22,X6)),X85)),X52))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__iff2) ).
fof(fact_le__add__iff2,axiom,
! [X52,X22,X21,X85,X6,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X85)),X21)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X85)),X52)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X21),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X22,X6)),X85)),X52))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add__iff2) ).
fof(fact_le__fun__def,axiom,
! [X1,X2,X5,X13] :
( class_Orderings_Oord(X13)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X2),X1))
<=> ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,hAPP(X2,X3)),hAPP(X1,X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__fun__def) ).
fof(fact_nat__less__add__iff2,axiom,
! [X27,X31,X88,X84,X83] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83),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),X83),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X27)))
<=> 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,X84,X83)),X88)),X27))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__less__add__iff2) ).
fof(fact_nat__le__add__iff2,axiom,
! [X27,X31,X88,X84,X83] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83),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),X83),X88)),X31)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X27)))
<=> 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,X84,X83)),X88)),X27))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__le__add__iff2) ).
fof(fact_lemma__MVT,axiom,
! [X22,X6,X2] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X6),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,X22),hAPP(X2,X6))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X22,X6))),X6)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X2,X22),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,X22),hAPP(X2,X6))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X22,X6))),X22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lemma__MVT) ).
fof(fact_mult_Oprod__diff__prod,axiom,
! [X11,X4,X12,X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X7,X4)),c_Groups_Ominus__class_Ominus(X5,X12,X11))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X7,X4)),X11))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Ominus__class_Ominus(X5,X12,X11))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Oprod__diff__prod) ).
fof(fact_reduce__poly__simple,axiom,
! [X29,X11] :
( X11 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
=> ( X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> ? [X66] : 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),X11),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X66),X29))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_reduce__poly__simple) ).
fof(fact_mult_Oconvergent,axiom,
! [X38,X25,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ( c_SEQ_Oconvergent(X5,X25)
=> ( c_SEQ_Oconvergent(X5,X38)
=> c_SEQ_Oconvergent(X5,c_COMBS(tc_Nat_Onat,X5,X5,c_COMBB(X5,tc_fun(X5,X5),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X5),X25),X38)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Oconvergent) ).
fof(fact_convergent__add,axiom,
! [X38,X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_Oconvergent(X5,X25)
=> ( c_SEQ_Oconvergent(X5,X38)
=> c_SEQ_Oconvergent(X5,c_COMBS(tc_Nat_Onat,X5,X5,c_COMBB(X5,tc_fun(X5,X5),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X5),X25),X38)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_convergent__add) ).
fof(fact_abs__diff__triangle__ineq,axiom,
! [X26,X15,X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X26)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X4,X15))),c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X11,X26))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__diff__triangle__ineq) ).
fof(fact_divide_Oconvergent,axiom,
! [X9,X25,X5] :
( class_RealVector_Oreal__normed__field(X5)
=> ( c_SEQ_Oconvergent(X5,X25)
=> c_SEQ_Oconvergent(X5,c_COMBC(tc_Nat_Onat,X5,X5,c_COMBB(X5,tc_fun(X5,X5),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(X5),X25),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide_Oconvergent) ).
fof(fact_mult__left_Oconvergent,axiom,
! [X9,X25,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ( c_SEQ_Oconvergent(X5,X25)
=> c_SEQ_Oconvergent(X5,c_COMBC(tc_Nat_Onat,X5,X5,c_COMBB(X5,tc_fun(X5,X5),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X5),X25),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Oconvergent) ).
fof(fact_norm__diff__triangle__ineq,axiom,
! [X26,X15,X11,X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X26)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X4,X15))),c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X11,X26))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__diff__triangle__ineq) ).
fof(fact_Bseq__ignore__initial__segment,axiom,
! [X33,X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_OBseq(X5,X25)
=> c_SEQ_OBseq(X5,c_COMBB(tc_Nat_Onat,X5,tc_Nat_Onat,X25,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__ignore__initial__segment) ).
fof(fact_metric__bound__lemma,axiom,
! [X12,X7] : 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,X7,X12))),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,X7),hAPP(c_Complex_ORe,X12)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X7),hAPP(c_Complex_OIm,X12)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_metric__bound__lemma) ).
fof(fact_DERIV__mult__lemma,axiom,
! [X102,X26,X15,X11,X4,X5] :
( class_RealVector_Oreal__field(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X26))),X102) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ominus__class_Ominus(X5,X11,X26)),X102))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ominus__class_Ominus(X5,X4,X15)),X102)),X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_DERIV__mult__lemma) ).
fof(fact_unique__quotient__lemma,axiom,
! [X23,X49,X67,X68,X11] :
( 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),X11),X68)),X67)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),X49)),X23)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X67))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X67),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X23),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X68),X49)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unique__quotient__lemma) ).
fof(fact_unique__quotient__lemma__neg,axiom,
! [X23,X49,X67,X68,X11] :
( 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),X11),X68)),X67)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),X49)),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,X11),X23))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X11),X67))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X49),X68)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unique__quotient__lemma__neg) ).
fof(fact_sum__squares__le__zero__iff,axiom,
! [X9,X10,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X9),X9))),c_Groups_Ozero__class_Ozero(X5)))
<=> ( X10 = c_Groups_Ozero__class_Ozero(X5)
& X9 = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sum__squares__le__zero__iff) ).
fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,
! [X29,X7] :
( 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_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,X29)),X7)),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),X7),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_LIMSEQ__inverse__realpow__zero__lemma) ).
fof(fact_zdiv__mono2__neg__lemma,axiom,
! [X67,X68,X58,X23,X49,X11] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),X49)),X23) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X58),X68)),X67)
=> ( 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),X58),X68)),X67)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X23),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X67))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X58))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X58),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X68),X49)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__mono2__neg__lemma) ).
fof(fact_real__of__nat__div3,axiom,
! [X7,X29] : 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,X29)),c_RealDef_Oreal(tc_Nat_Onat,X7)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X7)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__div3) ).
fof(fact_unimodular__reduce__norm,axiom,
! [X14] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X14) = 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),X14),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,X14,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),X14),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,X14,c_Complex_Oii))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unimodular__reduce__norm) ).
fof(fact_convex__bound__lt,axiom,
! [X44,X45,X12,X4,X7,X5] :
( class_Rings_Olinordered__semiring__1__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X45))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X44))
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X45),X44) = c_Groups_Oone__class_Oone(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X45),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X44),X12))),X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_convex__bound__lt) ).
fof(fact_convex__bound__le,axiom,
! [X44,X45,X12,X4,X7,X5] :
( class_Rings_Olinordered__semiring__1(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X45))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X44))
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X45),X44) = c_Groups_Oone__class_Oone(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X45),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X44),X12))),X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_convex__bound__le) ).
fof(fact_BseqI,axiom,
! [X25,X40,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X40))
=> ( ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(X25,X8))),X40))
=> c_SEQ_OBseq(X5,X25) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_BseqI) ).
fof(fact_Bseq__def,axiom,
! [X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_OBseq(X5,X25)
<=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(X25,X8))),X37)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__def) ).
fof(fact_odd__less__0,axiom,
! [X53] :
( 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)),X53)),X53)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X53),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_odd__less__0) ).
fof(fact_q__neg__lemma,axiom,
! [X67,X68,X58] :
( 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),X58),X68)),X67)),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)),X67))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X58))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X68),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_q__neg__lemma) ).
fof(fact_nat__diff__add__eq1,axiom,
! [X29,X30,X45,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),X45)),X30),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X45)),X29)) = 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)),X45)),X30),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__diff__add__eq1) ).
fof(fact_nat__diff__add__eq2,axiom,
! [X29,X30,X45,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),X45)),X30),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X45)),X29)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,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,X18,X19)),X45)),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__diff__add__eq2) ).
fof(fact_mult_Obounded,axiom,
! [X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
! [X71,X72] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X71),X72))),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(X5,X71)),c_RealVector_Onorm__class_Onorm(X5,X72))),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Obounded) ).
fof(fact_mult_Ononneg__bounded,axiom,
! [X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X71,X72] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X71),X72))),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(X5,X71)),c_RealVector_Onorm__class_Onorm(X5,X72))),X37))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Ononneg__bounded) ).
fof(fact_mult_Opos__bounded,axiom,
! [X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X71,X72] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X71),X72))),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(X5,X71)),c_RealVector_Onorm__class_Onorm(X5,X72))),X37))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Opos__bounded) ).
fof(fact_zdiv__mono2__lemma,axiom,
! [X67,X68,X58,X23,X49,X11] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),X49)),X23) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X58),X68)),X67)
=> ( 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),X58),X68)),X67)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X67),X58))
=> ( 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)),X58))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X58),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X49),X68)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__mono2__lemma) ).
fof(fact_complex__mult__def,axiom,
! [X12,X7] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X7),X12) = 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,X7)),hAPP(c_Complex_ORe,X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X7)),hAPP(c_Complex_OIm,X12))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X7)),hAPP(c_Complex_OIm,X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X7)),hAPP(c_Complex_ORe,X12)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__mult__def) ).
fof(fact_mult__right_Oconvergent,axiom,
! [X10,X25,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ( c_SEQ_Oconvergent(X5,X25)
=> c_SEQ_Oconvergent(X5,c_COMBB(X5,X5,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X25)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Oconvergent) ).
fof(help_c__COMBS__1,axiom,
! [X107,X108,X35,X5,X109,X13] : hAPP(c_COMBS(X13,X109,X5,X35,X108),X107) = hAPP(hAPP(X35,X107),hAPP(X108,X107)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(help_c__COMBC__1,axiom,
! [X107,X108,X35,X5,X109,X13] : hAPP(c_COMBC(X13,X109,X5,X35,X108),X107) = hAPP(hAPP(X35,X107),X108),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(help_c__COMBB__1,axiom,
! [X107,X108,X35,X109,X5,X13] : hAPP(c_COMBB(X13,X5,X109,X35,X108),X107) = hAPP(X35,hAPP(X108,X107)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(fact_sum__squares__gt__zero__iff,axiom,
! [X9,X10,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X9),X9))))
<=> ( X10 != c_Groups_Ozero__class_Ozero(X5)
| X9 != c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sum__squares__gt__zero__iff) ).
fof(fact_Re_Oconvergent,axiom,
! [X25] :
( c_SEQ_Oconvergent(tc_Complex_Ocomplex,X25)
=> c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re_Oconvergent) ).
fof(fact_Im_Oconvergent,axiom,
! [X25] :
( c_SEQ_Oconvergent(tc_Complex_Ocomplex,X25)
=> c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X25)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im_Oconvergent) ).
fof(fact_abs__triangle__ineq3,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,c_Groups_Oabs__class_Oabs(X5,X4),c_Groups_Oabs__class_Oabs(X5,X11)))),c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__triangle__ineq3) ).
fof(fact_complex__mod__triangle__ineq2,axiom,
! [X4,X11] : 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),X11),X4)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X11))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__mod__triangle__ineq2) ).
fof(fact_norm__triangle__ineq3,axiom,
! [X11,X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> 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(X5,X4),c_RealVector_Onorm__class_Onorm(X5,X11)))),c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__triangle__ineq3) ).
fof(fact_abs__diff__less__iff,axiom,
! [X86,X6,X10,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X10,X6))),X86))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ominus__class_Ominus(X5,X6,X86)),X10))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X86))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__diff__less__iff) ).
fof(fact_eq__add__iff1,axiom,
! [X52,X22,X21,X85,X6,X5] :
( class_Rings_Oring(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X85)),X21) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X85)),X52)
<=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X6,X22)),X85)),X21) = X52 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__add__iff1) ).
fof(fact_eq__add__iff2,axiom,
! [X52,X22,X21,X85,X6,X5] :
( class_Rings_Oring(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X85)),X21) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X85)),X52)
<=> X21 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X22,X6)),X85)),X52) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__add__iff2) ).
fof(fact_nat__eq__add__iff1,axiom,
! [X27,X31,X88,X83,X84] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),X83))
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X83),X88)),X31) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X27)
<=> 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,X83,X84)),X88)),X31) = X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__eq__add__iff1) ).
fof(fact_nat__eq__add__iff2,axiom,
! [X27,X31,X88,X84,X83] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83),X84))
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X83),X88)),X31) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X84),X88)),X27)
<=> 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,X84,X83)),X88)),X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__eq__add__iff2) ).
fof(fact_lemma__interval,axiom,
! [X11,X7,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X7),X11))
=> ? [X87] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X87))
& ! [X73] :
( 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,X7,X73))),X87))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4),X73))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X73),X11)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_lemma__interval) ).
fof(fact_real__of__nat__div2,axiom,
! [X7,X29] : 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,X29)),c_RealDef_Oreal(tc_Nat_Onat,X7)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X7))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__div2) ).
fof(fact_complex__mod__triangle__sub,axiom,
! [X14,X16] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X16)),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),X16),X14))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X14)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__mod__triangle__sub) ).
fof(fact_abs__mult__less,axiom,
! [X26,X11,X15,X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oabs__class_Oabs(X5,X4)),X15))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oabs__class_Oabs(X5,X11)),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__mult__less) ).
fof(fact_q__pos__lemma,axiom,
! [X67,X68,X58] :
( 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),X58),X68)),X67)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X67),X58))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X58))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X68)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_q__pos__lemma) ).
fof(fact_combine__common__factor,axiom,
! [X15,X11,X59,X4,X5] :
( class_Rings_Osemiring(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X59)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X59)),X15)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X59)),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_combine__common__factor) ).
fof(fact_power__Suc__less,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__Suc__less) ).
fof(fact_norm__mult__less,axiom,
! [X24,X12,X23,X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X7)),X23))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X12)),X24))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X24))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__mult__less) ).
fof(fact_norm__add__less,axiom,
! [X24,X12,X23,X7,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X7)),X23))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X12)),X24))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X12))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X23),X24))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__add__less) ).
fof(fact_left__add__mult__distrib,axiom,
! [X17,X18,X45,X19] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X19),X45)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X45)),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)),X45)),X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_left__add__mult__distrib) ).
fof(fact_abs__triangle__ineq4,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__triangle__ineq4) ).
fof(fact_sum__squares__ge__zero,axiom,
! [X12,X7,X5] :
( class_Rings_Olinordered__ring(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X12)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sum__squares__ge__zero) ).
fof(fact_norm__triangle__ineq4,axiom,
! [X11,X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4)),c_RealVector_Onorm__class_Onorm(X5,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__triangle__ineq4) ).
fof(fact_abs__triangle__ineq,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oabs__class_Oabs(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__triangle__ineq) ).
fof(fact_mult__left_Obounded,axiom,
! [X12,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X3),X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Obounded) ).
fof(fact_mult__left_Ononneg__bounded,axiom,
! [X12,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X3),X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),X37))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Ononneg__bounded) ).
fof(fact_mult__left_Opos__bounded,axiom,
! [X12,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X3),X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),X37))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Opos__bounded) ).
fof(fact_norm__mult__ineq,axiom,
! [X12,X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X7)),c_RealVector_Onorm__class_Onorm(X5,X12)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__mult__ineq) ).
fof(fact_mult__right_Obounded,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Obounded) ).
fof(fact_mult__right_Ononneg__bounded,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),X37))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Ononneg__bounded) ).
fof(fact_mult__right_Opos__bounded,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X3] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X3))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X3)),X37))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Opos__bounded) ).
fof(fact_norm__triangle__ineq,axiom,
! [X12,X7,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X12))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X7)),c_RealVector_Onorm__class_Onorm(X5,X12)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__triangle__ineq) ).
fof(fact_divide__left__mono,axiom,
! [X15,X4,X11,X5] :
( class_Fields_Olinordered__field(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X15),X4)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X15),X11))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__left__mono) ).
fof(fact_mult__diff__mult,axiom,
! [X11,X4,X12,X7,X5] :
( class_Rings_Oring(X5)
=> c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),c_Groups_Ominus__class_Ominus(X5,X12,X11))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X7,X4)),X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__diff__mult) ).
fof(fact_divide__left__mono__neg,axiom,
! [X15,X11,X4,X5] :
( class_Fields_Olinordered__field__inverse__zero(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X15),X4)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X15),X11))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__left__mono__neg) ).
fof(fact_real__of__nat__div4,axiom,
! [X7,X29] : 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,X29,X7))),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_RealDef_Oreal(tc_Nat_Onat,X7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__div4) ).
fof(fact_nat__less__real__le,axiom,
! [X31,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),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,X27)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,X31))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__less__real__le) ).
fof(fact_less__diff__iff,axiom,
! [X27,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),X27))
=> ( 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,X27,X33)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__diff__iff) ).
fof(fact_le__diff__iff,axiom,
! [X27,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),X27))
=> ( 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,X27,X33)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__diff__iff) ).
fof(fact_abs__triangle__ineq2,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ominus__class_Ominus(X5,c_Groups_Oabs__class_Oabs(X5,X4),c_Groups_Oabs__class_Oabs(X5,X11))),c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__triangle__ineq2) ).
fof(fact_abs__triangle__ineq2__sym,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ominus__class_Ominus(X5,c_Groups_Oabs__class_Oabs(X5,X4),c_Groups_Oabs__class_Oabs(X5,X11))),c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X11,X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__triangle__ineq2__sym) ).
fof(fact_norm__power__ineq,axiom,
! [X29,X7,X5] :
( class_RealVector_Oreal__normed__algebra__1(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X29))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X7)),X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__power__ineq) ).
fof(fact_norm__triangle__ineq2,axiom,
! [X11,X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X5,X11))),c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__triangle__ineq2) ).
fof(fact_norm__diff__ineq,axiom,
! [X11,X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X5,X11))),c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__diff__ineq) ).
fof(fact_mult__right__less__imp__less,axiom,
! [X11,X15,X4,X5] :
( class_Rings_Olinordered__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right__less__imp__less) ).
fof(fact_mult__less__imp__less__right,axiom,
! [X11,X15,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__imp__less__right) ).
fof(fact_power__less__imp__less__base,axiom,
! [X11,X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__less__imp__less__base) ).
fof(fact_mult__left__less__imp__less,axiom,
! [X11,X4,X15,X5] :
( class_Rings_Olinordered__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left__less__imp__less) ).
fof(fact_mult__less__imp__less__left,axiom,
! [X11,X4,X15,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__imp__less__left) ).
fof(fact_mult__less__cancel__left__pos,axiom,
! [X22,X6,X21,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X21))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel__left__pos) ).
fof(fact_mult__right__le__imp__le,axiom,
! [X11,X15,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right__le__imp__le) ).
fof(fact_mult__left__le__imp__le,axiom,
! [X11,X4,X15,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left__le__imp__le) ).
fof(fact_mult__le__cancel__left__pos,axiom,
! [X22,X6,X21,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X21))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),X22)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__le__cancel__left__pos) ).
fof(fact_power__strict__increasing__iff,axiom,
! [X9,X10,X22,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X22))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X22),X10)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X22),X9)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X10),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__strict__increasing__iff) ).
fof(fact_power__less__imp__less__exp,axiom,
! [X29,X30,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X30)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__less__imp__less__exp) ).
fof(fact_power__le__imp__le__exp,axiom,
! [X29,X30,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X30)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__le__imp__le__exp) ).
fof(fact_power__increasing__iff,axiom,
! [X9,X10,X22,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X22))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X22),X10)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X22),X9)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__increasing__iff) ).
fof(fact_mult__less__cancel__left__neg,axiom,
! [X22,X6,X21,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X21),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X22),X6)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel__left__neg) ).
fof(fact_mult__le__cancel__left__neg,axiom,
! [X22,X6,X21,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X21),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X22),X6)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__le__cancel__left__neg) ).
fof(fact_mult__less__cancel__left__disj,axiom,
! [X22,X6,X21,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X21),X22)))
<=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X21))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22)) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X21),c_Groups_Ozero__class_Ozero(X5)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X22),X6)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel__left__disj) ).
fof(fact_mult__less__cancel__right__disj,axiom,
! [X22,X21,X6,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X21)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X21)))
<=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X21))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22)) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X21),c_Groups_Ozero__class_Ozero(X5)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X22),X6)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel__right__disj) ).
fof(fact_mult__strict__mono,axiom,
! [X26,X15,X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),X26))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X26))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__strict__mono) ).
fof(fact_mult__strict__mono_H,axiom,
! [X26,X15,X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),X26))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X26))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__strict__mono_H) ).
fof(fact_mult__le__less__imp__less,axiom,
! [X26,X15,X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),X26))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X26))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__le__less__imp__less) ).
fof(fact_mult__less__le__imp__less,axiom,
! [X26,X15,X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),X26))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X26))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__le__imp__less) ).
fof(fact_mult__mono_H,axiom,
! [X26,X15,X11,X4,X5] :
( class_Rings_Oordered__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),X26))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X26))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__mono_H) ).
fof(fact_mult__mono,axiom,
! [X26,X15,X11,X4,X5] :
( class_Rings_Oordered__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),X26))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X26))) ) ) ) ) ),
file('/export/starexec/sandbox2/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))
=> ? [X8] :
( 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,X8,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,X8))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_reals__Archimedean6) ).
fof(fact_power__less__power__Suc,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__less__power__Suc) ).
fof(fact_le__mult__natfloor,axiom,
! [X11,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X4)),c_RComplete_Onatfloor(X11))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X11)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__mult__natfloor) ).
fof(fact_complex__mult,axiom,
! [X26,X15,X11,X4] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X4,X11)),c_Complex_Ocomplex_OComplex(X15,X26)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X26)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4),X26)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X15))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__mult) ).
fof(fact_nat__power__less__imp__less,axiom,
! [X29,X30,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),X30)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X19),X29)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__power__less__imp__less) ).
fof(fact_nat__mult__less__cancel1,axiom,
! [X27,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),X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__less__cancel1) ).
fof(fact_real__mult__less__iff1,axiom,
! [X9,X10,X53] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X53))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X53)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X53)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__less__iff1) ).
fof(fact_mult__le__cancel2,axiom,
! [X27,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),X27),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),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__le__cancel2) ).
fof(fact_nat__mult__le__cancel1,axiom,
! [X27,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),X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__le__cancel1) ).
fof(fact_mult__le__cancel1,axiom,
! [X27,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),X27)))
<=> ( 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),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__le__cancel1) ).
fof(fact_real__mult__le__cancel__iff1,axiom,
! [X9,X10,X53] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X53))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X53)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X53)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__le__cancel__iff1) ).
fof(fact_real__mult__le__cancel__iff2,axiom,
! [X9,X10,X53] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X53))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X53),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X53),X9)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__le__cancel__iff2) ).
fof(fact_add__less__imp__less__right,axiom,
! [X11,X15,X4,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X15)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__less__imp__less__right) ).
fof(fact_add__less__cancel__right,axiom,
! [X22,X21,X6,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X21)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X22),X21)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__less__cancel__right) ).
fof(fact_add__less__imp__less__left,axiom,
! [X11,X4,X15,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X11)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__less__imp__less__left) ).
fof(fact_add__less__cancel__left,axiom,
! [X22,X6,X21,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X21),X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X21),X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__less__cancel__left) ).
fof(fact_add__le__imp__le__right,axiom,
! [X11,X15,X4,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X15)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__imp__le__right) ).
fof(fact_add__le__cancel__right,axiom,
! [X22,X21,X6,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X21)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X22),X21)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),X22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__cancel__right) ).
fof(fact_add__le__imp__le__left,axiom,
! [X11,X4,X15,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X11)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__imp__le__left) ).
fof(fact_add__le__cancel__left,axiom,
! [X22,X6,X21,X5] :
( class_Groups_Oordered__ab__semigroup__add__imp__le(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X21),X6)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X21),X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),X22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__cancel__left) ).
fof(fact_crossproduct__noteq,axiom,
! [X52,X21,X22,X6,X5] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
=> ( ( X6 != X22
& X21 != X52 )
<=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X21)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X52)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X52)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X22),X21)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_crossproduct__noteq) ).
fof(fact_crossproduct__eq,axiom,
! [X53,X10,X9,X54,X5] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X54),X9)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X53)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X54),X53)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X9))
<=> ( X54 = X10
| X9 = X53 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_crossproduct__eq) ).
fof(fact_power__strict__mono,axiom,
! [X29,X11,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( 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(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__strict__mono) ).
fof(fact_power__strict__decreasing,axiom,
! [X4,X62,X29,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X62))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X62)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__strict__decreasing) ).
fof(fact_power__decreasing,axiom,
! [X4,X62,X29,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X62))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X62)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__decreasing) ).
fof(fact_zdiv__mono2,axiom,
! [X11,X58,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X58))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X58),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X58))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__mono2) ).
fof(fact_le__diff__conv2,axiom,
! [X83,X84,X33] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X84))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X33)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X83),X33)),X84)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__diff__conv2) ).
fof(fact_zdiv__mono2__neg,axiom,
! [X11,X58,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),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)),X58))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X58),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X58)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__mono2__neg) ).
fof(fact_ln__add__one__self__le__self,axiom,
! [X7] :
( 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_RealDef_Oreal,c_Transcendental_Oln(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X7))),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__add__one__self__le__self) ).
fof(fact_mult__less__cancel1,axiom,
! [X27,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),X27)))
<=> ( 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),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel1) ).
fof(fact_mult__less__cancel2,axiom,
! [X27,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),X27),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),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__less__cancel2) ).
fof(fact_split__div,axiom,
! [X33,X27,X35] :
( hBOOL(hAPP(X35,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X27,X33)))
<=> ( ( X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
& ( X33 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> ! [X42,X82] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X82),X33))
=> ( X27 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X42)),X82)
=> hBOOL(hAPP(X35,X42)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_split__div) ).
fof(fact_nat__add__left__cancel__less,axiom,
! [X27,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),X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__left__cancel__less) ).
fof(fact_nat__add__left__cancel__le,axiom,
! [X27,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),X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__left__cancel__le) ).
fof(fact_le__diff__conv,axiom,
! [X83,X33,X84] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X33)),X83))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X84),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X83),X33))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__diff__conv) ).
fof(fact_natceiling__eq,axiom,
! [X7,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X29)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
=> c_RComplete_Onatceiling(X7) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__eq) ).
fof(fact_mult__le__0__iff,axiom,
! [X22,X6,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X22)),c_Groups_Ozero__class_Ozero(X5)))
<=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X6))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X22),c_Groups_Ozero__class_Ozero(X5))) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),c_Groups_Ozero__class_Ozero(X5)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X22)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__le__0__iff) ).
fof(fact_pos__imp__zdiv__neg__iff,axiom,
! [X6,X22] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X22))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X6,X22)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X6),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__imp__zdiv__neg__iff) ).
fof(fact_mult__strict__right__mono,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__strict__right__mono) ).
fof(fact_comm__mult__strict__left__mono,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Olinordered__comm__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__mult__strict__left__mono) ).
fof(fact_mult__strict__left__mono,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__strict__left__mono) ).
fof(fact_power__mono,axiom,
! [X29,X11,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__mono) ).
fof(fact_mult__right__mono,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Oordered__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right__mono) ).
fof(fact_comm__mult__left__mono,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Oordered__comm__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__mult__left__mono) ).
fof(fact_mult__left__mono,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Oordered__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left__mono) ).
fof(fact_neg__imp__zdiv__neg__iff,axiom,
! [X6,X22] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X22),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,X6,X22)),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)),X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_neg__imp__zdiv__neg__iff) ).
fof(fact_ge__natfloor__plus__one__imp__gt,axiom,
! [X29,X14] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X14)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X14),c_RealDef_Oreal(tc_Nat_Onat,X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ge__natfloor__plus__one__imp__gt) ).
fof(fact_reals__Archimedean3,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> ! [X73] :
? [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X73),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X8)),X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_reals__Archimedean3) ).
fof(fact_power__strict__increasing,axiom,
! [X4,X62,X29,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X62))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X62))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__strict__increasing) ).
fof(fact_power__increasing,axiom,
! [X4,X62,X29,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X62))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X62))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__increasing) ).
fof(fact_mult__right__le__one__le,axiom,
! [X12,X7,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12)),X7)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right__le__one__le) ).
fof(fact_mult__left__le__one__le,axiom,
! [X12,X7,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),c_Groups_Oone__class_Oone(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X7)),X7)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left__le__one__le) ).
fof(fact_mult__strict__right__mono__neg,axiom,
! [X15,X4,X11,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__strict__right__mono__neg) ).
fof(fact_mult__strict__left__mono__neg,axiom,
! [X15,X4,X11,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__strict__left__mono__neg) ).
fof(fact_mult__right__mono__neg,axiom,
! [X15,X4,X11,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right__mono__neg) ).
fof(fact_mult__left__mono__neg,axiom,
! [X15,X4,X11,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left__mono__neg) ).
fof(fact_natfloor__eq,axiom,
! [X7,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X29)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
=> c_RComplete_Onatfloor(X7) = X29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__eq) ).
fof(fact_less__diff__conv,axiom,
! [X33,X84,X83] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X83),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X33)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X83),X33)),X84)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__diff__conv) ).
fof(fact_add__strict__mono,axiom,
! [X26,X15,X11,X4,X5] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__mono) ).
fof(fact_add__le__less__mono,axiom,
! [X26,X15,X11,X4,X5] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X15),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__less__mono) ).
fof(fact_add__less__le__mono,axiom,
! [X26,X15,X11,X4,X5] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__less__le__mono) ).
fof(fact_add__mono,axiom,
! [X26,X15,X11,X4,X5] :
( class_Groups_Oordered__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X15),X26))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X26))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__mono) ).
fof(fact_zdiv__mono1,axiom,
! [X11,X56,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X56))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X56,X11))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__mono1) ).
fof(fact_div__le__mono2,axiom,
! [X17,X29,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,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X29)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X30))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__le__mono2) ).
fof(fact_zdiv__mono1__neg,axiom,
! [X11,X56,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4),X56))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X11),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,X56,X11)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__mono1__neg) ).
fof(fact_diff__less__mono,axiom,
! [X15,X11,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X15),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4,X15)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X11,X15))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__less__mono) ).
fof(fact_diff__less__mono2,axiom,
! [X34,X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X34))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X29)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X30))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__less__mono2) ).
fof(fact_nat__le__real__less,axiom,
! [X31,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X27),X31))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X27)),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/sandbox2/benchmark/theBenchmark.p',fact_nat__le__real__less) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
! [X46,X47,X51,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X51)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),X46)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X51)),X46)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J) ).
fof(fact_less__iff__diff__less__0,axiom,
! [X22,X6,X5] :
( class_Groups_Oordered__ab__group__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ominus__class_Ominus(X5,X6,X22)),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__iff__diff__less__0) ).
fof(fact_le__iff__diff__le__0,axiom,
! [X22,X6,X5] :
( class_Groups_Oordered__ab__group__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),X22))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ominus__class_Ominus(X5,X6,X22)),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__iff__diff__le__0) ).
fof(fact_th,axiom,
! [X8] : 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,X8)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th) ).
fof(fact_power__gt1__lemma,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__gt1__lemma) ).
fof(fact_realpow__minus__mult,axiom,
! [X7,X29,X5] :
( class_Groups_Omonoid__mult(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X7) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X29) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__minus__mult) ).
fof(fact_even__less__0__iff,axiom,
! [X6,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6)),c_Groups_Ozero__class_Ozero(X5)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_even__less__0__iff) ).
fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
! [X6,X5] :
( class_Groups_Olinordered__ab__group__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6)),c_Groups_Ozero__class_Ozero(X5)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__add__less__zero__iff__single__add__less__zero) ).
fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
! [X6,X5] :
( class_Groups_Olinordered__ab__group__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6)),c_Groups_Ozero__class_Ozero(X5)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__add__le__zero__iff__single__add__le__zero) ).
fof(fact_incseq__def,axiom,
! [X25,X5] :
( class_Orderings_Oorder(X5)
=> ( c_SEQ_Oincseq(X5,X25)
<=> ! [X20,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(X25,X20)),hAPP(X25,X8))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_incseq__def) ).
fof(fact_decseq__def,axiom,
! [X25,X5] :
( class_Orderings_Oorder(X5)
=> ( c_SEQ_Odecseq(X5,X25)
<=> ! [X20,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(X25,X8)),hAPP(X25,X20))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_decseq__def) ).
fof(fact_monoseq__def,axiom,
! [X25,X5] :
( class_Orderings_Oorder(X5)
=> ( c_SEQ_Omonoseq(X5,X25)
<=> ( ! [X20,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(X25,X20)),hAPP(X25,X8))) )
| ! [X20,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(X25,X8)),hAPP(X25,X20))) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_mult__less__mono2) ).
fof(fact_real__mult__less__mono2,axiom,
! [X12,X7,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(tc_RealDef_Oreal,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X14),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X14),X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__less__mono2) ).
fof(fact_norm__ratiotest__lemma,axiom,
! [X12,X7,X15,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X15),c_RealVector_Onorm__class_Onorm(X5,X12))))
=> X7 = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__ratiotest__lemma) ).
fof(fact_less__bin__lemma,axiom,
! [X39,X33] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X39))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X33,X39)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__bin__lemma) ).
fof(fact_real__le__eq__diff,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X10,X9)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__eq__diff) ).
fof(fact_zadd__zless__mono,axiom,
! [X14,X64,X16,X65] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X65),X16))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X64),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X65),X64)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X16),X14))) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_add__le__mono) ).
fof(fact_add__strict__right__mono,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X15))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__right__mono) ).
fof(fact_add__strict__left__mono,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__cancel__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X11))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__left__mono) ).
fof(fact_add__right__mono,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X15))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__right__mono) ).
fof(fact_add__left__mono,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__ab__semigroup__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X4)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X11))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__left__mono) ).
fof(fact_complex__Im__mult,axiom,
! [X12,X7] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X7),X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X7)),hAPP(c_Complex_OIm,X12))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X7)),hAPP(c_Complex_ORe,X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__Im__mult) ).
fof(fact_mult__neg__pos,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__neg__pos) ).
fof(fact_mult__pos__neg,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__pos__neg) ).
fof(fact_mult__pos__neg2,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X4)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__pos__neg2) ).
fof(fact_split__mult__neg__le,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__cancel__semiring(X5)
=> ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5))) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11)) ) )
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_split__mult__neg__le) ).
fof(fact_mult__nonpos__nonneg,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__cancel__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__nonpos__nonneg) ).
fof(fact_mult__nonneg__nonpos,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__cancel__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__nonneg__nonpos) ).
fof(fact_mult__nonneg__nonpos2,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__cancel__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X4)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__nonneg__nonpos2) ).
fof(fact_rabs__ratiotest__lemma,axiom,
! [X12,X7,X15] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X15),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,X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X15),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X12))))
=> X7 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rabs__ratiotest__lemma) ).
fof(fact_div__le__mono,axiom,
! [X17,X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X17)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X29,X17))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__le__mono) ).
fof(fact_diff__le__mono,axiom,
! [X34,X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X34)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X34))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__le__mono) ).
fof(fact_diff__le__mono2,axiom,
! [X34,X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X29)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X34,X30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__le__mono2) ).
fof(fact_add__neg__neg,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__neg__neg) ).
fof(fact_add__nonpos__neg,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__nonpos__neg) ).
fof(fact_add__neg__nonpos,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__neg__nonpos) ).
fof(fact_add__nonpos__nonpos,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),c_Groups_Ozero__class_Ozero(X5))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__nonpos__nonpos) ).
fof(fact_add1__zle__eq,axiom,
! [X53,X54] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X54),c_Groups_Oone__class_Oone(tc_Int_Oint))),X53))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X54),X53)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add1__zle__eq) ).
fof(fact_zero__less__mult__pos2,axiom,
! [X4,X11,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X4)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__mult__pos2) ).
fof(fact_zero__less__mult__pos,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__mult__pos) ).
fof(fact_int__div__less__self,axiom,
! [X17,X7] :
( 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_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,X7,X17)),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__div__less__self) ).
fof(fact_div__less__dividend,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X29))
=> ( 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(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29)),X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__less__dividend) ).
fof(fact_diff__less,axiom,
! [X30,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_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X30))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)),X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__less) ).
fof(fact_div__neg__pos__less0,axiom,
! [X11,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),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)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__neg__pos__less0) ).
fof(fact_div__nonneg__neg__le0,axiom,
! [X11,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X11),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,X4,X11)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__nonneg__neg__le0) ).
fof(fact_div__nonpos__pos__le0,axiom,
! [X11,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,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__nonpos__pos__le0) ).
fof(fact_le__add__diff,axiom,
! [X30,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,X30),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X30),X17))) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_add__lessD1) ).
fof(fact_add__leD1,axiom,
! [X29,X17,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X17)),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__leD1) ).
fof(fact_add__leD2,axiom,
! [X29,X17,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X17)),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X29)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_add__le__mono1) ).
fof(fact_real__add__left__mono,axiom,
! [X14,X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X14),X7)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X14),X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__add__left__mono) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
! [X46,X47,X51,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X51)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),X46)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X47)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X51),X46)) ),
file('/export/starexec/sandbox2/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,
! [X26,X15,X11,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X26)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X26)) ),
file('/export/starexec/sandbox2/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,
! [X46,X47,X51,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X51)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),X46)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X51),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),X46))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J) ).
fof(fact_zero__less__zpower__abs__iff,axiom,
! [X27,X10] :
( 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,X10)),X27)))
<=> ( X10 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__zpower__abs__iff) ).
fof(fact_Re_Obounded,axiom,
? [X37] :
! [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)),X37))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re_Obounded) ).
fof(fact_Re_Ononneg__bounded,axiom,
? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [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)),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re_Ononneg__bounded) ).
fof(fact_Re_Opos__bounded,axiom,
? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [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)),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re_Opos__bounded) ).
fof(fact_Im_Obounded,axiom,
? [X37] :
! [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)),X37))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im_Obounded) ).
fof(fact_Im_Ononneg__bounded,axiom,
? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [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)),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im_Ononneg__bounded) ).
fof(fact_Im_Opos__bounded,axiom,
? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [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)),X37))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im_Opos__bounded) ).
fof(fact_nat__diff__split,axiom,
! [X22,X6,X35] :
( hBOOL(hAPP(X35,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X6,X22)))
<=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X6),X22))
=> hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
& ! [X87] :
( X6 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X22),X87)
=> hBOOL(hAPP(X35,X87)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__diff__split) ).
fof(fact_zero__le__mult__iff,axiom,
! [X22,X6,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X22)))
<=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X6))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X22)) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),c_Groups_Ozero__class_Ozero(X5)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X22),c_Groups_Ozero__class_Ozero(X5))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__mult__iff) ).
fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
! [X22,X6] :
( 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)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X6,X22)))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X22),X6))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X22)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonneg1__imp__zdiv__pos__iff) ).
fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
! [X6,X22] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X22))
=> ( 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,X6,X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__imp__zdiv__nonneg__iff) ).
fof(fact_pos__imp__zdiv__pos__iff,axiom,
! [X83,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,X83,X33)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X33),X83)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__imp__zdiv__pos__iff) ).
fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
! [X6,X22] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X22),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,X6,X22)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X6),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_neg__imp__zdiv__nonneg__iff) ).
fof(fact_less__1__mult,axiom,
! [X29,X30,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X30))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X30),X29))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__1__mult) ).
fof(fact_mult__pos__pos,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__semiring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__pos__pos) ).
fof(fact_add__pos__pos,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__pos__pos) ).
fof(fact_add__nonneg__pos,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__nonneg__pos) ).
fof(fact_add__pos__nonneg,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__pos__nonneg) ).
fof(fact_split__mult__pos__le,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__ring(X5)
=> ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11)) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5))) ) )
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_split__mult__pos__le) ).
fof(fact_mult__nonneg__nonneg,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__cancel__semiring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__nonneg__nonneg) ).
fof(fact_add__nonneg__nonneg,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__nonneg__nonneg) ).
fof(fact_power__eq__imp__eq__base,axiom,
! [X11,X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> X4 = X11 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__eq__imp__eq__base) ).
fof(fact_power__diff,axiom,
! [X30,X29,X4,X5] :
( class_Fields_Ofield(X5)
=> ( X4 != c_Groups_Ozero__class_Ozero(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30))
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X30)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__diff) ).
fof(fact_Deriv_Oadd__diff__add,axiom,
! [X26,X11,X15,X4,X5] :
( class_Groups_Oab__group__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X26)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Ominus__class_Ominus(X5,X4,X11)),c_Groups_Ominus__class_Ominus(X5,X15,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Deriv_Oadd__diff__add) ).
fof(fact_nonzero__power__divide,axiom,
! [X29,X4,X11,X5] :
( class_Fields_Ofield(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X11)),X29) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonzero__power__divide) ).
fof(fact_mult__eq__if,axiom,
! [X29,X30] :
( ( X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X30 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__eq__if) ).
fof(fact_one__less__power,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> ( 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(X5,c_Groups_Oone__class_Oone(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__less__power) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
! [X11,X30,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X30)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X30)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
fof(fact_divide_Oadd,axiom,
! [X55,X12,X7,X5] :
( class_RealVector_Oreal__normed__field(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X12)),X55) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X7),X55)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X12),X55)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide_Oadd) ).
fof(fact_add__divide__distrib,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Odivision__ring(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X15)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__divide__distrib) ).
fof(fact_power__divide,axiom,
! [X29,X11,X4,X5] :
( class_Fields_Ofield__inverse__zero(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X11)),X29) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__divide) ).
fof(fact_power__mult__distrib,axiom,
! [X29,X11,X4,X5] :
( class_Groups_Ocomm__monoid__mult(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X11),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__mult__distrib) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
! [X49,X12,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12)),X49) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X49)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X12),X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(fact_comm__semiring__class_Odistrib,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Ocomm__semiring(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__class_Odistrib) ).
fof(fact_mult_Oadd__left,axiom,
! [X11,X56,X4,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X56)),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X56),X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Oadd__left) ).
fof(fact_mult__left_Oadd,axiom,
! [X55,X12,X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X12)),X55) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X55)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X55)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Oadd) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J) ).
fof(fact_le__cube,axiom,
! [X30] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__cube) ).
fof(fact_mult__neg__neg,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__neg__neg) ).
fof(fact_mult__nonpos__nonpos,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__ring(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__nonpos__nonpos) ).
fof(fact_less__imp__diff__less,axiom,
! [X29,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,X29)),X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__imp__diff__less) ).
fof(fact_complex__Re__mult,axiom,
! [X12,X7] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X7),X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X7)),hAPP(c_Complex_ORe,X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X7)),hAPP(c_Complex_OIm,X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__Re__mult) ).
fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
! [X6,X5] :
( class_Groups_Olinordered__ab__group__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X6)) ) ),
file('/export/starexec/sandbox2/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,
! [X6,X5] :
( class_Groups_Olinordered__ab__group__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__double__add__iff__zero__le__single__add) ).
fof(fact_add__gr__0,axiom,
! [X27,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),X27)))
<=> ( 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)),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__gr__0) ).
fof(fact_real__0__le__divide__iff,axiom,
! [X9,X10] :
( 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),X10),X9)))
<=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),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)),X9)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__0__le__divide__iff) ).
fof(fact_pos__add__strict,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__add__strict) ).
fof(fact_add__strict__increasing2,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__increasing2) ).
fof(fact_add__strict__increasing,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__increasing) ).
fof(fact_add__increasing,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X15))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__increasing) ).
fof(fact_add__increasing2,axiom,
! [X4,X11,X15,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X15))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__increasing2) ).
fof(fact_abs__eq__mult,axiom,
! [X11,X4,X5] :
( class_Rings_Oordered__ring__abs(X5)
=> ( ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Ozero__class_Ozero(X5))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X11))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),c_Groups_Ozero__class_Ozero(X5))) ) )
=> c_Groups_Oabs__class_Oabs(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__eq__mult) ).
fof(fact_real__natfloor__gt__diff__one,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natfloor__gt__diff__one) ).
fof(fact_sum__squares__eq__zero__iff,axiom,
! [X9,X10,X5] :
( class_Rings_Olinordered__ring__strict(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X9),X9)) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X10 = c_Groups_Ozero__class_Ozero(X5)
& X9 = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sum__squares__eq__zero__iff) ).
fof(fact_zless__imp__add1__zle,axiom,
! [X14,X16] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X16),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X16),c_Groups_Oone__class_Oone(tc_Int_Oint))),X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zless__imp__add1__zle) ).
fof(fact_self__quotient__aux2,axiom,
! [X49,X23,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
=> ( X4 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X23),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X49))
=> ( 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,X49),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_self__quotient__aux2) ).
fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X12))
=> 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,X7,X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Divides_Otransfer__nat__int__function__closures_I1_J) ).
fof(fact_real__squared__diff__one__factored,axiom,
! [X7,X5] :
( class_Rings_Oring__1(X5)
=> c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7),c_Groups_Oone__class_Oone(X5)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),c_Groups_Oone__class_Oone(X5))),c_Groups_Ominus__class_Ominus(X5,X7,c_Groups_Oone__class_Oone(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__squared__diff__one__factored) ).
fof(fact_self__quotient__aux1,axiom,
! [X49,X23,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
=> ( X4 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X23),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X49))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X23),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X49)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_self__quotient__aux1) ).
fof(fact_Nat_Odiff__diff__eq,axiom,
! [X29,X30,X17] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X30))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X29))
=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X17),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat_Odiff__diff__eq) ).
fof(fact_real__natfloor__add__one__gt,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X7))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natfloor__add__one__gt) ).
fof(fact_nat__0__less__mult__iff,axiom,
! [X27,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),X27)))
<=> ( 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)),X27)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__0__less__mult__iff) ).
fof(fact_real__mult__order,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X12))
=> 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),X7),X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__order) ).
fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X12))
=> 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),X7),X12))) ) ),
file('/export/starexec/sandbox2/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,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X12))
=> 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),X7),X12))) ) ),
file('/export/starexec/sandbox2/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,
! [X30,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X30)),X30) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),c_Groups_Oone__class_Oone(X5))),X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
fof(fact_zadd__zmult__distrib,axiom,
! [X16,X60,X61] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X61),X60)),X16) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X61),X16)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X60),X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__zmult__distrib) ).
fof(fact_add__mult__distrib,axiom,
! [X17,X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)),X17) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X17)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__mult__distrib) ).
fof(fact_real__add__mult__distrib,axiom,
! [X16,X60,X61] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X61),X60)),X16) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X61),X16)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X60),X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__add__mult__distrib) ).
fof(fact_zero__less__diff,axiom,
! [X31,X27] :
( 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,X27,X31)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__diff) ).
fof(fact_zle__diff1__eq,axiom,
! [X53,X54] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X54),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X53,c_Groups_Oone__class_Oone(tc_Int_Oint))))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X54),X53)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zle__diff1__eq) ).
fof(fact_le__funD,axiom,
! [X10,X1,X2,X5,X13] :
( class_Orderings_Oord(X13)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X2),X1))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,hAPP(X2,X10)),hAPP(X1,X10))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__funD) ).
fof(fact_le__funE,axiom,
! [X10,X1,X2,X5,X13] :
( class_Orderings_Oord(X13)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X2),X1))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X13,hAPP(X2,X10)),hAPP(X1,X10))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__funE) ).
fof(fact_div__mult__self2,axiom,
! [X15,X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),c_Divides_Odiv__class_Odiv(X5,X4,X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__self2) ).
fof(fact_div__mult__self1,axiom,
! [X15,X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),c_Divides_Odiv__class_Odiv(X5,X4,X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__self1) ).
fof(fact_divide_Odiff,axiom,
! [X55,X12,X7,X5] :
( class_RealVector_Oreal__normed__field(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ominus__class_Ominus(X5,X7,X12)),X55) = c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X7),X55),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X12),X55)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide_Odiff) ).
fof(fact_diff__divide__distrib,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Odivision__ring(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ominus__class_Ominus(X5,X4,X11)),X15) = c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X15),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__divide__distrib) ).
fof(fact_mult__left_Odiff,axiom,
! [X55,X12,X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X7,X12)),X55) = c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X55),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X55)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Odiff) ).
fof(fact_mult_Odiff__left,axiom,
! [X11,X56,X4,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X4,X56)),X11) = c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X56),X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Odiff__left) ).
fof(fact_ln__less__cancel__iff,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X9))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X10)),c_Transcendental_Oln(X9)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__less__cancel__iff) ).
fof(fact_ln__le__cancel__iff,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X9))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X10)),c_Transcendental_Oln(X9)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__le__cancel__iff) ).
fof(fact_zero__le__power__abs,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Oabs__class_Oabs(X5,X4)),X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__power__abs) ).
fof(fact_mult_Oadd__right,axiom,
! [X58,X11,X4,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X58)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X58)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Oadd__right) ).
fof(fact_mult__right_Oadd,axiom,
! [X12,X7,X57,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X7),X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Oadd) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
! [X14,X12,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X12),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X14)) ),
file('/export/starexec/sandbox2/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,
! [X47,X51,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X51)),X47) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X47)),X51) ),
file('/export/starexec/sandbox2/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,
! [X15,X11,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),X11) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_add__diff__assoc2) ).
fof(fact_complex__add__def,axiom,
! [X12,X7] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X7),X12) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X7)),hAPP(c_Complex_ORe,X12)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X7)),hAPP(c_Complex_OIm,X12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__add__def) ).
fof(fact_zero__less__power__nat__eq,axiom,
! [X27,X10] :
( 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),X10),X27)))
<=> ( X27 = 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)),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__power__nat__eq) ).
fof(fact_nat__zero__less__power__iff,axiom,
! [X27,X10] :
( 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),X10),X27)))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X10))
| X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__zero__less__power__iff) ).
fof(fact_Bseq__mono__convergent,axiom,
! [X25] :
( c_SEQ_OBseq(tc_RealDef_Oreal,X25)
=> ( ! [X20,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X20),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X25,X20)),hAPP(X25,X8))) )
=> c_SEQ_Oconvergent(tc_RealDef_Oreal,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__mono__convergent) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
! [X49,X50,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X50)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X49)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X50),X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
fof(fact_power__add,axiom,
! [X29,X30,X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X30)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__add) ).
fof(fact_realpow__pos__nth__unique,axiom,
! [X4,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_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
=> ? [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),X29) = X4
& ! [X73] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X73))
& hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X73),X29) = X4 )
=> X73 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__pos__nth__unique) ).
fof(fact_real__two__squares__add__zero__iff,axiom,
! [X9,X10] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X10)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X9)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
<=> ( X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
& X9 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__two__squares__add__zero__iff) ).
fof(fact_add__scale__eq__noteq,axiom,
! [X26,X15,X11,X4,X23,X5] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
=> ( X23 != c_Groups_Ozero__class_Ozero(X5)
=> ( ( X4 = X11
& X15 != X26 )
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X23),X15)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X23),X26)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__scale__eq__noteq) ).
fof(fact_zless__add1__eq,axiom,
! [X53,X54] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X54),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X53),c_Groups_Oone__class_Oone(tc_Int_Oint))))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X54),X53))
| X54 = X53 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zless__add1__eq) ).
fof(fact_zle__add1__eq__le,axiom,
! [X53,X54] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X54),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X53),c_Groups_Oone__class_Oone(tc_Int_Oint))))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X54),X53)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zle__add1__eq__le) ).
fof(fact_le__natfloor__eq,axiom,
! [X6,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X6),c_RComplete_Onatfloor(X10)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X6)),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__natfloor__eq) ).
fof(fact_div__le__dividend,axiom,
! [X29,X30] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29)),X30)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__le__dividend) ).
fof(fact_diff__le__self,axiom,
! [X29,X30] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)),X30)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__le__self) ).
fof(fact_zdiff__zmult__distrib,axiom,
! [X16,X60,X61] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X61,X60)),X16) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X61),X16),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X60),X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiff__zmult__distrib) ).
fof(fact_diff__mult__distrib,axiom,
! [X17,X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)),X17) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__mult__distrib) ).
fof(fact_zero__less__power,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__power) ).
fof(fact_one__le__power,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__le__power) ).
fof(fact_zero__le__power,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__power) ).
fof(fact_subseq__def,axiom,
! [X2] :
( c_SEQ_Osubseq(X2)
<=> ! [X20,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X20),X8))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X2,X20)),hAPP(X2,X8))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_subseq__def) ).
fof(fact_power__one__over,axiom,
! [X29,X4,X5] :
( class_Fields_Ofield__inverse__zero(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Oone__class_Oone(X5)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Oone__class_Oone(X5)),X4)),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__one__over) ).
fof(fact_natfloor__div__nat,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X12))
=> c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X7),c_RealDef_Oreal(tc_Nat_Onat,X12))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X7),X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__div__nat) ).
fof(fact_natfloor__subtract,axiom,
! [X7,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4)),X7))
=> c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,c_RealDef_Oreal(tc_Nat_Onat,X4))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X7),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__subtract) ).
fof(fact_natceiling__subtract,axiom,
! [X7,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4)),X7))
=> c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,c_RealDef_Oreal(tc_Nat_Onat,X4))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X7),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__subtract) ).
fof(fact_BseqD,axiom,
! [X25,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_SEQ_OBseq(X5,X25)
=> ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,hAPP(X25,X8))),X37)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_BseqD) ).
fof(fact_zpower__zadd__distrib,axiom,
! [X14,X12,X7] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),X14)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X7),X12)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X7),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zpower__zadd__distrib) ).
fof(fact_zadd__zmult__distrib2,axiom,
! [X60,X61,X16] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X61),X60)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),X61)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__zmult__distrib2) ).
fof(fact_add__mult__distrib2,axiom,
! [X29,X30,X17] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X30)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__mult__distrib2) ).
fof(fact_zero__le__zpower__abs,axiom,
! [X29,X7] : 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,X7)),X29))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__zpower__abs) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
! [X4,X30,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X30)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),c_Groups_Oone__class_Oone(X5))),X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J) ).
fof(fact_div__add__self1,axiom,
! [X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X4),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Divides_Odiv__class_Odiv(X5,X4,X11)),c_Groups_Oone__class_Oone(X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__add__self1) ).
fof(fact_div__add__self2,axiom,
! [X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Divides_Odiv__class_Odiv(X5,X4,X11)),c_Groups_Oone__class_Oone(X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__add__self2) ).
fof(fact_zdiv__zmult2__eq,axiom,
! [X11,X4,X15] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X15))
=> c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X11),X15)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__zmult2__eq) ).
fof(fact_ln__div,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X12))
=> c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X7),X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X7),c_Transcendental_Oln(X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__div) ).
fof(fact_realpow__num__eq__if,axiom,
! [X30,X29,X5] :
( class_Power_Opower(X5)
=> ( ( X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X30),X29) = c_Groups_Oone__class_Oone(X5) )
& ( X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X30),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X30),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X30),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__num__eq__if) ).
fof(fact_add__nonneg__eq__0__iff,axiom,
! [X9,X10,X5] :
( class_Groups_Oordered__comm__monoid__add(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X9))
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X10),X9) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X10 = c_Groups_Ozero__class_Ozero(X5)
& X9 = c_Groups_Ozero__class_Ozero(X5) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__nonneg__eq__0__iff) ).
fof(fact_ln__mult,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X12))
=> c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X7)),c_Transcendental_Oln(X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__mult) ).
fof(fact_le__imp__0__less,axiom,
! [X14] :
( 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(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)),X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__imp__0__less) ).
fof(fact_less__natfloor,axiom,
! [X29,X7] :
( 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(tc_RealDef_Oreal,X7),c_RealDef_Oreal(tc_Nat_Onat,X29)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X7)),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__natfloor) ).
fof(fact_natceiling__le__eq,axiom,
! [X6,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X10)),X6))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),c_RealDef_Oreal(tc_Nat_Onat,X6))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__le__eq) ).
fof(fact_mult__right_Odiff,axiom,
! [X12,X7,X57,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),c_Groups_Ominus__class_Ominus(X5,X7,X12)) = c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Odiff) ).
fof(fact_mult_Odiff__right,axiom,
! [X58,X11,X4,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Ominus__class_Ominus(X5,X11,X58)) = c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X58)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Odiff__right) ).
fof(fact_nat__mult__div__cancel1,axiom,
! [X29,X30,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),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_diff__diff__right) ).
fof(fact_realpow__pos__nth,axiom,
! [X4,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_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4))
=> ? [X74] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X74))
& hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X74),X29) = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_realpow__pos__nth) ).
fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(X7,X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J) ).
fof(fact_power__commutes,axiom,
! [X29,X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)),X4) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__commutes) ).
fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oab__semigroup__mult(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ab__semigroup__mult__class_Omult__ac_I1_J) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
! [X47,X51,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X51)),X47) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X51),X47)) ),
file('/export/starexec/sandbox2/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,
! [X15,X11,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Oab__semigroup__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11)),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ab__semigroup__add__class_Oadd__ac_I1_J) ).
fof(fact_times__divide__eq__right,axiom,
! [X15,X11,X4,X5] :
( class_Rings_Odivision__ring(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X11),X15)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_times__divide__eq__right) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
! [X46,X47,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),X46)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X47)),X46) ),
file('/export/starexec/sandbox2/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,
! [X26,X15,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X26)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)),X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J) ).
fof(fact_sgn__less,axiom,
! [X6,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Osgn__class_Osgn(X5,X6)),c_Groups_Ozero__class_Ozero(X5)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),c_Groups_Ozero__class_Ozero(X5))) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_add__diff__assoc) ).
fof(fact_real__of__nat__less__iff,axiom,
! [X31,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X27)),c_RealDef_Oreal(tc_Nat_Onat,X31)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__less__iff) ).
fof(fact_real__of__nat__le__iff,axiom,
! [X31,X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X27)),c_RealDef_Oreal(tc_Nat_Onat,X31)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X27),X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__le__iff) ).
fof(fact_abs__add__abs,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> c_Groups_Oabs__class_Oabs(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__add__abs) ).
fof(fact_eq__diff__iff,axiom,
! [X27,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),X27))
=> ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X31,X33) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X27,X33)
<=> X31 = X27 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__diff__iff) ).
fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
! [X29,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X7))
=> 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),X7),X29))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) ).
fof(fact_power__mult,axiom,
! [X29,X30,X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X30)),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__mult) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
! [X49,X50,X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X50)),X49) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X50),X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J) ).
fof(fact_power__eq__if,axiom,
! [X50,X30] :
( ( X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X50),X30) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
& ( X30 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X50),X30) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X50),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X50),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__eq__if) ).
fof(fact_odd__nonzero,axiom,
! [X14] : 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)),X14)),X14) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_odd__nonzero) ).
fof(fact_abs__Re__le__cmod,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X7))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__Re__le__cmod) ).
fof(fact_abs__Im__le__cmod,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X7))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__Im__le__cmod) ).
fof(fact_abs__mult__pos,axiom,
! [X12,X7,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X7))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oabs__class_Oabs(X5,X12)),X7) = c_Groups_Oabs__class_Oabs(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__mult__pos) ).
fof(fact_zero__less__two,axiom,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oone__class_Oone(X5)),c_Groups_Oone__class_Oone(X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__two) ).
fof(fact_diff__eq__diff__less,axiom,
! [X52,X21,X22,X6,X5] :
( class_Groups_Oordered__ab__group__add(X5)
=> ( c_Groups_Ominus__class_Ominus(X5,X6,X22) = c_Groups_Ominus__class_Ominus(X5,X21,X52)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X6),X22))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X21),X52)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__eq__diff__less) ).
fof(fact_diff__eq__diff__less__eq,axiom,
! [X52,X21,X22,X6,X5] :
( class_Groups_Oordered__ab__group__add(X5)
=> ( c_Groups_Ominus__class_Ominus(X5,X6,X22) = c_Groups_Ominus__class_Ominus(X5,X21,X52)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X6),X22))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X21),X52)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__eq__diff__less__eq) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
! [X30,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X30),X30) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Oone__class_Oone(X5)),c_Groups_Oone__class_Oone(X5))),X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
fof(fact_ln__less__zero__iff,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X10)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__less__zero__iff) ).
fof(fact_ln__gt__zero__iff,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X10)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__gt__zero__iff) ).
fof(fact_ln__gt__zero__imp__gt__one,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X7)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__gt__zero__imp__gt__one) ).
fof(fact_ln__ge__zero__iff,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X10)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__ge__zero__iff) ).
fof(fact_ln__ge__zero__imp__ge__one,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X7)))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__ge__zero__imp__ge__one) ).
fof(fact_abs__add__one__gt__zero,axiom,
! [X7] : 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,X7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).
fof(fact_DeMoivre2,axiom,
! [X29,X4,X23] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(X23,X4)),X29) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X23),X29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_DeMoivre2) ).
fof(fact_zdiff__zmult__distrib2,axiom,
! [X60,X61,X16] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X61,X60)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),X61),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),X60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiff__zmult__distrib2) ).
fof(fact_diff__mult__distrib2,axiom,
! [X29,X30,X17] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__mult__distrib2) ).
fof(fact_abs__le__D1,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oabs__class_Oabs(X5,X4)),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__le__D1) ).
fof(fact_termination__basic__simps_I1_J,axiom,
! [X14,X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_termination__basic__simps_I1_J) ).
fof(fact_trans__less__add1,axiom,
! [X30,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),X30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__less__add1) ).
fof(fact_termination__basic__simps_I2_J,axiom,
! [X12,X14,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_termination__basic__simps_I2_J) ).
fof(fact_trans__less__add2,axiom,
! [X30,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),X30),X18))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__less__add2) ).
fof(fact_termination__basic__simps_I3_J,axiom,
! [X14,X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_termination__basic__simps_I3_J) ).
fof(fact_trans__le__add1,axiom,
! [X30,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),X30))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__le__add1) ).
fof(fact_termination__basic__simps_I4_J,axiom,
! [X12,X14,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),X14))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_termination__basic__simps_I4_J) ).
fof(fact_trans__le__add2,axiom,
! [X30,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),X30),X18))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_trans__le__add2) ).
fof(fact_ln__less__zero,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X7),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X7)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__less__zero) ).
fof(fact_le__add__diff__inverse2,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30))
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)),X29) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add__diff__inverse2) ).
fof(fact_sgn__greater,axiom,
! [X6,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),c_Groups_Osgn__class_Osgn(X5,X6)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__greater) ).
fof(fact_real__divide__square__eq,axiom,
! [X4,X23] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X23)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X4),X23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__divide__square__eq) ).
fof(fact_zpower__zpower,axiom,
! [X14,X12,X7] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X7),X12)),X14) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zpower__zpower) ).
fof(fact_zmult__assoc,axiom,
! [X63,X60,X61] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X61),X60)),X63) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X61),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X60),X63)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__assoc) ).
fof(fact_nat__mult__assoc,axiom,
! [X17,X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29)),X17) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__assoc) ).
fof(fact_real__mult__assoc,axiom,
! [X63,X60,X61] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X61),X60)),X63) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X61),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X60),X63)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__assoc) ).
fof(fact_zadd__assoc,axiom,
! [X63,X60,X61] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X61),X60)),X63) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X61),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X60),X63)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__assoc) ).
fof(fact_nat__add__assoc,axiom,
! [X17,X29,X30] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)),X17) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__assoc) ).
fof(fact_real__natfloor__le,axiom,
! [X7] :
( 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_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X7))),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natfloor__le) ).
fof(fact_le__natfloor,axiom,
! [X4,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X7)),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),c_RComplete_Onatfloor(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__natfloor) ).
fof(fact_order__less__trans,axiom,
! [X14,X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X14)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__trans) ).
fof(fact_order__le__less__trans,axiom,
! [X14,X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X14)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__le__less__trans) ).
fof(fact_order__less__le__trans,axiom,
! [X14,X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X14)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__le__trans) ).
fof(fact_xt1_I10_J,axiom,
! [X14,X7,X12,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X14),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X14),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I10_J) ).
fof(fact_xt1_I8_J,axiom,
! [X14,X7,X12,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X14),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X14),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I8_J) ).
fof(fact_xt1_I7_J,axiom,
! [X14,X7,X12,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X14),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X14),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I7_J) ).
fof(fact_order__trans,axiom,
! [X14,X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X14))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X14)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__trans) ).
fof(fact_xt1_I6_J,axiom,
! [X14,X7,X12,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X14),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X14),X7)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I6_J) ).
fof(fact_assms,axiom,
! [X8] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X8))),v_r)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_assms) ).
fof(fact_power__inject__exp,axiom,
! [X27,X31,X6,X5] :
( class_Rings_Olinordered__semidom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),X6))
=> ( hAPP(hAPP(c_Power_Opower__class_Opower(X5),X6),X31) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),X6),X27)
<=> X31 = X27 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__inject__exp) ).
fof(fact_less__add__eq__less,axiom,
! [X29,X30,X34,X17] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X17),X34))
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X34) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X29)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__eq__less) ).
fof(fact_natfloor__add,axiom,
! [X4,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),c_RealDef_Oreal(tc_Nat_Onat,X4))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X7)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__add) ).
fof(fact_natceiling__add,axiom,
! [X4,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),c_RealDef_Oreal(tc_Nat_Onat,X4))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X7)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__add) ).
fof(fact_real__of__nat__diff,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30))
=> c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X30),c_RealDef_Oreal(tc_Nat_Onat,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__diff) ).
fof(fact_ln__realpow,axiom,
! [X29,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X7),X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X29)),c_Transcendental_Oln(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__realpow) ).
fof(fact_complex__diff,axiom,
! [X26,X15,X11,X4] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X4,X11),c_Complex_Ocomplex_OComplex(X15,X26)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X4,X15),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X11,X26)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__diff) ).
fof(fact_div__mult__mult1__if,axiom,
! [X11,X4,X15,X5] :
( class_Divides_Osemiring__div(X5)
=> ( ( X15 = c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)) = c_Groups_Ozero__class_Ozero(X5) )
& ( X15 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)) = c_Divides_Odiv__class_Odiv(X5,X4,X11) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__mult1__if) ).
fof(fact_div__mult__mult1,axiom,
! [X11,X4,X15,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X15 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X11)) = c_Divides_Odiv__class_Odiv(X5,X4,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__mult1) ).
fof(fact_div__mult__mult2,axiom,
! [X11,X4,X15,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X15 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X15)) = c_Divides_Odiv__class_Odiv(X5,X4,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__mult2) ).
fof(fact_abs__le__zero__iff,axiom,
! [X6,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oabs__class_Oabs(X5,X6)),c_Groups_Ozero__class_Ozero(X5)))
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__le__zero__iff) ).
fof(fact_zero__le__square,axiom,
! [X4,X5] :
( class_Rings_Olinordered__ring(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__square) ).
fof(fact_less__add__one,axiom,
! [X4,X5] :
( class_Rings_Olinordered__semidom(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),c_Groups_Oone__class_Oone(X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__one) ).
fof(fact_rcis__mult,axiom,
! [X11,X75,X4,X76] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X76,X4)),c_Complex_Orcis(X75,X11)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X76),X75),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4),X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rcis__mult) ).
fof(fact_complex__add,axiom,
! [X26,X15,X11,X4] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X4,X11)),c_Complex_Ocomplex_OComplex(X15,X26)) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4),X15),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X11),X26)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__add) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
! [X46,X47,X48,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),X46)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X47),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X48),X46)) ),
file('/export/starexec/sandbox2/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,
! [X26,X15,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X26)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X26)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(fact_zdiv__eq__0__iff,axiom,
! [X33,X83] :
( c_Divides_Odiv__class_Odiv(tc_Int_Oint,X83,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)),X83))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X83),X33)) )
| ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X83),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X83)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__eq__0__iff) ).
fof(fact_div__pos__pos__trivial,axiom,
! [X11,X4] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4),X11))
=> c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__pos__pos__trivial) ).
fof(fact_Bseq__realpow,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
=> c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Bseq__realpow) ).
fof(fact_convergent__realpow,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
=> c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_convergent__realpow) ).
fof(fact_monoseq__realpow,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
=> c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X10)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_diff__commute) ).
fof(fact_div__neg__neg__trivial,axiom,
! [X11,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,X11),X4))
=> c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X11) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__neg__neg__trivial) ).
fof(fact_norm__le__zero__iff,axiom,
! [X10,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X10)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
<=> X10 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__le__zero__iff) ).
fof(fact_natfloor__add__one,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X7)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__add__one) ).
fof(fact_natceiling__add__one,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X7),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X7)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__add__one) ).
fof(fact_div__mult2__eq,axiom,
! [X15,X11,X4] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X11),X15)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X4,X11),X15),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_diff__diff__left) ).
fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,
! [X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X27)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__gt__zero__cancel__iff) ).
fof(fact_ln__inj__iff,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X9))
=> ( c_Transcendental_Oln(X10) = c_Transcendental_Oln(X9)
<=> X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__inj__iff) ).
fof(fact_natceiling__le,axiom,
! [X4,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),c_RealDef_Oreal(tc_Nat_Onat,X4)))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X7)),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__le) ).
fof(fact_nat__mult__div__cancel__disj,axiom,
! [X29,X30,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),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29)) = 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),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X29)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__div__cancel__disj) ).
fof(fact_nat__mult__eq__cancel1,axiom,
! [X27,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),X27)
<=> X31 = X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__eq__cancel1) ).
fof(fact_diff__cancel,axiom,
! [X29,X30,X17] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X30),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X17),X29)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__cancel) ).
fof(fact_diff__cancel2,axiom,
! [X29,X17,X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X17),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X17)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__cancel2) ).
fof(fact_div__mult__self1__is__m,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X30),X29) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__self1__is__m) ).
fof(fact_div__mult__self__is__m,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29),X29) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__self__is__m) ).
fof(fact_diff__diff__cancel,axiom,
! [X29,X19] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X19),X29))
=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X19)) = X19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__diff__cancel) ).
fof(fact_zabs__less__one__iff,axiom,
! [X53] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X53)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
<=> X53 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zabs__less__one__iff) ).
fof(fact_real__of__nat__le__zero__cancel__iff,axiom,
! [X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X27)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
<=> X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__le__zero__cancel__iff) ).
fof(fact_diff__add__cancel,axiom,
! [X11,X4,X5] :
( class_Groups_Ogroup__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Ominus__class_Ominus(X5,X4,X11)),X11) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__cancel) ).
fof(fact_zadd__left__commute,axiom,
! [X14,X12,X7] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X12),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X12),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X7),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__left__commute) ).
fof(fact_nat__add__left__commute,axiom,
! [X14,X12,X7] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X7),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),X14)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X12),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X7),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__left__commute) ).
fof(fact_le__add__diff__inverse,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30))
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add__diff__inverse) ).
fof(fact_order__eq__iff,axiom,
! [X9,X10,X5] :
( class_Orderings_Oorder(X5)
=> ( X10 = X9
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X9),X10)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__eq__iff) ).
fof(fact_order__antisym__conv,axiom,
! [X10,X9,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X9),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
<=> X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__antisym__conv) ).
fof(fact_order__antisym,axiom,
! [X12,X7,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> X7 = X12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__antisym) ).
fof(fact_xt1_I5_J,axiom,
! [X7,X12,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> X7 = X12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I5_J) ).
fof(fact_zero__less__abs__iff,axiom,
! [X6,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),c_Groups_Oabs__class_Oabs(X5,X6)))
<=> X6 != c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__abs__iff) ).
fof(fact_power_Opower_Opower__0,axiom,
! [X6,X69,X70,X5] : hAPP(hAPP(c_Power_Opower_Opower(X5,X70,X69),X6),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X70,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power_Opower_Opower__0) ).
fof(fact_le__square,axiom,
! [X30] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X30))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__square) ).
fof(fact_le__add1,axiom,
! [X30,X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X30))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add1) ).
fof(fact_le__add2,axiom,
! [X30,X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__add2) ).
fof(fact_norm__divide,axiom,
! [X11,X4,X5] :
( ( class_Fields_Ofield__inverse__zero(X5)
& class_RealVector_Oreal__normed__field(X5) )
=> c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X11)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4)),c_RealVector_Onorm__class_Onorm(X5,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__divide) ).
fof(fact_sgn__mult,axiom,
! [X12,X7,X5] :
( class_RealVector_Oreal__normed__div__algebra(X5)
=> c_Groups_Osgn__class_Osgn(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Osgn__class_Osgn(X5,X7)),c_Groups_Osgn__class_Osgn(X5,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__mult) ).
fof(fact_sgn__times,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> c_Groups_Osgn__class_Osgn(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Osgn__class_Osgn(X5,X4)),c_Groups_Osgn__class_Osgn(X5,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__times) ).
fof(fact_abs__mult,axiom,
! [X11,X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> c_Groups_Oabs__class_Oabs(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__mult) ).
fof(fact_nonzero__norm__divide,axiom,
! [X4,X11,X5] :
( class_RealVector_Oreal__normed__field(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X11)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4)),c_RealVector_Onorm__class_Onorm(X5,X11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonzero__norm__divide) ).
fof(fact_le__imp__diff__is__add,axiom,
! [X33,X84,X83] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X83),X84))
=> ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X84,X83) = X33
<=> X84 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X83) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__imp__diff__is__add) ).
fof(fact_natceiling__le__eq__one,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X10)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__le__eq__one) ).
fof(fact_norm__minus__commute,axiom,
! [X11,X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11)) = c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ominus__class_Ominus(X5,X11,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__minus__commute) ).
fof(fact_abs__minus__commute,axiom,
! [X11,X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11)) = c_Groups_Oabs__class_Oabs(X5,c_Groups_Ominus__class_Ominus(X5,X11,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__minus__commute) ).
fof(fact_norm__mult,axiom,
! [X12,X7,X5] :
( class_RealVector_Oreal__normed__div__algebra(X5)
=> c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X12)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X7)),c_RealVector_Onorm__class_Onorm(X5,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__mult) ).
fof(fact_le__natfloor__eq__one,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X10)))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__natfloor__eq__one) ).
fof(fact_zle__antisym,axiom,
! [X16,X14] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X16))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X16),X14))
=> X14 = X16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zle__antisym) ).
fof(fact_le__antisym,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30))
=> X30 = X29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__antisym) ).
fof(fact_real__le__antisym,axiom,
! [X16,X14] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X16))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X14))
=> X14 = X16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__antisym) ).
fof(fact_ln__gt__zero,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__gt__zero) ).
fof(fact_ln__ge__zero,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__ge__zero) ).
fof(fact_ln__less__self,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X7)),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__less__self) ).
fof(fact_nat__less__cases,axiom,
! [X35,X27,X31] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
=> hBOOL(hAPP(hAPP(X35,X27),X31)) )
=> ( ( X31 = X27
=> hBOOL(hAPP(hAPP(X35,X27),X31)) )
=> ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),X31))
=> hBOOL(hAPP(hAPP(X35,X27),X31)) )
=> hBOOL(hAPP(hAPP(X35,X27),X31)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__less__cases) ).
fof(fact_zero__less__norm__iff,axiom,
! [X10,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X5,X10)))
<=> X10 != c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).
fof(fact_natfloor__mono,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X7)),c_RComplete_Onatfloor(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__mono) ).
fof(fact_natceiling__mono,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X7)),c_RComplete_Onatceiling(X12))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__mono) ).
fof(fact_power__abs,axiom,
! [X29,X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> c_Groups_Oabs__class_Oabs(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Oabs__class_Oabs(X5,X4)),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__abs) ).
fof(fact_int__one__le__iff__zero__less,axiom,
! [X53] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X53))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X53)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_int__one__le__iff__zero__less) ).
fof(fact_norm__power,axiom,
! [X29,X7,X5] :
( class_RealVector_Oreal__normed__div__algebra(X5)
=> c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X7)),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__power) ).
fof(fact_order__less__le,axiom,
! [X9,X10,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
& X10 != X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__le) ).
fof(fact_order__le__less,axiom,
! [X9,X10,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
| X10 = X9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__le__less) ).
fof(fact_order__neq__le__trans,axiom,
! [X11,X4,X5] :
( class_Orderings_Oorder(X5)
=> ( X4 != X11
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__neq__le__trans) ).
fof(fact_order__le__imp__less__or__eq,axiom,
! [X12,X7,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
| X7 = X12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__le__imp__less__or__eq) ).
fof(fact_order__le__neq__trans,axiom,
! [X11,X4,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),X11))
=> ( X4 != X11
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__le__neq__trans) ).
fof(fact_xt1_I11_J,axiom,
! [X4,X11,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X4))
=> ( X4 != X11
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I11_J) ).
fof(fact_xt1_I12_J,axiom,
! [X11,X4,X5] :
( class_Orderings_Oorder(X5)
=> ( X4 != X11
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X11),X4))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I12_J) ).
fof(fact_pos__zmult__eq__1__iff,axiom,
! [X27,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),X27) = c_Groups_Oone__class_Oone(tc_Int_Oint)
<=> ( X31 = c_Groups_Oone__class_Oone(tc_Int_Oint)
& X27 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pos__zmult__eq__1__iff) ).
fof(fact_order__less__imp__le,axiom,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__imp__le) ).
fof(fact_real__of__nat__mult,axiom,
! [X29,X30] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X30)),c_RealDef_Oreal(tc_Nat_Onat,X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__mult) ).
fof(fact_real__of__nat__add,axiom,
! [X29,X30] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X30)),c_RealDef_Oreal(tc_Nat_Onat,X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__add) ).
fof(fact_Re_Oadd,axiom,
! [X12,X7] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X7),X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X7)),hAPP(c_Complex_ORe,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re_Oadd) ).
fof(fact_Im_Oadd,axiom,
! [X12,X7] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X7),X12)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X7)),hAPP(c_Complex_OIm,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im_Oadd) ).
fof(fact_Re_Odiff,axiom,
! [X12,X7] : hAPP(c_Complex_ORe,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X7,X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X7),hAPP(c_Complex_ORe,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re_Odiff) ).
fof(fact_Im_Odiff,axiom,
! [X12,X7] : hAPP(c_Complex_OIm,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X7,X12)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X7),hAPP(c_Complex_OIm,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im_Odiff) ).
fof(fact_complex__Re__le__cmod,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X7)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__Re__le__cmod) ).
fof(fact_zless__le,axiom,
! [X54,X53] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X53),X54))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X53),X54))
& X53 != X54 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zless__le) ).
fof(fact_nat__less__le,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
& X31 != X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__less__le) ).
fof(fact_le__eq__less__or__eq,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
| X31 = X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__eq__less__or__eq) ).
fof(fact_le__neq__implies__less,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> ( X30 != X29
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__neq__implies__less) ).
fof(fact_less__eq__real__def,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10),X9))
| X10 = X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(fact_real__less__def,axiom,
! [X9,X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
& X10 != X9 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(fact_termination__basic__simps_I5_J,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7),X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_termination__basic__simps_I5_J) ).
fof(fact_less__imp__le__nat,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__imp__le__nat) ).
fof(fact_less__or__eq__imp__le,axiom,
! [X29,X30] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
| X30 = X29 )
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__or__eq__imp__le) ).
fof(fact_power__real__of__nat,axiom,
! [X29,X30] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X30)),X29) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X30),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__real__of__nat) ).
fof(fact_real__of__nat__power,axiom,
! [X29,X30] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X30),X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X30)),X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__power) ).
fof(fact_sgn__1__pos,axiom,
! [X6,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( c_Groups_Osgn__class_Osgn(X5,X6) = c_Groups_Oone__class_Oone(X5)
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__1__pos) ).
fof(fact_sgn__pos,axiom,
! [X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> c_Groups_Osgn__class_Osgn(X5,X4) = c_Groups_Oone__class_Oone(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__pos) ).
fof(fact_le__Suc__ex__iff,axiom,
! [X39,X33] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X33),X39))
<=> ? [X8] : X39 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X33),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__Suc__ex__iff) ).
fof(fact_le__iff__add,axiom,
! [X27,X31] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
<=> ? [X32] : X27 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__iff__add) ).
fof(fact_abs__of__pos,axiom,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> c_Groups_Oabs__class_Oabs(X5,X4) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__of__pos) ).
fof(fact_abs__of__nonneg,axiom,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),X4))
=> c_Groups_Oabs__class_Oabs(X5,X4) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__of__nonneg) ).
fof(fact_abs__mult__self,axiom,
! [X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Oabs__class_Oabs(X5,X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__mult__self) ).
fof(fact_tsub__eq,axiom,
! [X7,X12] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X7))
=> c_Nat__Transfer_Otsub(X7,X12) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_tsub__eq) ).
fof(fact_diff__eq__diff__eq,axiom,
! [X52,X21,X22,X6,X5] :
( class_Groups_Oab__group__add(X5)
=> ( c_Groups_Ominus__class_Ominus(X5,X6,X22) = c_Groups_Ominus__class_Ominus(X5,X21,X52)
=> ( X6 = X22
<=> X21 = X52 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__eq__diff__eq) ).
fof(fact_natfloor__power,axiom,
! [X29,X7] :
( X7 = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X7))
=> c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X7),X29)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X7)),X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__power) ).
fof(fact_abs__zmult__eq__1,axiom,
! [X29,X30] :
( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X30),X29)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
=> c_Groups_Oabs__class_Oabs(tc_Int_Oint,X30) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__zmult__eq__1) ).
fof(fact_diffs0__imp__equal,axiom,
! [X29,X30] :
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,X30) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> X30 = X29 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diffs0__imp__equal) ).
fof(fact_div__less,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__less) ).
fof(fact_diff__is__0__eq,axiom,
! [X27,X31] :
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X31,X27) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__is__0__eq) ).
fof(fact_diff__is__0__eq_H,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__is__0__eq_H) ).
fof(fact_linorder__neq__iff,axiom,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( X10 != X9
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__neq__iff) ).
fof(fact_linorder__less__linear,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
| X7 = X12
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__less__linear) ).
fof(fact_add__right__imp__eq,axiom,
! [X15,X4,X11,X5] :
( class_Groups_Ocancel__semigroup__add(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X11),X4) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X4)
=> X11 = X15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__right__imp__eq) ).
fof(fact_add__right__cancel,axiom,
! [X21,X6,X22,X5] :
( class_Groups_Ocancel__semigroup__add(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X22),X6) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X21),X6)
<=> X22 = X21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__right__cancel) ).
fof(fact_add__imp__eq,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Ocancel__ab__semigroup__add(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)
=> X11 = X15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__imp__eq) ).
fof(fact_add__left__imp__eq,axiom,
! [X15,X11,X4,X5] :
( class_Groups_Ocancel__semigroup__add(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15)
=> X11 = X15 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__left__imp__eq) ).
fof(fact_add__left__cancel,axiom,
! [X21,X22,X6,X5] :
( class_Groups_Ocancel__semigroup__add(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X22) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X21)
<=> X22 = X21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__left__cancel) ).
fof(fact_linorder__le__less__linear,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__le__less__linear) ).
fof(fact_linorder__linear,axiom,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_linorder__linear) ).
fof(fact_div__mult__self1__is__id,axiom,
! [X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X4),X11) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__self1__is__id) ).
fof(fact_div__mult__self2__is__id,axiom,
! [X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11),X11) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__mult__self2__is__id) ).
fof(fact_abs__ge__zero,axiom,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),c_Groups_Oabs__class_Oabs(X5,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__ge__zero) ).
fof(fact_add__diff__cancel,axiom,
! [X11,X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X11),X11) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__diff__cancel) ).
fof(fact_expi__add,axiom,
! [X11,X4] : c_Complex_Oexpi(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X4),X11)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(X4)),c_Complex_Oexpi(X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_expi__add) ).
fof(fact_zless__linear,axiom,
! [X12,X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X7),X12))
| X7 = X12
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X12),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zless__linear) ).
fof(fact_nat__neq__iff,axiom,
! [X27,X31] :
( X31 != X27
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),X31)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__neq__iff) ).
fof(fact_real__sgn__pos,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X7))
=> c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X7) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sgn__pos) ).
fof(fact_ln__eq__zero__iff,axiom,
! [X10] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X10))
=> ( c_Transcendental_Oln(X10) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
<=> X10 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ln__eq__zero__iff) ).
fof(fact_zle__linear,axiom,
! [X16,X14] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X14),X16))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X16),X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zle__linear) ).
fof(fact_nat__le__linear,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__le__linear) ).
fof(fact_real__le__linear,axiom,
! [X16,X14] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X14),X16))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X14)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(fact_mult__cancel2,axiom,
! [X27,X33,X31] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X33) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X27),X33)
<=> ( X31 = X27
| X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__cancel2) ).
fof(fact_real__mult__right__cancel,axiom,
! [X22,X6,X21] :
( X21 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X6),X21) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X22),X21)
<=> X6 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__right__cancel) ).
fof(fact_nat__mult__eq__cancel__disj,axiom,
! [X27,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),X27)
<=> ( X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X31 = X27 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__eq__cancel__disj) ).
fof(fact_mult__cancel1,axiom,
! [X27,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),X27)
<=> ( X31 = X27
| X33 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__cancel1) ).
fof(fact_real__mult__left__cancel,axiom,
! [X22,X6,X21] :
( X21 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X21),X6) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X21),X22)
<=> X6 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__left__cancel) ).
fof(fact_Re__sgn,axiom,
! [X14] : hAPP(c_Complex_ORe,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X14)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X14)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re__sgn) ).
fof(fact_Im__sgn,axiom,
! [X14] : hAPP(c_Complex_OIm,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X14)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X14)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im__sgn) ).
fof(fact_divide__eq__imp,axiom,
! [X4,X11,X15,X5] :
( class_Rings_Odivision__ring(X5)
=> ( X15 != c_Groups_Ozero__class_Ozero(X5)
=> ( X11 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X11),X15) = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__eq__imp) ).
fof(fact_nonzero__divide__eq__eq,axiom,
! [X6,X22,X21,X5] :
( class_Rings_Odivision__ring(X5)
=> ( X21 != c_Groups_Ozero__class_Ozero(X5)
=> ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X22),X21) = X6
<=> X22 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonzero__divide__eq__eq) ).
fof(fact_nonzero__eq__divide__eq,axiom,
! [X22,X6,X21,X5] :
( class_Rings_Odivision__ring(X5)
=> ( X21 != c_Groups_Ozero__class_Ozero(X5)
=> ( X6 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X22),X21)
<=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X21) = X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nonzero__eq__divide__eq) ).
fof(fact_eq__divide__imp,axiom,
! [X11,X4,X15,X5] :
( class_Rings_Odivision__ring(X5)
=> ( X15 != c_Groups_Ozero__class_Ozero(X5)
=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X15) = X11
=> X4 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X11),X15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__divide__imp) ).
fof(fact_norm__ge__zero,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X5,X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__ge__zero) ).
fof(fact_nat__add__right__cancel,axiom,
! [X27,X33,X31] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X33) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X27),X33)
<=> X31 = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__right__cancel) ).
fof(fact_nat__add__left__cancel,axiom,
! [X27,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),X27)
<=> X31 = X27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__left__cancel) ).
fof(fact_real__natceiling__ge,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__natceiling__ge) ).
fof(fact_diff__add__0,axiom,
! [X30,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X29,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X30)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__0) ).
fof(fact_neq0__conv,axiom,
! [X27] :
( X27 != 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)),X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_neq0__conv) ).
fof(fact_diff__add__inverse,axiom,
! [X30,X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X30),X29) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__inverse) ).
fof(fact_diff__add__inverse2,axiom,
! [X29,X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29),X29) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__inverse2) ).
fof(fact_abs__ge__self,axiom,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X4),c_Groups_Oabs__class_Oabs(X5,X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__ge__self) ).
fof(fact_less__imp__neq,axiom,
! [X12,X7,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> X7 != X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__imp__neq) ).
fof(fact_order__less__imp__not__eq,axiom,
! [X12,X7,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> X7 != X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__imp__not__eq) ).
fof(fact_order__less__imp__not__eq2,axiom,
! [X12,X7,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> X12 != X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__imp__not__eq2) ).
fof(fact_mult__sgn__abs,axiom,
! [X7,X5] :
( class_Rings_Olinordered__idom(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Osgn__class_Osgn(X5,X7)),c_Groups_Oabs__class_Oabs(X5,X7)) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__sgn__abs) ).
fof(fact_natfloor__neg,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_RComplete_Onatfloor(X7) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__neg) ).
fof(fact_natceiling__neg,axiom,
! [X7] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
=> c_RComplete_Onatceiling(X7) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__neg) ).
fof(fact_seq__suble,axiom,
! [X27,X2] :
( c_SEQ_Osubseq(X2)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X27),hAPP(X2,X27))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_seq__suble) ).
fof(fact_real__of__nat__ge__zero,axiom,
! [X29] : 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,X29))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__ge__zero) ).
fof(fact_le__0__eq,axiom,
! [X27] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X27),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
<=> X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_ext) ).
fof(fact_zero__less__one,axiom,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5)),c_Groups_Oone__class_Oone(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__less__one) ).
fof(fact_zero__le__one,axiom,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5)),c_Groups_Oone__class_Oone(X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__one) ).
fof(fact_gr__implies__not0,axiom,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_gr__implies__not0) ).
fof(fact_convergent__const,axiom,
! [X21,X5] :
( class_RealVector_Ometric__space(X5)
=> c_SEQ_Oconvergent(X5,c_COMBK(X5,tc_Nat_Onat,X21)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__one) ).
fof(fact_power__eq__0__iff,axiom,
! [X27,X6,X5] :
( ( class_Power_Opower(X5)
& class_Rings_Omult__zero(X5)
& class_Rings_Ono__zero__divisors(X5)
& class_Rings_Ozero__neq__one(X5) )
=> ( hAPP(hAPP(c_Power_Opower__class_Opower(X5),X6),X27) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X6 = c_Groups_Ozero__class_Ozero(X5)
& X27 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__eq__0__iff) ).
fof(fact_less__not__refl2,axiom,
! [X30,X29] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X30))
=> X30 != X29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__not__refl2) ).
fof(fact_less__not__refl3,axiom,
! [X36,X24] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X24),X36))
=> X24 != X36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__not__refl3) ).
fof(help_c__COMBK__1,axiom,
! [X105,X106,X13,X5] : hAPP(c_COMBK(X5,X13,X106),X105) = X106,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact_complex_Osimps_I2_J,axiom,
! [X95,X96,X101,X5] : c_Complex_Ocomplex_Ocomplex__case(X5,X101,c_Complex_Ocomplex_OComplex(X96,X95)) = hAPP(hAPP(X101,X96),X95),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex_Osimps_I2_J) ).
fof(fact_complex_Orecs,axiom,
! [X95,X96,X101,X5] : c_Complex_Ocomplex_Ocomplex__rec(X5,X101,c_Complex_Ocomplex_OComplex(X96,X95)) = hAPP(hAPP(X101,X96),X95),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex_Orecs) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
! [X11,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X11),X4) ),
file('/export/starexec/sandbox2/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,
! [X15,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),X15) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X15),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_divisors__zero,axiom,
! [X11,X4,X5] :
( class_Rings_Ono__zero__divisors(X5)
=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11) = c_Groups_Ozero__class_Ozero(X5)
=> ( X4 = c_Groups_Ozero__class_Ozero(X5)
| X11 = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divisors__zero) ).
fof(fact_no__zero__divisors,axiom,
! [X11,X4,X5] :
( class_Rings_Ono__zero__divisors(X5)
=> ( X4 != c_Groups_Ozero__class_Ozero(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X11) != c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_no__zero__divisors) ).
fof(fact_mult__eq__0__iff,axiom,
! [X22,X6,X5] :
( class_Rings_Oring__no__zero__divisors(X5)
=> ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X6),X22) = c_Groups_Ozero__class_Ozero(X5)
<=> ( X6 = c_Groups_Ozero__class_Ozero(X5)
| X22 = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__eq__0__iff) ).
fof(fact_right__inverse__eq,axiom,
! [X6,X22,X5] :
( class_Rings_Odivision__ring(X5)
=> ( X22 != c_Groups_Ozero__class_Ozero(X5)
=> ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X6),X22) = c_Groups_Oone__class_Oone(X5)
<=> X6 = X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__inverse__eq) ).
fof(fact_eq__iff__diff__eq__0,axiom,
! [X22,X6,X5] :
( class_Groups_Oab__group__add(X5)
=> ( X6 = X22
<=> c_Groups_Ominus__class_Ominus(X5,X6,X22) = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__iff__diff__eq__0) ).
fof(fact_right__minus__eq,axiom,
! [X22,X6,X5] :
( class_Groups_Ogroup__add(X5)
=> ( c_Groups_Ominus__class_Ominus(X5,X6,X22) = c_Groups_Ozero__class_Ozero(X5)
<=> X6 = X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_right__minus__eq) ).
fof(fact_field__power__not__zero,axiom,
! [X29,X4,X5] :
( class_Rings_Oring__1__no__zero__divisors(X5)
=> ( X4 != c_Groups_Ozero__class_Ozero(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),X29) != c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_field__power__not__zero) ).
fof(fact_double__eq__0__iff,axiom,
! [X6,X5] :
( class_Groups_Olinordered__ab__group__add(X5)
=> ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6) = c_Groups_Ozero__class_Ozero(X5)
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__eq__0__iff) ).
fof(fact_double__zero__sym,axiom,
! [X6,X5] :
( class_Groups_Olinordered__ab__group__add(X5)
=> ( c_Groups_Ozero__class_Ozero(X5) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X6),X6)
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_double__zero__sym) ).
fof(fact_zero__le__natfloor,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__natfloor) ).
fof(fact_zero__le__natceiling,axiom,
! [X7] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X7))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__le__natceiling) ).
fof(fact_abs__sgn,axiom,
! [X17,X5] :
( class_Rings_Olinordered__idom(X5)
=> c_Groups_Oabs__class_Oabs(X5,X17) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Osgn__class_Osgn(X5,X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__sgn) ).
fof(fact_add__0__iff,axiom,
! [X6,X22,X5] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
=> ( X22 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X22),X6)
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0__iff) ).
fof(fact_order__eq__refl,axiom,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( X7 = X12
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__eq__refl) ).
fof(fact_gr0I,axiom,
! [X29] :
( X29 != 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)),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_gr0I) ).
fof(fact_zmult__commute,axiom,
! [X16,X14] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X14),X16) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X16),X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__commute) ).
fof(fact_nat__mult__commute,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__commute) ).
fof(fact_real__mult__commute,axiom,
! [X16,X14] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X14),X16) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X16),X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(fact_zadd__commute,axiom,
! [X16,X14] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X14),X16) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X16),X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__commute) ).
fof(fact_nat__add__commute,axiom,
! [X29,X30] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),X30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__commute) ).
fof(fact_order__refl,axiom,
! [X7,X5] :
( class_Orderings_Opreorder(X5)
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__refl) ).
fof(fact_power__0__left,axiom,
! [X29,X5] :
( ( class_Power_Opower(X5)
& class_Rings_Osemiring__0(X5) )
=> ( ( X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ozero__class_Ozero(X5)),X29) = c_Groups_Oone__class_Oone(X5) )
& ( X29 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ozero__class_Ozero(X5)),X29) = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__0__left) ).
fof(fact_less__eq__nat_Osimps_I1_J,axiom,
! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__eq__nat_Osimps_I1_J) ).
fof(fact_le0,axiom,
! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le0) ).
fof(fact_mult__is__0,axiom,
! [X27,X31] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X27) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
<=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__is__0) ).
fof(fact_mult__eq__self__implies__10,axiom,
! [X29,X30] :
( X30 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),X29)
=> ( X29 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
| X30 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__eq__self__implies__10) ).
fof(fact_real__sgn__eq,axiom,
! [X7] : c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X7) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X7),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X7)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__sgn__eq) ).
fof(fact_expand__complex__eq,axiom,
! [X9,X10] :
( X10 = X9
<=> ( hAPP(c_Complex_ORe,X10) = hAPP(c_Complex_ORe,X9)
& hAPP(c_Complex_OIm,X10) = hAPP(c_Complex_OIm,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_expand__complex__eq) ).
fof(fact_complex__equality,axiom,
! [X12,X7] :
( hAPP(c_Complex_ORe,X7) = hAPP(c_Complex_ORe,X12)
=> ( hAPP(c_Complex_OIm,X7) = hAPP(c_Complex_OIm,X12)
=> X7 = X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__equality) ).
fof(fact_nat__mult__eq__1__iff,axiom,
! [X27,X31] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X27) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
<=> ( X31 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
& X27 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__eq__1__iff) ).
fof(fact_add__is__0,axiom,
! [X27,X31] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X31),X27) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
<=> ( X31 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
& X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__is__0) ).
fof(fact_nat__1__eq__mult__iff,axiom,
! [X27,X31] :
( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X31),X27)
<=> ( X31 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
& X27 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__1__eq__mult__iff) ).
fof(fact_eq__imp__le,axiom,
! [X29,X30] :
( X30 = X29
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_eq__imp__le) ).
fof(fact_power__power__power,axiom,
! [X5] :
( class_Power_Opower(X5)
=> c_Power_Opower__class_Opower(X5) = c_Power_Opower_Opower(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Otimes__class_Otimes(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__power__power) ).
fof(fact_add__eq__self__zero,axiom,
! [X29,X30] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X29) = X30
=> X29 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__eq__self__zero) ).
fof(fact_zle__refl,axiom,
! [X16] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X16),X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zle__refl) ).
fof(fact_le__refl,axiom,
! [X29] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X29),X29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_le__refl) ).
fof(fact_real__le__refl,axiom,
! [X16] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X16),X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(fact_divide_Ozero,axiom,
! [X12,X5] :
( class_RealVector_Oreal__normed__field(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ozero__class_Ozero(X5)),X12) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide_Ozero) ).
fof(fact_divide__zero__left,axiom,
! [X4,X5] :
( class_Rings_Odivision__ring(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),c_Groups_Ozero__class_Ozero(X5)),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__zero__left) ).
fof(fact_power__one,axiom,
! [X29,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Oone__class_Oone(X5)),X29) = c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__one) ).
fof(fact_mult__zero__left,axiom,
! [X4,X5] :
( class_Rings_Omult__zero(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__zero__left) ).
fof(fact_mult__left_Ozero,axiom,
! [X12,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X12) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__left_Ozero) ).
fof(fact_mult_Ozero__left,axiom,
! [X11,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X11) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Ozero__left) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
fof(fact_mult__1,axiom,
! [X4,X5] :
( class_Groups_Ocomm__monoid__mult(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__1) ).
fof(fact_mult__1__left,axiom,
! [X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__1__left) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/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,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Ozero__class_Ozero(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
fof(fact_add__0,axiom,
! [X4,X5] :
( class_Groups_Ocomm__monoid__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Ozero__class_Ozero(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0) ).
fof(fact_add__0__left,axiom,
! [X4,X5] :
( class_Groups_Omonoid__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),c_Groups_Ozero__class_Ozero(X5)),X4) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0__left) ).
fof(fact_divide__self__if,axiom,
! [X4,X5] :
( class_Rings_Odivision__ring__inverse__zero(X5)
=> ( ( X4 = c_Groups_Ozero__class_Ozero(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X4) = c_Groups_Ozero__class_Ozero(X5) )
& ( X4 != c_Groups_Ozero__class_Ozero(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X4) = c_Groups_Oone__class_Oone(X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__self__if) ).
fof(fact_div__0,axiom,
! [X4,X5] :
( class_Divides_Osemiring__div(X5)
=> c_Divides_Odiv__class_Odiv(X5,c_Groups_Ozero__class_Ozero(X5),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__0) ).
fof(fact_div__by__0,axiom,
! [X4,X5] :
( class_Divides_Osemiring__div(X5)
=> c_Divides_Odiv__class_Odiv(X5,X4,c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__by__0) ).
fof(fact_div__self,axiom,
! [X4,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X4 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,X4,X4) = c_Groups_Oone__class_Oone(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__self) ).
fof(fact_divide__zero,axiom,
! [X4,X5] :
( class_Rings_Odivision__ring__inverse__zero(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__zero) ).
fof(fact_mult__zero__right,axiom,
! [X4,X5] :
( class_Rings_Omult__zero(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__zero__right) ).
fof(fact_mult__right_Ozero,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__right_Ozero) ).
fof(fact_mult_Ozero__right,axiom,
! [X4,X5] :
( class_RealVector_Oreal__normed__algebra(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Ozero__right) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(fact_divide__self,axiom,
! [X4,X5] :
( class_Rings_Odivision__ring(X5)
=> ( X4 != c_Groups_Ozero__class_Ozero(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),X4) = c_Groups_Oone__class_Oone(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__self) ).
fof(fact_div__by__1,axiom,
! [X4,X5] :
( class_Divides_Osemiring__div(X5)
=> c_Divides_Odiv__class_Odiv(X5,X4,c_Groups_Oone__class_Oone(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_div__by__1) ).
fof(fact_diff__0__right,axiom,
! [X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,X4,c_Groups_Ozero__class_Ozero(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__0__right) ).
fof(fact_power__0,axiom,
! [X4,X5] :
( class_Power_Opower(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__0) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
! [X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(fact_divide__1,axiom,
! [X4,X5] :
( class_Rings_Odivision__ring(X5)
=> hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5),X4),c_Groups_Oone__class_Oone(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_divide__1) ).
fof(fact_mult_Ocomm__neutral,axiom,
! [X4,X5] :
( class_Groups_Ocomm__monoid__mult(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Oone__class_Oone(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult_Ocomm__neutral) ).
fof(fact_mult__1__right,axiom,
! [X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Oone__class_Oone(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__1__right) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),c_Groups_Oone__class_Oone(X5)) = X4 ),
file('/export/starexec/sandbox2/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,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_add_Ocomm__neutral,axiom,
! [X4,X5] :
( class_Groups_Ocomm__monoid__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add_Ocomm__neutral) ).
fof(fact_add__0__right,axiom,
! [X4,X5] :
( class_Groups_Omonoid__add(X5)
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),X4),c_Groups_Ozero__class_Ozero(X5)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0__right) ).
fof(fact_diff__self,axiom,
! [X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,X4,X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__self) ).
fof(fact_power__one__right,axiom,
! [X4,X5] :
( class_Groups_Omonoid__mult(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__one__right) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X7,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).
fof(fact_sgn__sgn,axiom,
! [X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> c_Groups_Osgn__class_Osgn(X5,c_Groups_Osgn__class_Osgn(X5,X4)) = c_Groups_Osgn__class_Osgn(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__sgn) ).
fof(fact_abs__idempotent,axiom,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> c_Groups_Oabs__class_Oabs(X5,c_Groups_Oabs__class_Oabs(X5,X4)) = c_Groups_Oabs__class_Oabs(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__idempotent) ).
fof(fact_complex__surj,axiom,
! [X14] : c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X14),hAPP(c_Complex_OIm,X14)) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__surj) ).
fof(fact_abs__norm__cancel,axiom,
! [X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X4)) = c_RealVector_Onorm__class_Onorm(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__norm__cancel) ).
fof(fact_zdiv__self,axiom,
! [X4] :
( X4 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
=> c_Divides_Odiv__class_Odiv(tc_Int_Oint,X4,X4) = c_Groups_Oone__class_Oone(tc_Int_Oint) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__self) ).
fof(fact_zdiv__zero,axiom,
! [X11] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X11) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zdiv__zero) ).
fof(fact_diff__0__eq__0,axiom,
! [X29] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__0__eq__0) ).
fof(fact_norm__sgn,axiom,
! [X7,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( ( X7 = c_Groups_Ozero__class_Ozero(X5)
=> c_RealVector_Onorm__class_Onorm(X5,c_Groups_Osgn__class_Osgn(X5,X7)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X7 != c_Groups_Ozero__class_Ozero(X5)
=> c_RealVector_Onorm__class_Onorm(X5,c_Groups_Osgn__class_Osgn(X5,X7)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_One__nat__def) ).
fof(fact_minus__nat_Odiff__0,axiom,
! [X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_minus__nat_Odiff__0) ).
fof(fact_diff__self__eq__0,axiom,
! [X30] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X30) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__self__eq__0) ).
fof(fact_mult__0,axiom,
! [X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__0) ).
fof(fact_Bseq__monoseq__convergent,axiom,
! [X25] :
( c_SEQ_OBseq(tc_RealDef_Oreal,X25)
=> ( c_SEQ_Omonoseq(tc_RealDef_Oreal,X25)
=> c_SEQ_Oconvergent(tc_RealDef_Oreal,X25) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_sin__zero) ).
fof(fact_zmult__1,axiom,
! [X14] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__1) ).
fof(fact_nat__mult__1,axiom,
! [X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X29) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__1) ).
fof(fact_real__mult__1,axiom,
! [X14] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__1) ).
fof(fact_zadd__0,axiom,
! [X14] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X14) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__0) ).
fof(fact_plus__nat_Oadd__0,axiom,
! [X29] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X29) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_plus__nat_Oadd__0) ).
fof(fact_mult__0__right,axiom,
! [X30] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X30),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mult__0__right) ).
fof(fact_complex__mod__rcis,axiom,
! [X4,X23] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X23,X4)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__mod__rcis) ).
fof(fact_zmult__1__right,axiom,
! [X14] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X14),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zmult__1__right) ).
fof(fact_nat__mult__1__right,axiom,
! [X29] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X29),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__mult__1__right) ).
fof(fact_zadd__0__right,axiom,
! [X14] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X14),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zadd__0__right) ).
fof(fact_Nat_Oadd__0__right,axiom,
! [X30] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(fact_abs__real__of__nat__cancel,axiom,
! [X7] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X7)) = c_RealDef_Oreal(tc_Nat_Onat,X7),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_complex_Oinject) ).
fof(fact_psize__eq__0__iff,axiom,
! [X43,X5] :
( class_Groups_Ozero(X5)
=> ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X43) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
<=> X43 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_psize__eq__0__iff) ).
fof(fact_incseq__imp__monoseq,axiom,
! [X25,X5] :
( class_Orderings_Oorder(X5)
=> ( c_SEQ_Oincseq(X5,X25)
=> c_SEQ_Omonoseq(X5,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_incseq__imp__monoseq) ).
fof(fact_decseq__imp__monoseq,axiom,
! [X25,X5] :
( class_Orderings_Oorder(X5)
=> ( c_SEQ_Odecseq(X5,X25)
=> c_SEQ_Omonoseq(X5,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_decseq__imp__monoseq) ).
fof(fact_real__of__nat__inject,axiom,
! [X31,X27] :
( c_RealDef_Oreal(tc_Nat_Onat,X27) = c_RealDef_Oreal(tc_Nat_Onat,X31)
<=> X27 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__inject) ).
fof(fact_sgn__0__0,axiom,
! [X6,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( c_Groups_Osgn__class_Osgn(X5,X6) = c_Groups_Ozero__class_Ozero(X5)
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__0__0) ).
fof(fact_sgn__zero__iff,axiom,
! [X10,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_Groups_Osgn__class_Osgn(X5,X10) = c_Groups_Ozero__class_Ozero(X5)
<=> X10 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__zero__iff) ).
fof(fact_abs__eq__0,axiom,
! [X6,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ( c_Groups_Oabs__class_Oabs(X5,X6) = c_Groups_Ozero__class_Ozero(X5)
<=> X6 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_complex_Osize_I2_J) ).
fof(fact_Re,axiom,
! [X12,X7] : hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X7,X12)) = X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Re) ).
fof(fact_Im,axiom,
! [X12,X7] : hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X7,X12)) = X12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Im) ).
fof(fact_norm__eq__zero,axiom,
! [X10,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ( c_RealVector_Onorm__class_Onorm(X5,X10) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
<=> X10 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_complex_Osize_I1_J) ).
fof(fact_sgn__one,axiom,
! [X5] :
( class_RealVector_Oreal__normed__algebra__1(X5)
=> c_Groups_Osgn__class_Osgn(X5,c_Groups_Oone__class_Oone(X5)) = c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__one) ).
fof(fact_sgn0,axiom,
! [X5] :
( class_Groups_Osgn__if(X5)
=> c_Groups_Osgn__class_Osgn(X5,c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn0) ).
fof(fact_sgn__zero,axiom,
! [X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_Groups_Osgn__class_Osgn(X5,c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sgn__zero) ).
fof(fact_abs__one,axiom,
! [X5] :
( class_Rings_Olinordered__idom(X5)
=> c_Groups_Oabs__class_Oabs(X5,c_Groups_Oone__class_Oone(X5)) = c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__one) ).
fof(fact_abs__zero,axiom,
! [X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> c_Groups_Oabs__class_Oabs(X5,c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__zero) ).
fof(fact_Complex__eq__1,axiom,
! [X22,X6] :
( c_Complex_Ocomplex_OComplex(X6,X22) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)
<=> ( X6 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
& X22 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Complex__eq__1) ).
fof(fact_Complex__eq__0,axiom,
! [X22,X6] :
( c_Complex_Ocomplex_OComplex(X6,X22) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
<=> ( X6 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
& X22 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Complex__eq__0) ).
fof(fact_norm__one,axiom,
! [X5] :
( class_RealVector_Oreal__normed__algebra__1(X5)
=> c_RealVector_Onorm__class_Onorm(X5,c_Groups_Oone__class_Oone(X5)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__one) ).
fof(fact_norm__zero,axiom,
! [X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_RealVector_Onorm__class_Onorm(X5,c_Groups_Ozero__class_Ozero(X5)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__zero) ).
fof(fact_natfloor__real__of__nat,axiom,
! [X29] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X29)) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natfloor__real__of__nat) ).
fof(fact_natceiling__real__of__nat,axiom,
! [X29] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X29)) = X29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_natceiling__real__of__nat) ).
fof(fact_real__of__nat__zero__iff,axiom,
! [X27] :
( c_RealDef_Oreal(tc_Nat_Onat,X27) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
<=> X27 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__of__nat__zero__iff) ).
fof(fact_Complex__eq__i,axiom,
! [X9,X10] :
( c_Complex_Ocomplex_OComplex(X10,X9) = c_Complex_Oii
<=> ( X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
& X9 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',fact_cis__zero) ).
fof(fact_one__neq__zero,axiom,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Oone__class_Oone(X5) != c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_one__neq__zero) ).
fof(fact_zero__neq__one,axiom,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Ozero__class_Ozero(X5) != c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__neq__one) ).
fof(fact_rcis__zero__mod,axiom,
! [X4] : c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__1) ).
fof(arity_Polynomial__Opoly__Rings_Oring,axiom,
! [X103] :
( class_Rings_Ocomm__ring(X103)
=> class_Rings_Oring(tc_Polynomial_Opoly(X103)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__group__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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__group__add) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ogroup__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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring__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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__ring__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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__ring) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Osemiring) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ono__zero__divisors) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Omult__zero) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Osgn__if) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__idom) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Olinordered__semidom) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Olinordered__ab__group__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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocomm__monoid__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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Omonoid__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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oab__semigroup__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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oone) ).
fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,
! [X103] :
( class_Rings_Olinordered__idom(X103)
=> class_Orderings_Oorder(tc_Polynomial_Opoly(X103)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Oorder) ).
fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,
! [X103] :
( class_Rings_Olinordered__idom(X103)
=> class_Orderings_Oord(tc_Polynomial_Opoly(X103)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Oord) ).
fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,
! [X103] :
( class_Rings_Olinordered__idom(X103)
=> class_Orderings_Olinorder(tc_Polynomial_Opoly(X103)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Olinorder) ).
fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,
! [X103] :
( class_Groups_Ozero(X103)
=> class_Groups_Ozero(tc_Polynomial_Opoly(X103)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Ozero) ).
fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,
! [X103] :
( class_Rings_Olinordered__idom(X103)
=> class_Orderings_Opreorder(tc_Polynomial_Opoly(X103)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Orderings_Opreorder) ).
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/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oidom) ).
fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(arity_RealDef__Oreal__Rings_Oidom,axiom,
class_Rings_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__field) ).
fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(arity_RealDef__Oreal__Fields_Ofield,axiom,
class_Fields_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__field) ).
fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Odivision__ring) ).
fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Ofield__inverse__zero) ).
fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
class_Divides_Osemiring__div(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__1) ).
fof(arity_Int__Oint__Rings_Oring,axiom,
class_Rings_Oring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Oring) ).
fof(arity_Complex__Ocomplex__Rings_Oring,axiom,
class_Rings_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oring) ).
fof(arity_RealDef__Oreal__Rings_Oring,axiom,
class_Rings_Oring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring) ).
fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
class_Groups_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oab__group__add) ).
fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
class_Groups_Oordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add) ).
fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
class_Rings_Osemiring__0(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Power_Opower) ).
fof(arity_Nat__Onat__Power_Opower,axiom,
class_Power_Opower(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Power_Opower) ).
fof(arity_Complex__Ocomplex__Power_Opower,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Power_Opower) ).
fof(arity_RealDef__Oreal__Power_Opower,axiom,
class_Power_Opower(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors) ).
fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
class_Rings_Olinordered__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring) ).
fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict) ).
fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
class_Rings_Olinordered__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring__strict) ).
fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
class_Rings_Oordered__comm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oordered__cancel__semiring) ).
fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
class_Rings_Olinordered__ring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__ring__strict) ).
fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
class_Rings_Olinordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__ring) ).
fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
class_Groups_Ocomm__monoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocomm__monoid__mult) ).
fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
class_Groups_Omonoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__mult) ).
fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
class_Rings_Ocomm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Osemiring) ).
fof(arity_Nat__Onat__Rings_Osemiring,axiom,
class_Rings_Osemiring(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Rings_Osemiring) ).
fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,
class_Rings_Osemiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Osemiring) ).
fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,
class_Rings_Osemiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Osemiring) ).
fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
class_Rings_Ono__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ono__zero__divisors) ).
fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
class_Rings_Oring__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Oring__no__zero__divisors) ).
fof(arity_Int__Oint__Rings_Omult__zero,axiom,
class_Rings_Omult__zero(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Omult__zero) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict) ).
fof(arity_Int__Oint__Groups_Osgn__if,axiom,
class_Groups_Osgn__if(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Osgn__if) ).
fof(arity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Ometric__space) ).
fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
class_Rings_Ozero__neq__one(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ozero__neq__one) ).
fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
class_Rings_Olinordered__idom(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
class_Rings_Olinordered__semidom(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
class_Groups_Oordered__comm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Olinordered__ab__group__add) ).
fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
class_Groups_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocomm__monoid__add) ).
fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
class_Groups_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__add) ).
fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ocancel__semigroup__add) ).
fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
class_Groups_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oab__semigroup__add) ).
fof(arity_Int__Oint__Groups_Oone,axiom,
class_Groups_Oone(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Oone) ).
fof(arity_Nat__Onat__Groups_Oone,axiom,
class_Groups_Oone(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Oone) ).
fof(arity_Complex__Ocomplex__Groups_Oone,axiom,
class_Groups_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Oone) ).
fof(arity_RealDef__Oreal__Groups_Oone,axiom,
class_Groups_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oone) ).
fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(arity_HOL__Obool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Oorder) ).
fof(arity_Int__Oint__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Oorder) ).
fof(arity_Nat__Onat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Oorder) ).
fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(arity_HOL__Obool__Orderings_Oord,axiom,
class_Orderings_Oord(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Oord) ).
fof(arity_Int__Oint__Orderings_Oord,axiom,
class_Orderings_Oord(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Oord) ).
fof(arity_Nat__Onat__Orderings_Oord,axiom,
class_Orderings_Oord(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Oord) ).
fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
class_Orderings_Oord(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oord) ).
fof(arity_Int__Oint__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Olinorder) ).
fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Olinorder) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(arity_Int__Oint__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Groups_Ozero) ).
fof(arity_Nat__Onat__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Groups_Ozero) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(arity_RealDef__Oreal__Groups_Ozero,axiom,
class_Groups_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ozero) ).
fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_HOL_Obool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Opreorder) ).
fof(arity_Int__Oint__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int__Oint__Orderings_Opreorder) ).
fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Nat_Onat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat__Onat__Orderings_Opreorder) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(fact_g_I1_J,axiom,
c_SEQ_Osubseq(v_ga____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_g_I1_J) ).
fof(fact_f_I1_J,axiom,
c_SEQ_Osubseq(v_f____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_f_I1_J) ).
fof(i_0_1259,plain,
! [X4650] : hAPP(c_Complex_OIm,c_Complex_Ocis(X4650)) = c_Transcendental_Osin(X4650),
inference(variable_rename,[status(thm)],[fact_Im__cis]) ).
fof(i_0_1260,plain,
! [X4634] : c_Complex_Ocis(X4634) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X4634),
inference(variable_rename,[status(thm)],[fact_cis__rcis__eq]) ).
fof(i_0_1261,plain,
! [X4651] : hAPP(c_Complex_ORe,c_Complex_Ocis(X4651)) = c_Transcendental_Ocos(X4651),
inference(variable_rename,[status(thm)],[fact_Re__cis]) ).
fof(i_0_1262,plain,
! [X30,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_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),X29)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_div__if]) ).
fof(i_0_1263,plain,
! [X30,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_Nat_Onat,X30),X29))
=> c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X30,X29) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29),X29)) ) ),
inference(fof_simplification,[status(thm)],[fact_div__geq]) ).
fof(i_0_1264,plain,
! [X27,X31] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X31),X27))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X27)),X31)) ),
inference(fof_simplification,[status(thm)],[fact_not__less__eq__eq]) ).
fof(i_0_1265,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X29)),X29)),
inference(fof_simplification,[status(thm)],[fact_Suc__n__not__le__n]) ).
fof(i_0_1266,plain,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),c_Nat_OSuc(X29)))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> X30 = c_Nat_OSuc(X29) ) ),
inference(fof_simplification,[status(thm)],[fact_le__SucE]) ).
fof(i_0_1267,plain,
! [X27,X31] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X31),X27))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),c_Nat_OSuc(X31))) ),
inference(fof_simplification,[status(thm)],[fact_not__less__eq]) ).
fof(i_0_1268,plain,
! [X31,X27] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),X31))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X27),c_Nat_OSuc(X31)))
<=> X27 = X31 ) ),
inference(fof_simplification,[status(thm)],[fact_not__less__less__Suc__eq]) ).
fof(i_0_1269,plain,
! [X30,X29] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X30))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Nat_OSuc(X30)))
=> X30 = X29 ) ),
inference(fof_simplification,[status(thm)],[fact_less__antisym]) ).
fof(i_0_1270,plain,
! [X29,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),c_Nat_OSuc(X29)))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> X30 = X29 ) ),
inference(fof_simplification,[status(thm)],[fact_less__SucE]) ).
fof(i_0_1271,plain,
! [X27,X33,X35] :
( epred1_3(X35,X33,X27)
<=> ( ( X33 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
=> hBOOL(hAPP(X35,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))
=> ! [X42] :
( ? [X82] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X82))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X82),X33))
& X27 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X42)),X82) )
=> hBOOL(hAPP(X35,X42)) ) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
=> ! [X42] :
( ? [X82] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X33),X82))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X82),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
& X27 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X33),X42)),X82) )
=> hBOOL(hAPP(X35,X42)) ) ) ) ),
introduced(definition) ).
fof(i_0_1272,plain,
~ ! [X28] :
( c_SEQ_Osubseq(X28)
=> ~ 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____,X28)))) ),
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,
~ ? [X37] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X37))
& ! [X8] : 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____,X8)))))),X37)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(i_0_1274,plain,
! [X4410,X4411,X4412,X4415,X4416,X4419] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4412))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4411,hAPP(X4410,esk39_3(X4410,X4411,X4412)))),X4412))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4411,hAPP(X4410,X4415))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk40_2(X4410,X4411)))))
| ~ class_RealVector_Oreal__normed__vector(X4411) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk42_2(X4410,X4411)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4411,hAPP(X4410,esk41_3(X4410,X4411,X4416)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4416))))
| ~ class_RealVector_Oreal__normed__vector(X4411) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4411,hAPP(X4410,X4419))),esk42_2(X4410,X4411)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4411,hAPP(X4410,esk41_3(X4410,X4411,X4416)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4416))))
| ~ class_RealVector_Oreal__normed__vector(X4411) ) ),
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,
! [X4568] : c_Nat_OSuc(X4568) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4568),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(i_0_1276,plain,
! [X4420,X4421,X4422,X4425,X4426,X4429] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4422))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4421,hAPP(X4420,esk43_3(X4420,X4421,X4422)))),X4422))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4421,hAPP(X4420,X4425))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk44_2(X4420,X4421)))))
| ~ class_RealVector_Oreal__normed__vector(X4421) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk46_2(X4420,X4421)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4421,hAPP(X4420,esk45_3(X4420,X4421,X4426)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4426))))
| ~ class_RealVector_Oreal__normed__vector(X4421) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4421,hAPP(X4420,X4429))),esk46_2(X4420,X4421)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4421,hAPP(X4420,esk45_3(X4420,X4421,X4426)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4426))))
| ~ class_RealVector_Oreal__normed__vector(X4421) ) ),
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,
! [X4558,X4559,X4560] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4560)),X4559)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4560)),X4558)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4559),X4558)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4559),X4558))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4560)),X4559)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4560)),X4558))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__less__cancel1])]) ).
fof(i_0_1278,plain,
! [X4565,X4566,X4567] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4567)),X4566)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4567)),X4565)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4566),X4565)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4566),X4565))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4567)),X4566)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4567)),X4565))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__le__cancel1])]) ).
fof(i_0_1279,plain,
! [X12,X7,X5] :
( class_Rings_Olinordered__ring(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X12),X12))),c_Groups_Ozero__class_Ozero(X5))) ),
inference(fof_simplification,[status(thm)],[fact_not__sum__squares__lt__zero]) ).
fof(i_0_1280,plain,
! [X4619,X4620,X4622,X4623] :
( ( ~ c_SEQ_OBseq(X4620,X4619)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4620,hAPP(X4619,X4622))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk56_2(X4619,X4620)))))
| ~ class_RealVector_Oreal__normed__vector(X4620) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4620,hAPP(X4619,esk57_3(X4619,X4620,X4623)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4623))))
| c_SEQ_OBseq(X4620,X4619)
| ~ class_RealVector_Oreal__normed__vector(X4620) ) ),
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,
! [X4613,X4614,X4616,X4617] :
( ( ~ c_SEQ_OBseq(X4614,X4613)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4614,hAPP(X4613,X4616))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk54_2(X4613,X4614)))))
| ~ class_RealVector_Oreal__normed__vector(X4614) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4614,hAPP(X4613,esk55_3(X4613,X4614,X4617)))),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4617))))
| c_SEQ_OBseq(X4614,X4613)
| ~ class_RealVector_Oreal__normed__vector(X4614) ) ),
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,
! [X4629,X4630] :
( ( 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,esk59_2(X4629,X4630))),X4630)),X4629))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4629))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4630)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4629),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk59_2(X4629,X4630)))),X4630)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4629))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4630)) ) ),
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,
! [X4584,X4585,X4586,X4587] :
( ~ class_Rings_Olinordered__semidom(X4587)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4587,hAPP(hAPP(c_Power_Opower__class_Opower(X4587),X4586),c_Nat_OSuc(X4585))),hAPP(hAPP(c_Power_Opower__class_Opower(X4587),X4584),c_Nat_OSuc(X4585))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4587,c_Groups_Ozero__class_Ozero(X4587)),X4584))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4587,X4586),X4584)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__base])]) ).
fof(i_0_1284,plain,
! [X4573,X4574,X4575,X4576] :
( ( ~ c_SEQ_Omonoseq(X4574,X4573)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4574,hAPP(X4573,X4575)),hAPP(X4573,c_Nat_OSuc(X4575))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4574,hAPP(X4573,c_Nat_OSuc(X4576))),hAPP(X4573,X4576)))
| ~ class_Orderings_Oorder(X4574) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4574,hAPP(X4573,esk51_2(X4573,X4574))),hAPP(X4573,c_Nat_OSuc(esk51_2(X4573,X4574)))))
| c_SEQ_Omonoseq(X4574,X4573)
| ~ class_Orderings_Oorder(X4574) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4574,hAPP(X4573,c_Nat_OSuc(esk52_2(X4573,X4574)))),hAPP(X4573,esk52_2(X4573,X4574))))
| c_SEQ_Omonoseq(X4574,X4573)
| ~ class_Orderings_Oorder(X4574) ) ),
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,
! [X5280,X5281,X5282,X5284,X5285,X5286,X5287] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5280),esk71_3(X5280,X5281,X5282))),X5281))
| X5280 = 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(tc_Nat_Onat,X5281),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5280),c_Nat_OSuc(esk71_3(X5280,X5281,X5282)))))
| X5280 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(X5282,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5281,X5280))) )
& ( hBOOL(hAPP(X5282,esk71_3(X5280,X5281,X5282)))
| X5280 = 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),esk71_3(X5280,X5281,X5282))),X5281))
| 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(tc_Nat_Onat,X5281),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5280),c_Nat_OSuc(esk71_3(X5280,X5281,X5282)))))
| 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(X5282,esk71_3(X5280,X5281,X5282)))
| hBOOL(hAPP(X5282,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ hBOOL(hAPP(X5282,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5281,X5280))) )
& ( X5284 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(X5286,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X5286,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5285,X5284))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5284),X5287)),X5285))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5285),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5284),c_Nat_OSuc(X5287))))
| ~ hBOOL(hAPP(X5286,X5287))
| hBOOL(hAPP(X5286,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5285,X5284))) ) ),
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,
! [X5034,X5035,X5036] :
( ~ class_Rings_Ocomm__ring__1(X5036)
| c_Groups_Ominus__class_Ominus(X5036,hAPP(hAPP(c_Power_Opower__class_Opower(X5036),X5035),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X5036),X5034),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5036),c_Groups_Ominus__class_Ominus(X5036,X5035,X5034)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5036),X5035),X5034)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__two__diff])]) ).
fof(i_0_1287,plain,
! [X4595,X4596] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4596))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4595))
| 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),X4595),X4596))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__mult])]) ).
fof(i_0_1288,plain,
! [X4601,X4602] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4602))
| ~ 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),X4602),X4601))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4601))
| ~ 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),X4602),X4601))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4602))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4601))
| 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),X4602),X4601))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__le__mult__iff])])]) ).
fof(i_0_1289,plain,
! [X5076,X5077] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5077,X5076)) = 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(X5076))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5077)),c_Transcendental_Osin(X5076))),
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,
! [X5078,X5079] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5079,X5078)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5078)),c_Transcendental_Ocos(X5079))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5078)),c_Transcendental_Osin(X5079))),
inference(variable_rename,[status(thm)],[fact_cos__diff2]) ).
fof(i_0_1294,plain,
! [X4644,X4645] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4645),X4644)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X4645)),c_Transcendental_Ocos(X4644))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X4645)),c_Transcendental_Osin(X4644))),
inference(variable_rename,[status(thm)],[fact_sin__add]) ).
fof(i_0_1295,plain,
! [X5277,X5278,X5279] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5279),X5278)),X5277))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5277),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5279),c_Nat_OSuc(X5278))))
| X5278 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5279)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5279)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5279),X5278)),X5277))
| X5278 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5279)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5279)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5277),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5279),c_Nat_OSuc(X5278))))
| X5278 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5277,X5279)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5279)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__div__lemma])])]) ).
fof(i_0_1296,plain,
! [X4643] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X4643)),c_Transcendental_Ocos(X4643))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X4643)),c_Transcendental_Osin(X4643))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(variable_rename,[status(thm)],[fact_sin__cos__squared__add3]) ).
fof(i_0_1297,plain,
! [X4597,X4598] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4598))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4597))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4598),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4598),X4597))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_n__less__n__mult__m])]) ).
fof(i_0_1298,plain,
! [X4599,X4600] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4600))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4599))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4600),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4599),X4600))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_n__less__m__mult__n])]) ).
fof(i_0_1299,plain,
! [X4516] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4516),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
| X4516 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4516 = 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,
! [X4610,X4611,X4612] :
( ~ class_Rings_Olinordered__semidom(X4612)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4612,c_Groups_Ozero__class_Ozero(X4612)),X4611))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4612,X4611),c_Groups_Oone__class_Oone(X4612)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4612,hAPP(hAPP(c_Power_Opower__class_Opower(X4612),X4611),c_Nat_OSuc(X4610))),c_Groups_Oone__class_Oone(X4612))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less__one])]) ).
fof(i_0_1301,plain,
! [X4607,X4608,X4609] :
( ~ class_Rings_Olinordered__semidom(X4609)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4609,c_Groups_Ozero__class_Ozero(X4609)),X4608))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4609,X4608),c_Groups_Oone__class_Oone(X4609)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4609,hAPP(hAPP(c_Power_Opower__class_Opower(X4609),X4608),c_Nat_OSuc(X4607))),X4608)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__Suc__le__self])]) ).
fof(i_0_1302,plain,
! [X5068,X5069] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5069,X5068)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5068)),c_Transcendental_Osin(X5069)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5068)),c_Transcendental_Ocos(X5069))),
inference(variable_rename,[status(thm)],[fact_sin__diff2]) ).
fof(i_0_1303,plain,
! [X5070,X5071] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5071,X5070)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5071)),c_Transcendental_Ocos(X5070)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5071)),c_Transcendental_Osin(X5070))),
inference(variable_rename,[status(thm)],[fact_sin__diff]) ).
fof(i_0_1304,plain,
! [X5074,X5075] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5075),X5074)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5075)),c_Transcendental_Ocos(X5074)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5075)),c_Transcendental_Osin(X5074))),
inference(variable_rename,[status(thm)],[fact_cos__add]) ).
fof(i_0_1305,plain,
! [X4605,X4606] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4606))
| 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),X4606),X4605))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__one__le__power])]) ).
fof(i_0_1306,plain,
! [X4627,X4628] : c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4628))),X4627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X4627)),c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4628)),X4627))),
inference(variable_rename,[status(thm)],[fact_cis__real__of__nat__Suc__mult]) ).
fof(i_0_1307,plain,
! [X4953,X4954] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4954))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4954,c_Nat_OSuc(X4953))),X4954)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__less])]) ).
fof(i_0_1308,plain,
! [X7] : ~ 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,X7)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X7)),
inference(fof_simplification,[status(thm)],[fact_abs__add__one__not__less__self]) ).
fof(i_0_1309,plain,
! [X4579,X4580,X4581] :
( ( ~ c_SEQ_Osubseq(X4579)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4579,X4580)),hAPP(X4579,c_Nat_OSuc(X4580)))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X4581,esk53_1(X4581))),hAPP(X4581,c_Nat_OSuc(esk53_1(X4581)))))
| c_SEQ_Osubseq(X4581) ) ),
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,
! [X5018,X5019] :
( ( X5019 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5019),X5018) = X5018 )
& ( X5019 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5019),X5018) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5019,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X5018)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__if])]) ).
fof(i_0_1311,plain,
! [X5012,X5013,X5014,X5015] :
( ~ class_Groups_Omonoid__mult(X5015)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5014),X5013))
| hAPP(hAPP(c_Power_Opower__class_Opower(X5015),X5012),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X5013),X5014)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5015),hAPP(hAPP(c_Power_Opower__class_Opower(X5015),X5012),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5013,X5014))),X5012) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_lemma__realpow__diff])]) ).
fof(i_0_1312,plain,
! [X4463,X4464] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4464)),c_Nat_OSuc(X4463)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4464),X4463)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4464),X4463))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4464)),c_Nat_OSuc(X4463))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__eq])]) ).
fof(i_0_1313,plain,
! [X4446,X4447] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4447)),c_Nat_OSuc(X4446)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4447),X4446)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__SucD])]) ).
fof(i_0_1314,plain,
! [X4486,X4487] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4487)),c_Nat_OSuc(X4486)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4487),X4486)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4487),X4486))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4487)),c_Nat_OSuc(X4486))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__mono])]) ).
fof(i_0_1315,plain,
! [X4534,X4535] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4535),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4535),X4534)))),
inference(variable_rename,[status(thm)],[fact_less__add__Suc1]) ).
fof(i_0_1316,plain,
! [X4536,X4537] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4537),c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4536),X4537)))),
inference(variable_rename,[status(thm)],[fact_less__add__Suc2]) ).
fof(i_0_1317,plain,
! [X5288,X5289] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5289))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5289),X5288))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5288,X5289) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5288,X5289),X5289)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__div__geq])]) ).
fof(i_0_1318,plain,
! [X5258,X5259] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5258),X5259))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5258,X5259) = 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)),X5259)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5258),X5259))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5258,X5259) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5258,X5259),X5259))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5259)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1262])])]) ).
fof(i_0_1319,plain,
! [X5256,X5257] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5257))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5256),X5257))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5256,X5257) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5256,X5257),X5257)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1263])]) ).
fof(i_0_1320,plain,
! [X90,X12,X91,X92] :
( X92 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X91),X12)),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) = X12 ) ) ),
inference(fof_simplification,[status(thm)],[fact_divmod__int__rel__div__eq]) ).
fof(i_0_1321,plain,
! [X4974,X4975,X4976] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4976),X4975))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4975,X4976)),X4974) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4975),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4976),X4974)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__diff__eq2])]) ).
fof(i_0_1322,plain,
! [X4971,X4972,X4973] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4973),X4972))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4971,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4972,X4973))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4971),X4973),c_Nat_OSuc(X4972)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__diff__eq1])]) ).
fof(i_0_1323,plain,
! [X4494,X4495,X4496,X4497,X4498] : hAPP(hAPP(c_Power_Opower_Opower(X4498,X4497,X4496),X4495),c_Nat_OSuc(X4494)) = hAPP(hAPP(X4496,X4495),hAPP(hAPP(c_Power_Opower_Opower(X4498,X4497,X4496),X4495),X4494)),
inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__Suc]) ).
fof(i_0_1324,plain,
! [X4592,X4593,X4594] :
( ~ class_Rings_Olinordered__semidom(X4594)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4594,c_Groups_Oone__class_Oone(X4594)),X4593))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4594,c_Groups_Oone__class_Oone(X4594)),hAPP(hAPP(c_Power_Opower__class_Opower(X4594),X4593),c_Nat_OSuc(X4592)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__gt1])]) ).
fof(i_0_1325,plain,
! [X4658] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X4658))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(variable_rename,[status(thm)],[fact_abs__cos__le__one]) ).
fof(i_0_1326,plain,
! [X4657] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Osin(X4657))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(variable_rename,[status(thm)],[fact_abs__sin__le__one]) ).
fof(i_0_1327,plain,
! [X4482,X4483] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4483),X4482))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4482)),X4483)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4482)),X4483))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4483),X4482)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1264])]) ).
fof(i_0_1328,plain,
! [X4952] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4952))
| c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4952,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = X4952 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__pred])]) ).
fof(i_0_1329,plain,
! [X4588,X4589,X4590,X4591] :
( ~ class_Rings_Olinordered__semidom(X4591)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4591),X4590),c_Nat_OSuc(X4589)) != hAPP(hAPP(c_Power_Opower__class_Opower(X4591),X4588),c_Nat_OSuc(X4589))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4591,c_Groups_Ozero__class_Ozero(X4591)),X4590))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4591,c_Groups_Ozero__class_Ozero(X4591)),X4588))
| X4590 = X4588 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__base])]) ).
fof(i_0_1330,plain,
! [X4448,X4449] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4449)),X4448))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4449),X4448)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessD])]) ).
fof(i_0_1331,plain,
! [X4556,X4557] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4557),X4556))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4557)),X4556)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4557)),X4556))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4557),X4556)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__Suc__le])]) ).
fof(i_0_1332,plain,
! [X4552,X4553] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4553)),X4552))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4553),X4552)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4553),X4552))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4553)),X4552)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__eq])]) ).
fof(i_0_1333,plain,
! [X4544,X4545] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4545)),X4544))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4545),X4544)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__le__lessD])]) ).
fof(i_0_1334,plain,
! [X4492,X4493] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4493)),X4492))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4493),X4492)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__leD])]) ).
fof(i_0_1335,plain,
! [X4,X5] :
( class_Rings_Olinordered__ring(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X4)),c_Groups_Ozero__class_Ozero(X5))) ),
inference(fof_simplification,[status(thm)],[fact_not__square__less__zero]) ).
fof(i_0_1336,plain,
! [X5100,X5101] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5101))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5100))
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5100),X5101),X5100) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5100),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5101,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,
! [X4434,X4435] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4435),X4434))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4435)),c_Nat_OSuc(X4434))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mono])]) ).
fof(i_0_1338,plain,
! [X29,X17,X30] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X30),X17)),X29))
=> ~ ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X30),X29))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X17),X29)) ) ),
inference(fof_simplification,[status(thm)],[fact_add__leE]) ).
fof(i_0_1339,plain,
! [X4437,X4438,X4439] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4439)),X4438) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4439)),X4437)
| X4438 = X4437 )
& ( X4438 != X4437
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4439)),X4438) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4439)),X4437) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__cancel1])]) ).
fof(i_0_1340,plain,
! [X4625] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,esk58_1(X4625))),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,X4625),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk58_1(X4625)))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4625)) ) ),
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,
! [X4481] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4481)),X4481)),
inference(variable_rename,[status(thm)],[i_0_1265]) ).
fof(i_0_1342,plain,
! [X4452,X4453,X4454] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4454),X4453))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4453),X4452))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4454)),X4452)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__trans__Suc])]) ).
fof(i_0_1343,plain,
! [X22,X6,X35] :
( hBOOL(hAPP(X35,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X6,X22)))
<=> ~ ( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X6),X22))
& ~ hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
| ? [X87] :
( X6 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X22),X87)
& ~ hBOOL(hAPP(X35,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,
! [X4868,X4869] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4869,X4868)),c_Nat_OSuc(X4869))),
inference(variable_rename,[status(thm)],[fact_diff__less__Suc]) ).
fof(i_0_1347,plain,
! [X1,X2,X5,X13] :
( class_Orderings_Oord(X13)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X5,X13),X2),X1))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X2),X1))
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,X13),X1),X2)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__fun__def]) ).
fof(i_0_1348,plain,
! [X4639,X4640] : c_Transcendental_Ocos(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4640)),X4639)) = hAPP(c_Complex_ORe,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4639)),X4640)),
inference(variable_rename,[status(thm)],[fact_cos__n__Re__cis__pow__n]) ).
fof(i_0_1349,plain,
! [X4641,X4642] : c_Transcendental_Osin(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4642)),X4641)) = hAPP(c_Complex_OIm,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4641)),X4642)),
inference(variable_rename,[status(thm)],[fact_sin__n__Im__cis__pow__n]) ).
fof(i_0_1350,plain,
! [X4455,X4456] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4456),X4455))
| c_Nat_OSuc(X4456) = X4455
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4456)),X4455)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessI])]) ).
fof(i_0_1351,plain,
! [X4517,X4518,X4520,X4521,X4522] :
( ( X4518 = c_Nat_OSuc(esk48_2(X4517,X4518))
| X4518 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4518),c_Nat_OSuc(X4517))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk48_2(X4517,X4518)),X4517))
| X4518 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4518),c_Nat_OSuc(X4517))) )
& ( X4521 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4521),c_Nat_OSuc(X4520))) )
& ( X4521 != c_Nat_OSuc(X4522)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4522),X4520))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4521),c_Nat_OSuc(X4520))) ) ),
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,
! [X4699,X4700,X4701] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4701),X4700),c_Nat_OSuc(X4699)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4701,X4700),X4699),
inference(variable_rename,[status(thm)],[fact_Suc__diff__diff]) ).
fof(i_0_1353,plain,
! [X4548,X4549] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4549),X4548))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4549)),X4548)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__leI])]) ).
fof(i_0_1354,plain,
! [X4490,X4491] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4491),c_Nat_OSuc(X4490)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4491),X4490))
| X4491 = c_Nat_OSuc(X4490) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1266])]) ).
fof(i_0_1355,plain,
! [X4484,X4485] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4485),c_Nat_OSuc(X4484)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4485),X4484))
| X4485 = c_Nat_OSuc(X4484) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4485),X4484))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4485),c_Nat_OSuc(X4484))) )
& ( X4485 != c_Nat_OSuc(X4484)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4485),c_Nat_OSuc(X4484))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__Suc__eq])])]) ).
fof(i_0_1356,plain,
! [X4546,X4547] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4546),c_Nat_OSuc(X4547)))
| X4546 = X4547
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4547),X4546)) )
& ( X4546 != X4547
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4546),c_Nat_OSuc(X4547)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4547),X4546)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__less__Suc__eq])])]) ).
fof(i_0_1357,plain,
! [X4467,X4468] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4468),X4467))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4467),c_Nat_OSuc(X4468))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4467),c_Nat_OSuc(X4468)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4468),X4467)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1267])]) ).
fof(i_0_1358,plain,
! [X4860,X4861] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4861),X4860))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4860),X4861) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4860,X4861)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__le])]) ).
fof(i_0_1359,plain,
! [X4603] : 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(X4603)))),
inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc__gt__zero]) ).
fof(i_0_1360,plain,
! [X27,X35] :
( ~ hBOOL(hAPP(X35,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
=> ( hBOOL(hAPP(X35,X27))
=> ? [X32] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X32),X27))
& ! [X42] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X42),X32))
=> ~ hBOOL(hAPP(X35,X42)) )
& hBOOL(hAPP(X35,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,
! [X4465,X4466] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4466),c_Nat_OSuc(X4465)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4466),X4465))
| X4466 = X4465 )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4466),X4465))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4466),c_Nat_OSuc(X4465))) )
& ( X4466 != X4465
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4466),c_Nat_OSuc(X4465))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq])])]) ).
fof(i_0_1362,plain,
! [X4461,X4462] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4462),c_Nat_OSuc(X4461)))
| X4462 = X4461
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4462),X4461)) )
& ( X4462 != X4461
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4462),c_Nat_OSuc(X4461)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4462),X4461)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1268])])]) ).
fof(i_0_1363,plain,
! [X4459,X4460] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4460),X4459))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4460),c_Nat_OSuc(X4459)))
| X4459 = X4460 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1269])]) ).
fof(i_0_1364,plain,
! [X4450,X4451] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4451),c_Nat_OSuc(X4450)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4451),X4450))
| X4451 = X4450 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1270])]) ).
fof(i_0_1365,plain,
! [X4554,X4555] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4555),c_Nat_OSuc(X4554)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4555),X4554)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4555),X4554))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4555),c_Nat_OSuc(X4554))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq__le])]) ).
fof(i_0_1366,plain,
! [X4477,X4478] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X4478)),X4477) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4478),X4477)),
inference(variable_rename,[status(thm)],[fact_add__Suc]) ).
fof(i_0_1367,plain,
! [X4523] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4523),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
| X4523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X4523 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4523),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,
! [X4538,X4539,X4541,X4542,X4543] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4539),X4538))
| X4538 = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4539),esk50_2(X4538,X4539))) )
& ( X4541 != c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4542),X4543))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4542),X4541)) ) ),
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,
! [X4648] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Ocos(X4648)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(variable_rename,[status(thm)],[fact_cos__le__one]) ).
fof(i_0_1370,plain,
! [X4649] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Osin(X4649)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(variable_rename,[status(thm)],[fact_sin__le__one]) ).
fof(i_0_1371,axiom,
! [X33,X27,X35] :
( hBOOL(hAPP(X35,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X27,X33)))
<=> epred1_3(X35,X33,X27) ),
inference(apply_def,[status(thm)],[fact_split__zdiv,c_0_1271]) ).
fof(i_0_1372,plain,
! [X10] :
( ~ 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),X10),X10)))
<=> X10 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[fact_not__real__square__gt__zero]) ).
fof(i_0_1373,plain,
! [X4504,X4505,X4506] :
( ~ class_Groups_Omonoid__mult(X4506)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4506),X4505),c_Nat_OSuc(X4504)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4506),hAPP(hAPP(c_Power_Opower__class_Opower(X4506),X4505),X4504)),X4505) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc2])]) ).
fof(i_0_1374,plain,
! [X4507,X4508,X4509] :
( ~ class_Rings_Ocomm__semiring__1(X4509)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4509),hAPP(hAPP(c_Power_Opower__class_Opower(X4509),X4508),X4507)),X4508) = hAPP(hAPP(c_Power_Opower__class_Opower(X4509),X4508),c_Nat_OSuc(X4507)) ),
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,
! [X5017] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5017))
| c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5017,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = X5017 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__1])]) ).
fof(i_0_1376,plain,
! [X5016] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5016))
| X5016 = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5016,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,
! [X5274] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X5274),c_Transcendental_Osin(X5274))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(variable_rename,[status(thm)],[fact_cmod__unit__one]) ).
fof(i_0_1378,plain,
! [X4457,X4458] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4458),X4457))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4458),c_Nat_OSuc(X4457))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__SucI])]) ).
fof(i_0_1379,plain,
! [X4550,X4551] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4551),X4550))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4551),c_Nat_OSuc(X4550))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__less__Suc])]) ).
fof(i_0_1380,plain,
! [X4488,X4489] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4489),X4488))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4489),c_Nat_OSuc(X4488))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__SucI])]) ).
fof(i_0_1381,plain,
! [X4479,X4480] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_OSuc(X4480)),X4479) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4480),c_Nat_OSuc(X4479)),
inference(variable_rename,[status(thm)],[fact_add__Suc__shift]) ).
fof(i_0_1382,plain,
! [X4561,X4562] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4562)),X4561) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4561),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4562),X4561)),
inference(variable_rename,[status(thm)],[fact_mult__Suc]) ).
fof(i_0_1383,plain,
! [X4475,X4476] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4476),c_Nat_OSuc(X4475)) = c_Nat_OSuc(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4476),X4475)),
inference(variable_rename,[status(thm)],[fact_add__Suc__right]) ).
fof(i_0_1384,plain,
! [X4678,X4679] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X4678,X4679)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4679)) )
& ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X4678,X4679)),c_Nat_OSuc(X4678)) = X4679
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4679)) ) ),
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,
! [X4677] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4677)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| c_Transcendental_Ocos(c_Transcendental_Oarccos(X4677)) = X4677 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cos__arccos__abs])]) ).
fof(i_0_1386,plain,
! [X5294] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5294))
| c_Transcendental_Ocos(c_Complex_Oarg(c_Complex_Ocomplex_OComplex(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X5294))) = 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,
! [X4,X5] :
( class_Groups_Oordered__ab__group__add__abs(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oabs__class_Oabs(X5,X4)),c_Groups_Ozero__class_Ozero(X5))) ),
inference(fof_simplification,[status(thm)],[fact_abs__not__less__zero]) ).
fof(i_0_1388,plain,
! [X4570] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X4570) = 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,
! [X5292] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,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__neg])]) ).
fof(i_0_1390,plain,
! [X4816,X4817] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4817,c_Nat_OSuc(X4816)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4817,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4816),
inference(variable_rename,[status(thm)],[fact_diff__Suc__eq__diff__pred]) ).
fof(i_0_1391,plain,
! [X4501,X4502,X4503] :
( ~ class_Power_Opower(X4503)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4503),X4502),c_Nat_OSuc(X4501)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4503),X4502),hAPP(hAPP(c_Power_Opower__class_Opower(X4503),X4502),X4501)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc])]) ).
fof(i_0_1392,plain,
! [X4513,X4514,X4515] :
( ~ class_Rings_Ocomm__semiring__1(X4515)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4515),X4514),c_Nat_OSuc(X4513)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4515),X4514),hAPP(hAPP(c_Power_Opower__class_Opower(X4515),X4514),X4513)) ),
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,
! [X4510,X4511,X4512] :
( ~ class_Rings_Ocomm__semiring__1(X4512)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4512),X4511),hAPP(hAPP(c_Power_Opower__class_Opower(X4512),X4511),X4510)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4512),X4511),c_Nat_OSuc(X4510)) ),
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,
! [X4635,X4636] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Ocis(X4636)),X4635) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4635)),X4636)),
inference(variable_rename,[status(thm)],[fact_DeMoivre]) ).
fof(i_0_1395,plain,
! [X9,X10,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
& ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X9),X10)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).
fof(i_0_1396,plain,
! [X7,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5,X7)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(fof_simplification,[status(thm)],[fact_norm__not__less__zero]) ).
fof(i_0_1397,plain,
! [X4702,X4703] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4703),c_Nat_OSuc(X4702)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4703,X4702),
inference(variable_rename,[status(thm)],[fact_diff__Suc__Suc]) ).
fof(i_0_1398,plain,
! [X4436] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_OSuc(X4436))),
inference(variable_rename,[status(thm)],[fact_zero__less__Suc]) ).
fof(i_0_1399,plain,
! [X4532,X4533] :
( ( X4533 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4533),X4532) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4532 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4533),X4532) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4533 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4532 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4533),X4532) = 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,
! [X4563,X4564] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4564),c_Nat_OSuc(X4563)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4564),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4564),X4563)),
inference(variable_rename,[status(thm)],[fact_mult__Suc__right]) ).
fof(i_0_1401,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X29)),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,
! [X4528,X4529] :
( ( X4529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4529 = 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),X4529),X4528) )
& ( X4528 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4529 = 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),X4529),X4528) )
& ( X4529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4528 = 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),X4529),X4528) )
& ( X4528 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4528 = 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),X4529),X4528) )
& ( X4529 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4528 != 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),X4529),X4528) )
& ( X4529 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4528 != 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),X4529),X4528) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__is__add])])]) ).
fof(i_0_1403,plain,
! [X4530,X4531] :
( ( X4531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4531 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4531),X4530) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4530 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4531 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4531),X4530) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4530 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4531),X4530) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4530 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4530 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4531),X4530) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4531 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4531),X4530) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4531 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4530 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4531),X4530) = 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,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> X10 = X9 ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv2]) ).
fof(i_0_1405,plain,
! [X4433] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4433),c_Nat_OSuc(X4433))),
inference(variable_rename,[status(thm)],[fact_lessI]) ).
fof(i_0_1406,plain,
! [X4,X11,X5] :
( class_Orderings_Oorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11)) ) ),
inference(fof_simplification,[status(thm)],[fact_xt1_I9_J]) ).
fof(i_0_1407,plain,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10))
| X10 = X9 ) ) ),
inference(fof_simplification,[status(thm)],[fact_not__less__iff__gr__or__eq]) ).
fof(i_0_1408,plain,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X9),X10)) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__not__less]) ).
fof(i_0_1409,plain,
! [X7,X12,X5] :
( class_Orderings_Olinorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12)) ) ),
inference(fof_simplification,[status(thm)],[fact_leD]) ).
fof(i_0_1410,plain,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
<=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10)) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__not__le]) ).
fof(i_0_1411,plain,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
inference(fof_simplification,[status(thm)],[fact_order__less__not__sym]) ).
fof(i_0_1412,plain,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
inference(fof_simplification,[status(thm)],[fact_order__less__imp__not__less]) ).
fof(i_0_1413,plain,
! [X11,X4,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X4),X11))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X11),X4)) ) ),
inference(fof_simplification,[status(thm)],[fact_order__less__asym_H]) ).
fof(i_0_1414,plain,
! [X12,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ),
inference(fof_simplification,[status(thm)],[fact_order__less__asym]) ).
fof(i_0_1415,plain,
! [X5414,X5415] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex),c_Complex_Ocis(X5415)),c_Complex_Ocis(X5414)) = c_Complex_Ocis(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5415,X5414)),
inference(variable_rename,[status(thm)],[fact_cis__divide]) ).
fof(i_0_1416,plain,
! [X4632,X4633] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X4633)),c_Complex_Ocis(X4632)) = c_Complex_Ocis(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4633),X4632)),
inference(variable_rename,[status(thm)],[fact_cis__mult]) ).
fof(i_0_1417,plain,
! [X29,X30] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X30),X29))
=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X29),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X30,X29)) = X30 ),
inference(fof_simplification,[status(thm)],[fact_add__diff__inverse]) ).
fof(i_0_1418,plain,
! [X9,X10,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X10),X9))
<=> X10 = X9 ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv1]) ).
fof(i_0_1419,plain,
! [X4571,X4572] :
( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4572),X4571) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| X4571 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4572 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4571 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4572),X4571) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
& ( X4572 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4572),X4571) = 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,
! [X5255] : c_Complex_Ocis(X5255) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(X5255),c_Transcendental_Osin(X5255)),
inference(variable_rename,[status(thm)],[fact_cis__def]) ).
fof(i_0_1421,plain,
! [X4604] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X4604)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4604)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc]) ).
fof(i_0_1422,plain,
! [X4524,X4526,X4527] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4524))
| X4524 = c_Nat_OSuc(esk49_1(X4524)) )
& ( X4526 != c_Nat_OSuc(X4527)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4526)) ) ),
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,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5)),c_Groups_Ozero__class_Ozero(X5))) ),
inference(fof_simplification,[status(thm)],[fact_not__one__less__zero]) ).
fof(i_0_1424,plain,
! [X5] :
( class_Rings_Olinordered__semidom(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5)),c_Groups_Ozero__class_Ozero(X5))) ),
inference(fof_simplification,[status(thm)],[fact_not__one__le__zero]) ).
fof(i_0_1425,plain,
! [X5293] :
( 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])]) ).
fof(i_0_1426,plain,
! [X7,X12] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X7))
=> c_Nat__Transfer_Otsub(X7,X12) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,X12) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X12),X7))
=> c_Nat__Transfer_Otsub(X7,X12) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ),
inference(fof_simplification,[status(thm)],[fact_tsub__def]) ).
fof(i_0_1427,plain,
! [X4499,X4500] :
( ~ class_Power_Opower(X4500)
| ~ class_Rings_Osemiring__0(X4500)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4500),c_Groups_Ozero__class_Ozero(X4500)),c_Nat_OSuc(X4499)) = c_Groups_Ozero__class_Ozero(X4500) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__Suc])]) ).
fof(i_0_1428,plain,
! [X4646] :
( c_Transcendental_Osin(X4646) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Transcendental_Ocos(X4646)) = 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,
! [X12,X7,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( X7 != X12
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom]) ).
fof(i_0_1430,plain,
! [X10,X9,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X9),X10))
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X10),X9))
<=> X10 = X9 ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__antisym__conv3]) ).
fof(i_0_1431,plain,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( X7 != X12
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__neqE]) ).
fof(i_0_1432,plain,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> ( X7 != X12
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X12),X7)) ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__cases]) ).
fof(i_0_1433,plain,
! [X7,X12,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12)) ) ),
inference(fof_simplification,[status(thm)],[fact_not__leE]) ).
fof(i_0_1434,plain,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7)) ) ),
inference(fof_simplification,[status(thm)],[fact_leI]) ).
fof(i_0_1435,plain,
! [X12,X7,X5] :
( class_Orderings_Olinorder(X5)
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5,X12),X7)) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__le__cases]) ).
fof(i_0_1436,plain,
! [X4661,X4662] : hAPP(c_Complex_ORe,c_Complex_Orcis(X4662,X4661)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4662),c_Transcendental_Ocos(X4661)),
inference(variable_rename,[status(thm)],[fact_Re__rcis]) ).
fof(i_0_1437,plain,
! [X4659,X4660] : hAPP(c_Complex_OIm,c_Complex_Orcis(X4660,X4659)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4660),c_Transcendental_Osin(X4659)),
inference(variable_rename,[status(thm)],[fact_Im__rcis]) ).
fof(i_0_1438,plain,
! [X5219] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5219,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = X5219,
inference(variable_rename,[status(thm)],[fact_div__1]) ).
fof(i_0_1439,plain,
! [X4471,X4472] :
( ( c_Nat_OSuc(X4472) != c_Nat_OSuc(X4471)
| X4472 = X4471 )
& ( X4472 != X4471
| c_Nat_OSuc(X4472) = c_Nat_OSuc(X4471) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat_Oinject])]) ).
fof(i_0_1440,plain,
! [X4469,X4470] :
( c_Nat_OSuc(X4470) != c_Nat_OSuc(X4469)
| X4470 = X4469 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__inject])]) ).
fof(i_0_1441,plain,
! [X12,X7] :
( X7 != X12
=> ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7),X12))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12),X7)) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__neqE__nat]) ).
fof(i_0_1442,plain,
! [X4815] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4815),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4815,
inference(variable_rename,[status(thm)],[fact_diff__Suc__1]) ).
fof(i_0_1443,plain,
! [X7,X5] :
( class_Orderings_Opreorder(X5)
=> ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5,X7),X7)) ),
inference(fof_simplification,[status(thm)],[fact_order__less__irrefl]) ).
fof(i_0_1444,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(fof_simplification,[status(thm)],[fact_not__less0]) ).
fof(i_0_1445,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(fof_simplification,[status(thm)],[fact_less__nat__zero__code]) ).
fof(i_0_1446,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(fof_simplification,[status(thm)],[fact_less__zeroE]) ).
fof(i_0_1447,plain,
! [X4647] :
( c_Transcendental_Ocos(X4647) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| c_Transcendental_Osin(X4647) = 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,
! [X4583] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4583) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(X4583)),
inference(variable_rename,[status(thm)],[fact_less__eq__Suc__le__raw]) ).
fof(i_0_1449,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X29)),
inference(fof_simplification,[status(thm)],[fact_less__not__refl]) ).
fof(i_0_1450,plain,
! [X29] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X29),X29)),
inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat]) ).
fof(i_0_1451,plain,
! [X4569] : c_Nat_OSuc(X4569) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4569),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1__left]) ).
fof(i_0_1452,plain,
! [X4443] : c_Nat_OSuc(X4443) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_Suc__not__Zero]) ).
fof(i_0_1453,plain,
! [X4442] : c_Nat_OSuc(X4442) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_nat_Osimps_I3_J]) ).
fof(i_0_1454,plain,
! [X4440] : c_Nat_OSuc(X4440) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_Suc__neq__Zero]) ).
fof(i_0_1455,plain,
! [X4445] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X4445),
inference(variable_rename,[status(thm)],[fact_Zero__not__Suc]) ).
fof(i_0_1456,plain,
! [X4444] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X4444),
inference(variable_rename,[status(thm)],[fact_nat_Osimps_I2_J]) ).
fof(i_0_1457,plain,
! [X4441] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(X4441),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
fof(i_0_1458,plain,
! [X4473] : c_Nat_OSuc(X4473) != X4473,
inference(variable_rename,[status(thm)],[fact_Suc__n__not__n]) ).
fof(i_0_1459,plain,
! [X4474] : X4474 != c_Nat_OSuc(X4474),
inference(variable_rename,[status(thm)],[fact_n__not__Suc__n]) ).
fof(i_0_1460,plain,
! [X5087,X5088,X5089] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5089))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5088,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,X5088,X5087))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X5089))),X5087)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_decr__lemma])]) ).
fof(i_0_1461,plain,
! [X5039,X5040,X5041,X5042,X5044] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5041,X5040),esk67_4(X5039,X5040,X5041,X5042)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5041,X5040),X5044))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5042,hAPP(X5039,X5044))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X5042,hAPP(X5039,X5040)))))
| ~ class_RealVector_Oreal__normed__vector(X5042)
| ~ class_Orderings_Oord(X5041) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5042,c_Groups_Ominus__class_Ominus(X5042,hAPP(X5039,X5040),hAPP(X5039,esk67_4(X5039,X5040,X5041,X5042))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5041,X5040),X5044))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5042,hAPP(X5039,X5044))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X5042,hAPP(X5039,X5040)))))
| ~ class_RealVector_Oreal__normed__vector(X5042)
| ~ class_Orderings_Oord(X5041) ) ),
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,
! [X4929,X4930,X4931,X4932,X4933,X4934] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4934,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4934),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),X4933),X4932)),X4931)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4934),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),X4930),X4932)),X4929)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4934,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4934),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),c_Groups_Ominus__class_Ominus(X4934,X4933,X4930)),X4932)),X4931)),X4929))
| ~ class_Rings_Oordered__ring(X4934) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4934,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4934),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),c_Groups_Ominus__class_Ominus(X4934,X4933,X4930)),X4932)),X4931)),X4929))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4934,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4934),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),X4933),X4932)),X4931)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4934),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),X4930),X4932)),X4929)))
| ~ class_Rings_Oordered__ring(X4934) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__iff1])])]) ).
fof(i_0_1463,plain,
! [X4917,X4918,X4919,X4920,X4921,X4922] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4922,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4922),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4922),X4921),X4920)),X4919)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4922),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4922),X4918),X4920)),X4917)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4922,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4922),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4922),c_Groups_Ominus__class_Ominus(X4922,X4921,X4918)),X4920)),X4919)),X4917))
| ~ class_Rings_Oordered__ring(X4922) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4922,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4922),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4922),c_Groups_Ominus__class_Ominus(X4922,X4921,X4918)),X4920)),X4919)),X4917))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4922,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4922),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4922),X4921),X4920)),X4919)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4922),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4922),X4918),X4920)),X4917)))
| ~ class_Rings_Oordered__ring(X4922) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__iff1])])]) ).
fof(i_0_1464,plain,
! [X5090,X5091,X5092] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5092))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5091),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X5090),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,X5090,X5091))),c_Groups_Oone__class_Oone(tc_Int_Oint))),X5092)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_incr__lemma])]) ).
fof(i_0_1465,plain,
( c_SEQ_Osubseq(esk9_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____,esk9_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1272])])]) ).
fof(i_0_1466,plain,
! [X5020,X5021,X5022,X5023,X5024] :
( ( ~ 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),X5023),X5022)),X5021)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5024),X5022)),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),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5023,X5024)),X5022)),X5021)),X5020))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5024),X5023)) )
& ( ~ 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,X5023,X5024)),X5022)),X5021)),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),X5023),X5022)),X5021)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5024),X5022)),X5020)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5024),X5023)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__add__iff1])])]) ).
fof(i_0_1467,plain,
! [X4977,X4978,X4979,X4980,X4981] :
( ( ~ 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),X4980),X4979)),X4978)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4981),X4979)),X4977)))
| 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,X4980,X4981)),X4979)),X4978)),X4977))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4981),X4980)) )
& ( ~ 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,X4980,X4981)),X4979)),X4978)),X4977))
| 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),X4980),X4979)),X4978)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4981),X4979)),X4977)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4981),X4980)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__add__iff1])])]) ).
fof(i_0_1468,plain,
! [X3483,X3484,X3485,X3486] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3485),esk20_4(X3483,X3484,X3485,X3486)))
| c_SEQ_OBseq(X3486,X3484)
| ~ class_RealVector_Oreal__normed__vector(X3486) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3486,hAPP(X3484,esk20_4(X3483,X3484,X3485,X3486)))),X3483))
| c_SEQ_OBseq(X3486,X3484)
| ~ class_RealVector_Oreal__normed__vector(X3486) ) ),
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,
! [X3423,X3424,X3425] :
( ~ class_RealVector_Oreal__normed__vector(X3425)
| ~ c_SEQ_OBseq(X3425,c_COMBB(tc_Nat_Onat,X3425,tc_Nat_Onat,X3424,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3423)))
| c_SEQ_OBseq(X3425,X3424) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__offset])]) ).
fof(i_0_1470,plain,
! [X4923,X4924,X4925,X4926,X4927,X4928] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4928,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4928),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4928),X4927),X4926)),X4925)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4928),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4928),X4924),X4926)),X4923)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4928,X4925),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4928),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4928),c_Groups_Ominus__class_Ominus(X4928,X4924,X4927)),X4926)),X4923)))
| ~ class_Rings_Oordered__ring(X4928) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4928,X4925),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4928),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4928),c_Groups_Ominus__class_Ominus(X4928,X4924,X4927)),X4926)),X4923)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4928,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4928),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4928),X4927),X4926)),X4925)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4928),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4928),X4924),X4926)),X4923)))
| ~ class_Rings_Oordered__ring(X4928) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__iff2])])]) ).
fof(i_0_1471,plain,
! [X4911,X4912,X4913,X4914,X4915,X4916] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4916,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4916),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4916),X4915),X4914)),X4913)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4916),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4916),X4912),X4914)),X4911)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4916,X4913),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4916),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4916),c_Groups_Ominus__class_Ominus(X4916,X4912,X4915)),X4914)),X4911)))
| ~ class_Rings_Oordered__ring(X4916) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4916,X4913),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4916),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4916),c_Groups_Ominus__class_Ominus(X4916,X4912,X4915)),X4914)),X4911)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4916,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4916),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4916),X4915),X4914)),X4913)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4916),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4916),X4912),X4914)),X4911)))
| ~ class_Rings_Oordered__ring(X4916) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__iff2])])]) ).
fof(i_0_1472,plain,
! [X2862,X2863,X2864,X2865,X2866] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2864,X2865),X2863),X2862))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2865,hAPP(X2863,X2866)),hAPP(X2862,X2866)))
| ~ class_Orderings_Oord(X2865) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2865,hAPP(X2863,esk2_4(X2862,X2863,X2864,X2865))),hAPP(X2862,esk2_4(X2862,X2863,X2864,X2865))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2864,X2865),X2863),X2862))
| ~ class_Orderings_Oord(X2865) ) ),
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,
! [X5025,X5026,X5027,X5028,X5029] :
( ( ~ 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),X5029),X5027)),X5026)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5028),X5027)),X5025)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5026),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,X5028,X5029)),X5027)),X5025)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5029),X5028)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5026),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,X5028,X5029)),X5027)),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),X5029),X5027)),X5026)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5028),X5027)),X5025)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5029),X5028)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__add__iff2])])]) ).
fof(i_0_1474,plain,
! [X4992,X4993,X4994,X4995,X4996] :
( ( ~ 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),X4996),X4994)),X4993)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4995),X4994)),X4992)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4993),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,X4995,X4996)),X4994)),X4992)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4996),X4995)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4993),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,X4995,X4996)),X4994)),X4992)))
| 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),X4996),X4994)),X4993)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4995),X4994)),X4992)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4996),X4995)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__add__iff2])])]) ).
fof(i_0_1475,plain,
! [X5391,X5392,X5393] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X5393,X5392),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(X5393,X5391),hAPP(X5393,X5392))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5391,X5392))),X5392)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(X5393,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(X5393,X5391),hAPP(X5393,X5392))),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5391,X5392))),X5391)),
inference(variable_rename,[status(thm)],[fact_lemma__MVT]) ).
fof(i_0_1476,plain,
! [X4900,X4901,X4902,X4903,X4904] :
( ~ class_RealVector_Oreal__normed__algebra(X4904)
| c_Groups_Ominus__class_Ominus(X4904,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4904),X4903),X4902),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4904),X4901),X4900)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4904),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4904),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4904),c_Groups_Ominus__class_Ominus(X4904,X4903,X4901)),c_Groups_Ominus__class_Ominus(X4904,X4902,X4900))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4904),c_Groups_Ominus__class_Ominus(X4904,X4903,X4901)),X4900))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4904),X4901),c_Groups_Ominus__class_Ominus(X4904,X4902,X4900))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oprod__diff__prod])]) ).
fof(i_0_1477,plain,
! [X4234,X4235] :
( X4235 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X4234 = 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),X4235),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),esk24_2(X4234,X4235)),X4234))))),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,
! [X3749,X3750,X3751] :
( ~ class_RealVector_Oreal__normed__algebra(X3751)
| ~ c_SEQ_Oconvergent(X3751,X3750)
| ~ c_SEQ_Oconvergent(X3751,X3749)
| c_SEQ_Oconvergent(X3751,c_COMBS(tc_Nat_Onat,X3751,X3751,c_COMBB(X3751,tc_fun(X3751,X3751),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X3751),X3750),X3749)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oconvergent])]) ).
fof(i_0_1479,plain,
! [X3426,X3427,X3428] :
( ~ class_RealVector_Oreal__normed__vector(X3428)
| ~ c_SEQ_Oconvergent(X3428,X3427)
| ~ c_SEQ_Oconvergent(X3428,X3426)
| c_SEQ_Oconvergent(X3428,c_COMBS(tc_Nat_Onat,X3428,X3428,c_COMBB(X3428,tc_fun(X3428,X3428),tc_Nat_Onat,c_Groups_Oplus__class_Oplus(X3428),X3427),X3426)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convergent__add])]) ).
fof(i_0_1480,plain,
! [X4940,X4941,X4942,X4943,X4944] :
( ~ class_Groups_Oordered__ab__group__add__abs(X4944)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4944,c_Groups_Oabs__class_Oabs(X4944,c_Groups_Ominus__class_Ominus(X4944,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4944),X4943),X4942),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4944),X4941),X4940)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4944),c_Groups_Oabs__class_Oabs(X4944,c_Groups_Ominus__class_Ominus(X4944,X4943,X4941))),c_Groups_Oabs__class_Oabs(X4944,c_Groups_Ominus__class_Ominus(X4944,X4942,X4940))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__diff__triangle__ineq])]) ).
fof(i_0_1481,plain,
! [X5324,X5325,X5326] :
( ~ class_RealVector_Oreal__normed__field(X5326)
| ~ c_SEQ_Oconvergent(X5326,X5325)
| c_SEQ_Oconvergent(X5326,c_COMBC(tc_Nat_Onat,X5326,X5326,c_COMBB(X5326,tc_fun(X5326,X5326),tc_Nat_Onat,c_Rings_Oinverse__class_Odivide(X5326),X5325),X5324)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Oconvergent])]) ).
fof(i_0_1482,plain,
! [X3746,X3747,X3748] :
( ~ class_RealVector_Oreal__normed__algebra(X3748)
| ~ c_SEQ_Oconvergent(X3748,X3747)
| c_SEQ_Oconvergent(X3748,c_COMBC(tc_Nat_Onat,X3748,X3748,c_COMBB(X3748,tc_fun(X3748,X3748),tc_Nat_Onat,c_Groups_Otimes__class_Otimes(X3748),X3747),X3746)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Oconvergent])]) ).
fof(i_0_1483,plain,
! [X5007,X5008,X5009,X5010,X5011] :
( ~ class_RealVector_Oreal__normed__vector(X5011)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5011,c_Groups_Ominus__class_Ominus(X5011,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5011),X5010),X5009),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5011),X5008),X5007)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5011,c_Groups_Ominus__class_Ominus(X5011,X5010,X5008))),c_RealVector_Onorm__class_Onorm(X5011,c_Groups_Ominus__class_Ominus(X5011,X5009,X5007))))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__triangle__ineq])]) ).
fof(i_0_1484,plain,
! [X3420,X3421,X3422] :
( ~ class_RealVector_Oreal__normed__vector(X3422)
| ~ c_SEQ_OBseq(X3422,X3421)
| c_SEQ_OBseq(X3422,c_COMBB(tc_Nat_Onat,X3422,tc_Nat_Onat,X3421,c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3420))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__ignore__initial__segment])]) ).
fof(i_0_1485,plain,
! [X5062,X5063] : 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,X5063,X5062))),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,X5063),hAPP(c_Complex_ORe,X5062)))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5063),hAPP(c_Complex_OIm,X5062)))))),
inference(variable_rename,[status(thm)],[fact_metric__bound__lemma]) ).
fof(i_0_1486,negated_conjecture,
! [X5501] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5501))
| ~ 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_1(X5501))))))),X5501)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1273])])]) ).
fof(i_0_1487,plain,
! [X5385,X5386,X5387,X5388,X5389,X5390] :
( ~ class_RealVector_Oreal__field(X5390)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5390),c_Groups_Ominus__class_Ominus(X5390,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5390),X5389),X5388),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5390),X5387),X5386))),X5385) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5390),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5390),X5389),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5390),c_Groups_Ominus__class_Ominus(X5390,X5388,X5386)),X5385))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5390),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5390),c_Groups_Ominus__class_Ominus(X5390,X5389,X5387)),X5385)),X5386)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_DERIV__mult__lemma])]) ).
fof(i_0_1488,plain,
! [X4270,X4271,X4272,X4273,X4274] :
( ~ 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),X4274),X4273)),X4272)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4274),X4271)),X4270)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4272))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4272),X4274))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4270),X4274))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4273),X4271)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_unique__quotient__lemma])]) ).
fof(i_0_1489,plain,
! [X4281,X4282,X4283,X4284,X4285] :
( ~ 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),X4285),X4284)),X4283)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4285),X4282)),X4281)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4281),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4285),X4281))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4285),X4283))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4282),X4284)) ),
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(esk40_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,esk39_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(esk44_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,esk43_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,
! [X4164,X4165,X4166] :
( ( X4165 = c_Groups_Ozero__class_Ozero(X4166)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4166,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4166),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4165),X4165)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4164),X4164))),c_Groups_Ozero__class_Ozero(X4166)))
| ~ class_Rings_Olinordered__ring__strict(X4166) )
& ( X4164 = c_Groups_Ozero__class_Ozero(X4166)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4166,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4166),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4165),X4165)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4164),X4164))),c_Groups_Ozero__class_Ozero(X4166)))
| ~ class_Rings_Olinordered__ring__strict(X4166) )
& ( X4165 != c_Groups_Ozero__class_Ozero(X4166)
| X4164 != c_Groups_Ozero__class_Ozero(X4166)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4166,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4166),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4165),X4165)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4166),X4164),X4164))),c_Groups_Ozero__class_Ozero(X4166)))
| ~ class_Rings_Olinordered__ring__strict(X4166) ) ),
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,
! [X4161,X4162,X4163] :
( ~ class_Rings_Olinordered__ring(X4163)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4163,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4163),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4163),X4162),X4162)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4163),X4161),X4161))),c_Groups_Ozero__class_Ozero(X4163))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1279])]) ).
fof(i_0_1497,plain,
! [X4379,X4380] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4380))
| 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,X4379)),X4380)),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),X4380),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X4379))) ),
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))),esk46_2(X2,X1)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk45_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]) ).
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))),esk42_2(X2,X1)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk41_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]) ).
fof(i_0_1500,plain,
! [X4286,X4287,X4288,X4289,X4290,X4291] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4291),X4290)),X4289) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4288),X4287)),X4286)
| ~ 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),X4288),X4287)),X4286)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4289),X4291))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4286))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4288))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4288),X4291))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4287),X4290)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2__neg__lemma])]) ).
fof(i_0_1501,plain,
! [X5404,X5405] : 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,X5405)),c_RealDef_Oreal(tc_Nat_Onat,X5404)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5405,X5404)))),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)),esk46_2(X1,X2)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk45_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_1503,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk42_2(X1,X2)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,hAPP(X1,esk41_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_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,esk57_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,esk55_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(esk59_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,
! [X5093] :
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5093) != 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),X5093),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,X5093,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),X5093),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,X5093,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,
! [X3521,X3522,X3523,X3524,X3525,X3526] :
( ~ class_Rings_Olinordered__semiring__1__strict(X3526)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3526,X3525),X3524))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3526,X3523),X3524))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3526,c_Groups_Ozero__class_Ozero(X3526)),X3522))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3526,c_Groups_Ozero__class_Ozero(X3526)),X3521))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3526),X3522),X3521) != c_Groups_Oone__class_Oone(X3526)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3526,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3526),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3526),X3522),X3525)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3526),X3521),X3523))),X3524)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convex__bound__lt])]) ).
fof(i_0_1509,plain,
! [X4012,X4013,X4014,X4015,X4016,X4017] :
( ~ class_Rings_Olinordered__semiring__1(X4017)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4017,X4016),X4015))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4017,X4014),X4015))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4017,c_Groups_Ozero__class_Ozero(X4017)),X4013))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4017,c_Groups_Ozero__class_Ozero(X4017)),X4012))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4017),X4013),X4012) != c_Groups_Oone__class_Oone(X4017)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4017,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4017),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4017),X4013),X4016)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4017),X4012),X4014))),X4015)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convex__bound__le])]) ).
fof(i_0_1510,plain,
! [X3479,X3480,X3481] :
( ~ class_RealVector_Oreal__normed__vector(X3481)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3480))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3481,hAPP(X3479,esk19_3(X3479,X3480,X3481)))),X3480))
| c_SEQ_OBseq(X3481,X3479) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BseqI])])]) ).
fof(i_0_1511,plain,
! [X3391,X3392,X3394,X3395] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk13_2(X3391,X3392)))
| ~ c_SEQ_OBseq(X3392,X3391)
| ~ class_RealVector_Oreal__normed__vector(X3392) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3392,hAPP(X3391,X3394))),esk13_2(X3391,X3392)))
| ~ c_SEQ_OBseq(X3392,X3391)
| ~ class_RealVector_Oreal__normed__vector(X3392) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3395))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3392,hAPP(X3391,esk14_3(X3391,X3392,X3395)))),X3395))
| c_SEQ_OBseq(X3392,X3391)
| ~ class_RealVector_Oreal__normed__vector(X3392) ) ),
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,
! [X4211] :
( ( ~ 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)),X4211)),X4211)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4211),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4211),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)),X4211)),X4211)),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,
! [X4267,X4268,X4269] :
( ~ 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),X4269),X4268)),X4267)),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)),X4267))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4269))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4268),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,
! [X4982,X4983,X4984,X4985,X4986] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4986),X4985))
| 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),X4985),X4984)),X4983),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4986),X4984)),X4982)) = 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,X4985,X4986)),X4984)),X4983),X4982) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__diff__add__eq1])]) ).
fof(i_0_1515,plain,
! [X4997,X4998,X4999,X5000,X5001] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5001),X5000))
| 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),X5001),X4999)),X4998),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5000),X4999)),X4997)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4998,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,X5000,X5001)),X4999)),X4997)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__diff__add__eq2])]) ).
fof(i_0_1516,plain,
! [X4685,X4687,X4688] :
( ~ 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),X4687),X4688))),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(X4685,X4687)),c_RealVector_Onorm__class_Onorm(X4685,X4688))),esk62_1(X4685)))) ),
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,
! [X4398,X4400,X4401] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk36_1(X4398)))
| ~ class_RealVector_Oreal__normed__algebra(X4398) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4398,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4398),X4400),X4401))),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(X4398,X4400)),c_RealVector_Onorm__class_Onorm(X4398,X4401))),esk36_1(X4398))))
| ~ class_RealVector_Oreal__normed__algebra(X4398) ) ),
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,
! [X4312,X4314,X4315] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk29_1(X4312)))
| ~ class_RealVector_Oreal__normed__algebra(X4312) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4312,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4312),X4314),X4315))),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(X4312,X4314)),c_RealVector_Onorm__class_Onorm(X4312,X4315))),esk29_1(X4312))))
| ~ class_RealVector_Oreal__normed__algebra(X4312) ) ),
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(esk52_2(X2,X1)))),hAPP(X2,esk52_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,
! [X4275,X4276,X4277,X4278,X4279,X4280] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4280),X4279)),X4278) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4277),X4276)),X4275)
| ~ 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),X4277),X4276)),X4275)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4275),X4277))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4278))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4277))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4277),X4280))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4279),X4276)) ),
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,
! [X5199,X5200] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5200),X5199) = 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,X5200)),hAPP(c_Complex_ORe,X5199)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5200)),hAPP(c_Complex_OIm,X5199))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5200)),hAPP(c_Complex_OIm,X5199))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5200)),hAPP(c_Complex_ORe,X5199)))),
inference(variable_rename,[status(thm)],[fact_complex__mult__def]) ).
fof(i_0_1528,plain,
! [X3743,X3744,X3745] :
( ~ class_RealVector_Oreal__normed__algebra(X3745)
| ~ c_SEQ_Oconvergent(X3745,X3744)
| c_SEQ_Oconvergent(X3745,c_COMBB(X3745,X3745,tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(X3745),X3743),X3744)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Oconvergent])]) ).
fof(i_0_1529,plain,
! [X5495,X5496,X5497,X5498,X5499,X5500] : hAPP(c_COMBS(X5500,X5499,X5498,X5497,X5496),X5495) = hAPP(hAPP(X5497,X5495),hAPP(X5496,X5495)),
inference(variable_rename,[status(thm)],[help_c__COMBS__1]) ).
fof(i_0_1530,plain,
! [X5489,X5490,X5491,X5492,X5493,X5494] : hAPP(c_COMBC(X5494,X5493,X5492,X5491,X5490),X5489) = hAPP(hAPP(X5491,X5489),X5490),
inference(variable_rename,[status(thm)],[help_c__COMBC__1]) ).
fof(i_0_1531,plain,
! [X5483,X5484,X5485,X5486,X5487,X5488] : hAPP(c_COMBB(X5488,X5487,X5486,X5485,X5484),X5483) = hAPP(X5485,hAPP(X5484,X5483)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
fof(i_0_1532,plain,
! [X4158,X4159,X4160] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4160,c_Groups_Ozero__class_Ozero(X4160)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4160),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4160),X4159),X4159)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4160),X4158),X4158))))
| X4159 != c_Groups_Ozero__class_Ozero(X4160)
| X4158 != c_Groups_Ozero__class_Ozero(X4160)
| ~ class_Rings_Olinordered__ring__strict(X4160) )
& ( X4159 = c_Groups_Ozero__class_Ozero(X4160)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4160,c_Groups_Ozero__class_Ozero(X4160)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4160),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4160),X4159),X4159)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4160),X4158),X4158))))
| ~ class_Rings_Olinordered__ring__strict(X4160) )
& ( X4158 = c_Groups_Ozero__class_Ozero(X4160)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4160,c_Groups_Ozero__class_Ozero(X4160)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4160),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4160),X4159),X4159)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4160),X4158),X4158))))
| ~ class_Rings_Olinordered__ring__strict(X4160) ) ),
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,
! [X3507] :
( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X3507)
| c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,X3507)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Re_Oconvergent])]) ).
fof(i_0_1534,plain,
! [X3508] :
( ~ c_SEQ_Oconvergent(tc_Complex_Ocomplex,X3508)
| c_SEQ_Oconvergent(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_OIm,X3508)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Im_Oconvergent])]) ).
fof(i_0_1535,plain,
! [X4880,X4881,X4882] :
( ~ class_Groups_Oordered__ab__group__add__abs(X4882)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4882,c_Groups_Oabs__class_Oabs(X4882,c_Groups_Ominus__class_Ominus(X4882,c_Groups_Oabs__class_Oabs(X4882,X4881),c_Groups_Oabs__class_Oabs(X4882,X4880)))),c_Groups_Oabs__class_Oabs(X4882,c_Groups_Ominus__class_Ominus(X4882,X4881,X4880)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq3])]) ).
fof(i_0_1536,plain,
! [X5072,X5073] : 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),X5073),X5072)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5073))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5072))),
inference(variable_rename,[status(thm)],[fact_complex__mod__triangle__ineq2]) ).
fof(i_0_1537,plain,
! [X4704,X4705,X4706] :
( ~ class_RealVector_Oreal__normed__vector(X4706)
| 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(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__ineq3])]) ).
fof(i_0_1538,plain,
! [X4945,X4946,X4947,X4948] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,c_Groups_Ominus__class_Ominus(X4948,X4946,X4945)),X4947))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,c_Groups_Oabs__class_Oabs(X4948,c_Groups_Ominus__class_Ominus(X4948,X4947,X4946))),X4945))
| ~ class_Rings_Olinordered__idom(X4948) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,X4947),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4948),X4946),X4945)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,c_Groups_Oabs__class_Oabs(X4948,c_Groups_Ominus__class_Ominus(X4948,X4947,X4946))),X4945))
| ~ class_Rings_Olinordered__idom(X4948) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,c_Groups_Ominus__class_Ominus(X4948,X4946,X4945)),X4947))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,X4947),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4948),X4946),X4945)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4948,c_Groups_Oabs__class_Oabs(X4948,c_Groups_Ominus__class_Ominus(X4948,X4947,X4946))),X4945))
| ~ class_Rings_Olinordered__idom(X4948) ) ),
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,
! [X4888,X4889,X4890,X4891,X4892,X4893] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4893),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4893),X4892),X4891)),X4890) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4893),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4893),X4889),X4891)),X4888)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4893),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4893),c_Groups_Ominus__class_Ominus(X4893,X4892,X4889)),X4891)),X4890) = X4888
| ~ class_Rings_Oring(X4893) )
& ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4893),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4893),c_Groups_Ominus__class_Ominus(X4893,X4892,X4889)),X4891)),X4890) != X4888
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4893),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4893),X4892),X4891)),X4890) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4893),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4893),X4889),X4891)),X4888)
| ~ class_Rings_Oring(X4893) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff1])])]) ).
fof(i_0_1542,plain,
! [X4894,X4895,X4896,X4897,X4898,X4899] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4899),X4898),X4897)),X4896) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4899),X4895),X4897)),X4894)
| X4896 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4899),c_Groups_Ominus__class_Ominus(X4899,X4895,X4898)),X4897)),X4894)
| ~ class_Rings_Oring(X4899) )
& ( X4896 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4899),c_Groups_Ominus__class_Ominus(X4899,X4895,X4898)),X4897)),X4894)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4899),X4898),X4897)),X4896) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4899),X4895),X4897)),X4894)
| ~ class_Rings_Oring(X4899) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff2])])]) ).
fof(i_0_1543,plain,
! [X4987,X4988,X4989,X4990,X4991] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4990),X4989)),X4988) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4991),X4989)),X4987)
| 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,X4990,X4991)),X4989)),X4988) = X4987
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4991),X4990)) )
& ( 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,X4990,X4991)),X4989)),X4988) != X4987
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4990),X4989)),X4988) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4991),X4989)),X4987)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4991),X4990)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__eq__add__iff1])])]) ).
fof(i_0_1544,plain,
! [X5002,X5003,X5004,X5005,X5006] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5006),X5004)),X5003) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5005),X5004)),X5002)
| X5003 = 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,X5005,X5006)),X5004)),X5002)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5006),X5005)) )
& ( X5003 != 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,X5005,X5006)),X5004)),X5002)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5006),X5004)),X5003) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5005),X5004)),X5002)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5006),X5005)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__eq__add__iff2])])]) ).
fof(i_0_1545,plain,
! [X5201,X5202,X5203,X5205] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(X5201,X5202,X5203)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5202),X5201))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5203),X5202)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5203),X5205))
| ~ 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,X5202,X5205))),esk68_3(X5201,X5202,X5203)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5202),X5201))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5203),X5202)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5205),X5201))
| ~ 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,X5202,X5205))),esk68_3(X5201,X5202,X5203)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5202),X5201))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5203),X5202)) ) ),
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,
! [X5402,X5403] : 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,X5403)),c_RealDef_Oreal(tc_Nat_Onat,X5402)),c_RealDef_Oreal(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5403,X5402))))),
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,
! [X3338,X3339] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3339)),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),X3339),X3338))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3338)))),
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,esk51_2(X2,X1))),hAPP(X2,c_Nat_OSuc(esk51_2(X2,X1)))))
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1284]) ).
fof(i_0_1555,plain,
! [X3892,X3893,X3894,X3895,X3896] :
( ~ class_Rings_Olinordered__idom(X3896)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3896,c_Groups_Oabs__class_Oabs(X3896,X3895)),X3894))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3896,c_Groups_Oabs__class_Oabs(X3896,X3893)),X3892))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3896,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3896),c_Groups_Oabs__class_Oabs(X3896,X3895)),c_Groups_Oabs__class_Oabs(X3896,X3893))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3896),X3894),X3892))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__less])]) ).
fof(i_0_1556,plain,
! [X4264,X4265,X4266] :
( ~ 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),X4266),X4265)),X4264)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4264),X4266))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4266))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4265)) ),
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,
! [X3660,X3661,X3662,X3663,X3664] :
( ~ class_Rings_Osemiring(X3664)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3664),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3664),X3663),X3662)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3664),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3664),X3661),X3662)),X3660)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3664),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3664),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3664),X3663),X3661)),X3662)),X3660) ),
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,
! [X4148,X4149,X4150] :
( ~ class_Rings_Olinordered__semidom(X4150)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4150,c_Groups_Ozero__class_Ozero(X4150)),X4149))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4150,X4149),c_Groups_Oone__class_Oone(X4150)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4150,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4150),X4149),hAPP(hAPP(c_Power_Opower__class_Opower(X4150),X4149),X4148))),hAPP(hAPP(c_Power_Opower__class_Opower(X4150),X4149),X4148))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less])]) ).
fof(i_0_1564,plain,
! [X3592,X3593,X3594,X3595,X3596] :
( ~ class_RealVector_Oreal__normed__algebra(X3596)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3596,X3595)),X3594))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3596,X3593)),X3592))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3596,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3596),X3595),X3593))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3594),X3592))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult__less])]) ).
fof(i_0_1565,plain,
! [X3072,X3073,X3074,X3075,X3076] :
( ~ class_RealVector_Oreal__normed__vector(X3076)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3076,X3075)),X3074))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3076,X3073)),X3072))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3076,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3076),X3075),X3073))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3074),X3072))) ),
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,
! [X5503,X5504,X5505,X5506,X5507,X5508,X5509,X5510,X5511,X5512] :
( ( X5504 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| hBOOL(hAPP(X5505,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ epred1_3(X5505,X5504,X5503) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5504))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5507))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5507),X5504))
| X5503 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5504),X5506)),X5507)
| hBOOL(hAPP(X5505,X5506))
| ~ epred1_3(X5505,X5504,X5503) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5504),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5504),X5509))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5509),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| X5503 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5504),X5508)),X5509)
| hBOOL(hAPP(X5505,X5508))
| ~ epred1_3(X5505,X5504,X5503) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),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)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),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)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),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(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),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(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| X5511 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),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)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),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)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),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(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),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(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),esk74_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk74_3(X5510,X5511,X5512)),X5511))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk73_3(X5510,X5511,X5512))),esk74_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5511),esk76_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk76_3(X5510,X5511,X5512)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( X5510 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5511),esk75_3(X5510,X5511,X5512))),esk76_3(X5510,X5511,X5512))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) )
& ( ~ hBOOL(hAPP(X5512,esk75_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,esk73_3(X5510,X5511,X5512)))
| ~ hBOOL(hAPP(X5512,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| epred1_3(X5512,X5511,X5510) ) ),
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,
! [X4218,X4219,X4220,X4221] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4221),X4220)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4219),X4220)),X4218)) = 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),X4221),X4219)),X4220)),X4218),
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,
! [X4937,X4938,X4939] :
( ~ class_Groups_Oordered__ab__group__add__abs(X4939)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4939,c_Groups_Oabs__class_Oabs(X4939,c_Groups_Ominus__class_Ominus(X4939,X4938,X4937))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4939),c_Groups_Oabs__class_Oabs(X4939,X4938)),c_Groups_Oabs__class_Oabs(X4939,X4937)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq4])]) ).
fof(i_0_1574,plain,
! [X4231,X4232,X4233] :
( ~ class_Rings_Olinordered__ring(X4233)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4233,c_Groups_Ozero__class_Ozero(X4233)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4233),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4233),X4232),X4232)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4233),X4231),X4231)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__ge__zero])]) ).
fof(i_0_1575,plain,
! [X4949,X4950,X4951] :
( ~ class_RealVector_Oreal__normed__vector(X4951)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4951,c_Groups_Ominus__class_Ominus(X4951,X4950,X4949))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4951,X4950)),c_RealVector_Onorm__class_Onorm(X4951,X4949)))) ),
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,
! [X3204,X3205,X3206] :
( ~ class_Groups_Oordered__ab__group__add__abs(X3206)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3206,c_Groups_Oabs__class_Oabs(X3206,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3206),X3205),X3204))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3206),c_Groups_Oabs__class_Oabs(X3206,X3205)),c_Groups_Oabs__class_Oabs(X3206,X3204)))) ),
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,
! [X4681,X4682,X4684] :
( ~ class_RealVector_Oreal__normed__algebra(X4682)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4682,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4682),X4684),X4681))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4682,X4684)),esk61_2(X4681,X4682)))) ),
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,
! [X4406,X4407,X4409] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk38_2(X4406,X4407)))
| ~ class_RealVector_Oreal__normed__algebra(X4407) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4407,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4407),X4409),X4406))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4407,X4409)),esk38_2(X4406,X4407))))
| ~ class_RealVector_Oreal__normed__algebra(X4407) ) ),
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,
! [X4320,X4321,X4323] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk31_2(X4320,X4321)))
| ~ class_RealVector_Oreal__normed__algebra(X4321) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4321,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4321),X4323),X4320))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4321,X4323)),esk31_2(X4320,X4321))))
| ~ class_RealVector_Oreal__normed__algebra(X4321) ) ),
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,
! [X3589,X3590,X3591] :
( ~ class_RealVector_Oreal__normed__algebra(X3591)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3591,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3591),X3590),X3589))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3591,X3590)),c_RealVector_Onorm__class_Onorm(X3591,X3589)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult__ineq])]) ).
fof(i_0_1584,plain,
! [X4689,X4690,X4692] :
( ~ class_RealVector_Oreal__normed__algebra(X4690)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4690,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4690),X4689),X4692))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4690,X4692)),esk63_2(X4689,X4690)))) ),
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,
! [X4402,X4403,X4405] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk37_2(X4402,X4403)))
| ~ class_RealVector_Oreal__normed__algebra(X4403) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4403,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4403),X4402),X4405))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4403,X4405)),esk37_2(X4402,X4403))))
| ~ class_RealVector_Oreal__normed__algebra(X4403) ) ),
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,
! [X4316,X4317,X4319] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk30_2(X4316,X4317)))
| ~ class_RealVector_Oreal__normed__algebra(X4317) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4317,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4317),X4316),X4319))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X4317,X4319)),esk30_2(X4316,X4317))))
| ~ class_RealVector_Oreal__normed__algebra(X4317) ) ),
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,
! [X3069,X3070,X3071] :
( ~ class_RealVector_Oreal__normed__vector(X3071)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3071,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3071),X3070),X3069))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3071,X3070)),c_RealVector_Onorm__class_Onorm(X3071,X3069)))) ),
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,
! [X5410,X5411,X5412,X5413] :
( ~ class_Fields_Olinordered__field(X5413)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5413,X5412),X5411))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5413,c_Groups_Ozero__class_Ozero(X5413)),X5410))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5413,c_Groups_Ozero__class_Ozero(X5413)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5413),X5411),X5412)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5413,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5413),X5410),X5411)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5413),X5410),X5412))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__left__mono])]) ).
fof(i_0_1590,plain,
! [X4883,X4884,X4885,X4886,X4887] :
( ~ class_Rings_Oring(X4887)
| c_Groups_Ominus__class_Ominus(X4887,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4887),X4886),X4885),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4887),X4884),X4883)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4887),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4887),X4886),c_Groups_Ominus__class_Ominus(X4887,X4885,X4883))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4887),c_Groups_Ominus__class_Ominus(X4887,X4886,X4884)),X4883)) ),
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,
! [X5406,X5407,X5408,X5409] :
( ~ class_Fields_Olinordered__field__inverse__zero(X5409)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5409,X5408),X5407))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5409,X5406),c_Groups_Ozero__class_Ozero(X5409)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X5409,c_Groups_Ozero__class_Ozero(X5409)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5409),X5408),X5407)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X5409,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5409),X5406),X5408)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5409),X5406),X5407))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__left__mono__neg])]) ).
fof(i_0_1593,plain,
! [X5394,X5395] : 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,X5395,X5394))),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X5395)),c_RealDef_Oreal(tc_Nat_Onat,X5394)))),
inference(variable_rename,[status(thm)],[fact_real__of__nat__div4]) ).
fof(i_0_1594,plain,
! [X4360,X4361] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4361),X4360))
| 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,X4361)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,X4360))) )
& ( ~ 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,X4361)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,X4360)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4361),X4360)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__real__le])]) ).
fof(i_0_1595,plain,
! [X4849,X4850,X4851] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4850,X4851)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4849,X4851)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4850),X4849))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4851),X4849))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4851),X4850)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4850),X4849))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4850,X4851)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4849,X4851)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4851),X4849))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4851),X4850)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__iff])])]) ).
fof(i_0_1596,plain,
! [X4707,X4708,X4709] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4708,X4709)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4707,X4709)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4708),X4707))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4709),X4707))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4709),X4708)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4708),X4707))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4708,X4709)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4707,X4709)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4709),X4707))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4709),X4708)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__iff])])]) ).
fof(i_0_1597,plain,
! [X4877,X4878,X4879] :
( ~ class_Groups_Oordered__ab__group__add__abs(X4879)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4879,c_Groups_Ominus__class_Ominus(X4879,c_Groups_Oabs__class_Oabs(X4879,X4878),c_Groups_Oabs__class_Oabs(X4879,X4877))),c_Groups_Oabs__class_Oabs(X4879,c_Groups_Ominus__class_Ominus(X4879,X4878,X4877)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__triangle__ineq2])]) ).
fof(i_0_1598,plain,
! [X4874,X4875,X4876] :
( ~ class_Groups_Oordered__ab__group__add__abs(X4876)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4876,c_Groups_Ominus__class_Ominus(X4876,c_Groups_Oabs__class_Oabs(X4876,X4875),c_Groups_Oabs__class_Oabs(X4876,X4874))),c_Groups_Oabs__class_Oabs(X4876,c_Groups_Ominus__class_Ominus(X4876,X4874,X4875)))) ),
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,
! [X3586,X3587,X3588] :
( ~ class_RealVector_Oreal__normed__algebra__1(X3588)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3588,hAPP(hAPP(c_Power_Opower__class_Opower(X3588),X3587),X3586))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3588,X3587)),X3586))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__power__ineq])]) ).
fof(i_0_1601,plain,
! [X4750,X4751,X4752] :
( ~ class_RealVector_Oreal__normed__vector(X4752)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4752,X4751),c_RealVector_Onorm__class_Onorm(X4752,X4750))),c_RealVector_Onorm__class_Onorm(X4752,c_Groups_Ominus__class_Ominus(X4752,X4751,X4750)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__triangle__ineq2])]) ).
fof(i_0_1602,plain,
! [X5059,X5060,X5061] :
( ~ class_RealVector_Oreal__normed__vector(X5061)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X5061,X5060),c_RealVector_Onorm__class_Onorm(X5061,X5059))),c_RealVector_Onorm__class_Onorm(X5061,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5061),X5060),X5059)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__diff__ineq])]) ).
fof(i_0_1603,plain,
! [X3959,X3960,X3961,X3962] :
( ~ class_Rings_Olinordered__semiring(X3962)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3962,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3962),X3961),X3960)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3962),X3959),X3960)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3962,c_Groups_Ozero__class_Ozero(X3962)),X3960))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3962,X3961),X3959)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__less__imp__less])]) ).
fof(i_0_1604,plain,
! [X3963,X3964,X3965,X3966] :
( ~ class_Rings_Olinordered__semiring__strict(X3966)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3966,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3966),X3965),X3964)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3966),X3963),X3964)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3966,c_Groups_Ozero__class_Ozero(X3966)),X3964))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3966,X3965),X3963)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__imp__less__right])]) ).
fof(i_0_1605,plain,
! [X4117,X4118,X4119,X4120] :
( ~ class_Rings_Olinordered__semidom(X4120)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4120,hAPP(hAPP(c_Power_Opower__class_Opower(X4120),X4119),X4118)),hAPP(hAPP(c_Power_Opower__class_Opower(X4120),X4117),X4118)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4120,c_Groups_Ozero__class_Ozero(X4120)),X4117))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4120,X4119),X4117)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__base])]) ).
fof(i_0_1606,plain,
! [X3967,X3968,X3969,X3970] :
( ~ class_Rings_Olinordered__semiring(X3970)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3970,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3970),X3969),X3968)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3970),X3969),X3967)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3970,c_Groups_Ozero__class_Ozero(X3970)),X3969))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3970,X3968),X3967)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__less__imp__less])]) ).
fof(i_0_1607,plain,
! [X3971,X3972,X3973,X3974] :
( ~ class_Rings_Olinordered__semiring__strict(X3974)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3974,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3974),X3973),X3972)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3974),X3973),X3971)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3974,c_Groups_Ozero__class_Ozero(X3974)),X3973))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3974,X3972),X3971)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__imp__less__left])]) ).
fof(i_0_1608,plain,
! [X3826,X3827,X3828,X3829] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3829,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3829),X3828),X3827)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3829),X3828),X3826)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3829,X3827),X3826))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3829,c_Groups_Ozero__class_Ozero(X3829)),X3828))
| ~ class_Rings_Olinordered__ring__strict(X3829) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3829,X3827),X3826))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3829,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3829),X3828),X3827)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3829),X3828),X3826)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3829,c_Groups_Ozero__class_Ozero(X3829)),X3828))
| ~ class_Rings_Olinordered__ring__strict(X3829) ) ),
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,
! [X3975,X3976,X3977,X3978] :
( ~ class_Rings_Olinordered__semiring__strict(X3978)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3978,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3978),X3977),X3976)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3978),X3975),X3976)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3978,c_Groups_Ozero__class_Ozero(X3978)),X3976))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3978,X3977),X3975)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__le__imp__le])]) ).
fof(i_0_1610,plain,
! [X3979,X3980,X3981,X3982] :
( ~ class_Rings_Olinordered__semiring__strict(X3982)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3982,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3982),X3981),X3980)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3982),X3981),X3979)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3982,c_Groups_Ozero__class_Ozero(X3982)),X3981))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3982,X3980),X3979)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__le__imp__le])]) ).
fof(i_0_1611,plain,
! [X3931,X3932,X3933,X3934] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3934,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3934),X3933),X3932)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3934),X3933),X3931)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3934,X3932),X3931))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3934,c_Groups_Ozero__class_Ozero(X3934)),X3933))
| ~ class_Rings_Olinordered__ring__strict(X3934) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3934,X3932),X3931))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3934,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3934),X3933),X3932)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3934),X3933),X3931)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3934,c_Groups_Ozero__class_Ozero(X3934)),X3933))
| ~ class_Rings_Olinordered__ring__strict(X3934) ) ),
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,
! [X4140,X4141,X4142,X4143] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4143,hAPP(hAPP(c_Power_Opower__class_Opower(X4143),X4142),X4141)),hAPP(hAPP(c_Power_Opower__class_Opower(X4143),X4142),X4140)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4141),X4140))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4143,c_Groups_Oone__class_Oone(X4143)),X4142))
| ~ class_Rings_Olinordered__semidom(X4143) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4141),X4140))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4143,hAPP(hAPP(c_Power_Opower__class_Opower(X4143),X4142),X4141)),hAPP(hAPP(c_Power_Opower__class_Opower(X4143),X4142),X4140)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4143,c_Groups_Oone__class_Oone(X4143)),X4142))
| ~ class_Rings_Olinordered__semidom(X4143) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing__iff])])]) ).
fof(i_0_1613,plain,
! [X4136,X4137,X4138,X4139] :
( ~ class_Rings_Olinordered__semidom(X4139)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4139,c_Groups_Oone__class_Oone(X4139)),X4138))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4139,hAPP(hAPP(c_Power_Opower__class_Opower(X4139),X4138),X4137)),hAPP(hAPP(c_Power_Opower__class_Opower(X4139),X4138),X4136)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4137),X4136)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__exp])]) ).
fof(i_0_1614,plain,
! [X4035,X4036,X4037,X4038] :
( ~ class_Rings_Olinordered__semidom(X4038)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4038,c_Groups_Oone__class_Oone(X4038)),X4037))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4038,hAPP(hAPP(c_Power_Opower__class_Opower(X4038),X4037),X4036)),hAPP(hAPP(c_Power_Opower__class_Opower(X4038),X4037),X4035)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4036),X4035)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__exp])]) ).
fof(i_0_1615,plain,
! [X4031,X4032,X4033,X4034] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4034,hAPP(hAPP(c_Power_Opower__class_Opower(X4034),X4033),X4032)),hAPP(hAPP(c_Power_Opower__class_Opower(X4034),X4033),X4031)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4032),X4031))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4034,c_Groups_Oone__class_Oone(X4034)),X4033))
| ~ class_Rings_Olinordered__semidom(X4034) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4032),X4031))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4034,hAPP(hAPP(c_Power_Opower__class_Opower(X4034),X4033),X4032)),hAPP(hAPP(c_Power_Opower__class_Opower(X4034),X4033),X4031)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4034,c_Groups_Oone__class_Oone(X4034)),X4033))
| ~ class_Rings_Olinordered__semidom(X4034) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing__iff])])]) ).
fof(i_0_1616,plain,
! [X3845,X3846,X3847,X3848] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3848,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3846)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3845)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3848,X3845),X3846))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3848,X3847),c_Groups_Ozero__class_Ozero(X3848)))
| ~ class_Rings_Olinordered__ring__strict(X3848) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3848,X3845),X3846))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3848,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3846)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3848),X3847),X3845)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3848,X3847),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_mult__less__cancel__left__neg])])]) ).
fof(i_0_1617,plain,
! [X3935,X3936,X3937,X3938] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3938,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3938),X3937),X3936)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3938),X3937),X3935)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3938,X3935),X3936))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3938,X3937),c_Groups_Ozero__class_Ozero(X3938)))
| ~ class_Rings_Olinordered__ring__strict(X3938) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3938,X3935),X3936))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3938,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3938),X3937),X3936)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3938),X3937),X3935)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3938,X3937),c_Groups_Ozero__class_Ozero(X3938)))
| ~ class_Rings_Olinordered__ring__strict(X3938) ) ),
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,
! [X3822,X3823,X3824,X3825] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3824),c_Groups_Ozero__class_Ozero(X3825)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,c_Groups_Ozero__class_Ozero(X3825)),X3824))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3823)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3822)))
| ~ class_Rings_Olinordered__ring__strict(X3825) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3822),X3823))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,c_Groups_Ozero__class_Ozero(X3825)),X3824))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3823)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3822)))
| ~ class_Rings_Olinordered__ring__strict(X3825) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3824),c_Groups_Ozero__class_Ozero(X3825)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3823),X3822))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3823)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3822)))
| ~ class_Rings_Olinordered__ring__strict(X3825) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3822),X3823))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3823),X3822))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3823)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3822)))
| ~ class_Rings_Olinordered__ring__strict(X3825) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,c_Groups_Ozero__class_Ozero(X3825)),X3824))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3823),X3822))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3823)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3822)))
| ~ class_Rings_Olinordered__ring__strict(X3825) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3824),c_Groups_Ozero__class_Ozero(X3825)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,X3822),X3823))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3825,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3823)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3825),X3824),X3822)))
| ~ class_Rings_Olinordered__ring__strict(X3825) ) ),
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,
! [X3818,X3819,X3820,X3821] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3819),c_Groups_Ozero__class_Ozero(X3821)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,c_Groups_Ozero__class_Ozero(X3821)),X3819))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3820),X3819)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3818),X3819)))
| ~ class_Rings_Olinordered__ring__strict(X3821) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3818),X3820))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,c_Groups_Ozero__class_Ozero(X3821)),X3819))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3820),X3819)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3818),X3819)))
| ~ class_Rings_Olinordered__ring__strict(X3821) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3819),c_Groups_Ozero__class_Ozero(X3821)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3820),X3818))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3820),X3819)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3818),X3819)))
| ~ class_Rings_Olinordered__ring__strict(X3821) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3818),X3820))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3820),X3818))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3820),X3819)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3818),X3819)))
| ~ class_Rings_Olinordered__ring__strict(X3821) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,c_Groups_Ozero__class_Ozero(X3821)),X3819))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3820),X3818))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3820),X3819)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3818),X3819)))
| ~ class_Rings_Olinordered__ring__strict(X3821) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3819),c_Groups_Ozero__class_Ozero(X3821)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,X3818),X3820))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3821,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3820),X3819)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3821),X3818),X3819)))
| ~ class_Rings_Olinordered__ring__strict(X3821) ) ),
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,
! [X3087] : ~ 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,X3087)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X3087)),
inference(variable_rename,[status(thm)],[i_0_1308]) ).
fof(i_0_1621,plain,
! [X3939,X3940,X3941,X3942,X3943] :
( ~ class_Rings_Olinordered__semiring__strict(X3943)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3943,X3942),X3941))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3943,X3940),X3939))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3943,c_Groups_Ozero__class_Ozero(X3943)),X3941))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3943,c_Groups_Ozero__class_Ozero(X3943)),X3940))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3943,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3943),X3942),X3940)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3943),X3941),X3939))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__mono])]) ).
fof(i_0_1622,plain,
! [X3944,X3945,X3946,X3947,X3948] :
( ~ class_Rings_Olinordered__semiring__strict(X3948)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3948,X3947),X3946))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3948,X3945),X3944))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3948,c_Groups_Ozero__class_Ozero(X3948)),X3947))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3948,c_Groups_Ozero__class_Ozero(X3948)),X3945))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3948,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3948),X3947),X3945)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3948),X3946),X3944))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__mono_H])]) ).
fof(i_0_1623,plain,
! [X3954,X3955,X3956,X3957,X3958] :
( ~ class_Rings_Olinordered__semiring__strict(X3958)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3958,X3957),X3956))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3958,X3955),X3954))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3958,c_Groups_Ozero__class_Ozero(X3958)),X3957))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3958,c_Groups_Ozero__class_Ozero(X3958)),X3955))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3958,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3958),X3957),X3955)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3958),X3956),X3954))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__less__imp__less])]) ).
fof(i_0_1624,plain,
! [X3949,X3950,X3951,X3952,X3953] :
( ~ class_Rings_Olinordered__semiring__strict(X3953)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3953,X3952),X3951))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3953,X3950),X3949))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3953,c_Groups_Ozero__class_Ozero(X3953)),X3952))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3953,c_Groups_Ozero__class_Ozero(X3953)),X3950))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3953,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3953),X3952),X3950)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3953),X3951),X3949))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__le__imp__less])]) ).
fof(i_0_1625,plain,
! [X3800,X3801,X3802,X3803,X3804] :
( ~ class_Rings_Oordered__semiring(X3804)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3804,X3803),X3802))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3804,X3801),X3800))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3804,c_Groups_Ozero__class_Ozero(X3804)),X3803))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3804,c_Groups_Ozero__class_Ozero(X3804)),X3801))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3804,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3804),X3803),X3801)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3804),X3802),X3800))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono_H])]) ).
fof(i_0_1626,plain,
! [X3805,X3806,X3807,X3808,X3809] :
( ~ class_Rings_Oordered__semiring(X3809)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3809,X3808),X3807))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3809,X3806),X3805))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3809,c_Groups_Ozero__class_Ozero(X3809)),X3807))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3809,c_Groups_Ozero__class_Ozero(X3809)),X3806))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3809,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3809),X3808),X3806)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3809),X3807),X3805))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono])]) ).
fof(i_0_1627,plain,
! [X5037] :
( ( 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(X5037),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X5037))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5037)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X5037),c_RealDef_Oreal(tc_Nat_Onat,esk66_1(X5037))))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5037)) ) ),
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,
! [X4124,X4125,X4126] :
( ~ class_Rings_Olinordered__semidom(X4126)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4126,c_Groups_Oone__class_Oone(X4126)),X4125))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4126,hAPP(hAPP(c_Power_Opower__class_Opower(X4126),X4125),X4124)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4126),X4125),hAPP(hAPP(c_Power_Opower__class_Opower(X4126),X4125),X4124)))) ),
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(esk56_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(esk54_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,
! [X3538,X3539] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3539))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3538))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(X3539)),c_RComplete_Onatfloor(X3538))),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3539),X3538)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__mult__natfloor])]) ).
fof(i_0_1632,plain,
! [X5270,X5271,X5272,X5273] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X5273,X5272)),c_Complex_Ocomplex_OComplex(X5271,X5270)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5273),X5271),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5272),X5270)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5273),X5270)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5272),X5271))),
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,esk53_1(X1))),hAPP(X1,c_Nat_OSuc(esk53_1(X1))))) ),
inference(split_conjunct,[status(thm)],[i_0_1309]) ).
fof(i_0_1634,plain,
! [X4065,X4066,X4067] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4067))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4067),X4066)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4067),X4065)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4066),X4065)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__power__less__imp__less])]) ).
fof(i_0_1635,plain,
! [X4228,X4229,X4230] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4230),X4229)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4230),X4228)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4229),X4228))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4230)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4229),X4228))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4230),X4229)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4230),X4228)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4230)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__less__cancel1])])]) ).
fof(i_0_1636,plain,
! [X3911,X3912,X3913] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3912),X3913)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3911),X3913)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3912),X3911))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3913)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3912),X3911))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3912),X3913)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3911),X3913)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3913)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__less__iff1])])]) ).
fof(i_0_1637,plain,
! [X4004,X4005,X4006] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4006),X4005)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4004),X4005)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4005))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4006),X4004)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4005))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4006),X4005)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4004),X4005))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4006),X4004))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4006),X4005)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4004),X4005))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel2])])]) ).
fof(i_0_1638,plain,
! [X4155,X4156,X4157] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4157),X4156)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4157),X4155)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4156),X4155))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4157)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4156),X4155))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4157),X4156)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4157),X4155)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4157)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__le__cancel1])])]) ).
fof(i_0_1639,plain,
! [X4001,X4002,X4003] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4003),X4002)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4003),X4001)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4003))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4002),X4001)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4003))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4003),X4002)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4003),X4001))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4002),X4001))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4003),X4002)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4003),X4001))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel1])])]) ).
fof(i_0_1640,plain,
! [X3995,X3996,X3997] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3996),X3997)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3995),X3997)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3996),X3995))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3997)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3996),X3995))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3996),X3997)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3995),X3997)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3997)) ) ),
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,
! [X3998,X3999,X4000] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4000),X3999)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4000),X3998)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3999),X3998))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4000)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3999),X3998))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4000),X3999)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4000),X3998)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4000)) ) ),
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,
! [X3148,X3149,X3150,X3151] :
( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3151)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3151,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3151),X3150),X3149)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3151),X3148),X3149)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3151,X3150),X3148)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__right])]) ).
fof(i_0_1643,plain,
! [X3127,X3128,X3129,X3130] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3130,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3130),X3129),X3128)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3130),X3127),X3128)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3130,X3129),X3127))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3130) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3130,X3129),X3127))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3130,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3130),X3129),X3128)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3130),X3127),X3128)))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3130) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__right])])]) ).
fof(i_0_1644,plain,
! [X3152,X3153,X3154,X3155] :
( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3155)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3155,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3155),X3154),X3153)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3155),X3154),X3152)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3155,X3153),X3152)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__left])]) ).
fof(i_0_1645,plain,
! [X3131,X3132,X3133,X3134] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3134,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3134),X3133),X3132)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3134),X3133),X3131)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3134,X3132),X3131))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3134) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3134,X3132),X3131))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3134,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3134),X3133),X3132)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3134),X3133),X3131)))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3134) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__left])])]) ).
fof(i_0_1646,plain,
! [X3119,X3120,X3121,X3122] :
( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3122)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3122,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3122),X3121),X3120)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3122),X3119),X3120)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3122,X3121),X3119)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__right])]) ).
fof(i_0_1647,plain,
! [X3098,X3099,X3100,X3101] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3101,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3101),X3100),X3099)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3101),X3098),X3099)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3101,X3100),X3098))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3101) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3101,X3100),X3098))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3101,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3101),X3100),X3099)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3101),X3098),X3099)))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3101) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__right])])]) ).
fof(i_0_1648,plain,
! [X3123,X3124,X3125,X3126] :
( ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3126)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3126,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3126),X3125),X3124)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3126),X3125),X3123)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3126,X3124),X3123)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__left])]) ).
fof(i_0_1649,plain,
! [X3102,X3103,X3104,X3105] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3105,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3105),X3104),X3103)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3105),X3104),X3102)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3105,X3103),X3102))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3105) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3105,X3103),X3102))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3105,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3105),X3104),X3103)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3105),X3104),X3102)))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__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,
! [X3626,X3627,X3628,X3629,X3630] :
( ( X3629 = X3628
| X3627 = X3626
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3630),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3627)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3628),X3626)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3630),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3626)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3628),X3627))
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3630) )
& ( X3629 != X3628
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3630),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3627)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3628),X3626)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3630),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3626)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3628),X3627))
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3630) )
& ( X3627 != X3626
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3630),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3627)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3628),X3626)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3630),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3629),X3626)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3630),X3628),X3627))
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3630) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_crossproduct__noteq])])]) ).
fof(i_0_1653,plain,
! [X3639,X3640,X3641,X3642,X3643] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3643),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3642),X3641)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3640),X3639)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3643),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3642),X3639)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3640),X3641))
| X3642 = X3640
| X3641 = X3639
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3643) )
& ( X3642 != X3640
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3643),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3642),X3641)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3640),X3639)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3643),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3642),X3639)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3640),X3641))
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3643) )
& ( X3641 != X3639
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3643),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3642),X3641)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3640),X3639)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3643),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3642),X3639)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3643),X3640),X3641))
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3643) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_crossproduct__eq])])]) ).
fof(i_0_1654,plain,
! [X4024,X4025,X4026,X4027] :
( ~ class_Rings_Olinordered__semidom(X4027)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4027,X4026),X4025))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4027,c_Groups_Ozero__class_Ozero(X4027)),X4026))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4024))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4027,hAPP(hAPP(c_Power_Opower__class_Opower(X4027),X4026),X4024)),hAPP(hAPP(c_Power_Opower__class_Opower(X4027),X4025),X4024))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__mono])]) ).
fof(i_0_1655,plain,
! [X4151,X4152,X4153,X4154] :
( ~ class_Rings_Olinordered__semidom(X4154)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4153),X4152))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4154,c_Groups_Ozero__class_Ozero(X4154)),X4151))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4154,X4151),c_Groups_Oone__class_Oone(X4154)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4154,hAPP(hAPP(c_Power_Opower__class_Opower(X4154),X4151),X4152)),hAPP(hAPP(c_Power_Opower__class_Opower(X4154),X4151),X4153))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__decreasing])]) ).
fof(i_0_1656,plain,
! [X4039,X4040,X4041,X4042] :
( ~ class_Rings_Olinordered__semidom(X4042)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4041),X4040))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4042,c_Groups_Ozero__class_Ozero(X4042)),X4039))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4042,X4039),c_Groups_Oone__class_Oone(X4042)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4042,hAPP(hAPP(c_Power_Opower__class_Opower(X4042),X4039),X4040)),hAPP(hAPP(c_Power_Opower__class_Opower(X4042),X4039),X4041))) ),
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,
! [X5167,X5168,X5169] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(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)),X5168))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5168),X5167))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5169,X5167)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5169,X5168))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2])]) ).
fof(i_0_1661,plain,
! [X4832,X4833,X4834] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4832),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4833,X4834)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4832),X4834)),X4833))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4834),X4833)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4832),X4834)),X4833))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4832),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4833,X4834)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4834),X4833)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__conv2])])]) ).
fof(i_0_1662,plain,
! [X5156,X5157,X5158] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5158),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)),X5157))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5157),X5156))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5158,X5157)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5158,X5156))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono2__neg])]) ).
fof(i_0_1663,plain,
! [X4676] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4676))
| 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)),X4676))),X4676)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__add__one__self__le__self])]) ).
fof(i_0_1664,plain,
! [X3899,X3900,X3901] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3901))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3901),X3900)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3901),X3899))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3900),X3899))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3901),X3900)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3901),X3899))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3901))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3900),X3899))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3901),X3900)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3901),X3899))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel1])])]) ).
fof(i_0_1665,plain,
! [X3902,X3903,X3904] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3903))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3904),X3903)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3902),X3903))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3904),X3902))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3904),X3903)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3902),X3903))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3903))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3904),X3902))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3904),X3903)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3902),X3903))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel2])])]) ).
fof(i_0_1666,plain,
! [X5260,X5261,X5262,X5263,X5264,X5265,X5266,X5267] :
( ( X5260 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(X5262,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ hBOOL(hAPP(X5262,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5261,X5260))) )
& ( X5260 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5264),X5260))
| X5261 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5260),X5263)),X5264)
| hBOOL(hAPP(X5262,X5263))
| ~ hBOOL(hAPP(X5262,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5261,X5260))) )
& ( X5265 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X5265 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk70_3(X5265,X5266,X5267)),X5265))
| X5265 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( X5266 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5265),esk69_3(X5265,X5266,X5267))),esk70_3(X5265,X5266,X5267))
| X5265 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( ~ hBOOL(hAPP(X5267,esk69_3(X5265,X5266,X5267)))
| X5265 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( X5265 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ hBOOL(hAPP(X5267,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk70_3(X5265,X5266,X5267)),X5265))
| ~ hBOOL(hAPP(X5267,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( X5266 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5265),esk69_3(X5265,X5266,X5267))),esk70_3(X5265,X5266,X5267))
| ~ hBOOL(hAPP(X5267,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) )
& ( ~ hBOOL(hAPP(X5267,esk69_3(X5265,X5266,X5267)))
| ~ hBOOL(hAPP(X5267,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X5267,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5266,X5265))) ) ),
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,
! [X3318,X3319,X3320] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3320),X3319)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3320),X3318)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3319),X3318)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3319),X3318))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3320),X3319)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3320),X3318))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__less])]) ).
fof(i_0_1668,plain,
! [X3258,X3259,X3260] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3260),X3259)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3260),X3258)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3259),X3258)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3259),X3258))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3260),X3259)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3260),X3258))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__le])]) ).
fof(i_0_1669,plain,
! [X4821,X4822,X4823] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4823,X4822)),X4821))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4823),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4821),X4822))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4823),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4821),X4822)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4823,X4822)),X4821)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__diff__conv])]) ).
fof(i_0_1670,plain,
! [X4324,X4325] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4325)),X4324))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4324),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4325)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| c_RComplete_Onatceiling(X4324) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4325),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,
! [X3762,X3763,X3764] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,X3763),c_Groups_Ozero__class_Ozero(X3764)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,c_Groups_Ozero__class_Ozero(X3764)),X3763))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3764),X3763),X3762)),c_Groups_Ozero__class_Ozero(X3764)))
| ~ class_Rings_Olinordered__ring__strict(X3764) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,c_Groups_Ozero__class_Ozero(X3764)),X3762))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,c_Groups_Ozero__class_Ozero(X3764)),X3763))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3764),X3763),X3762)),c_Groups_Ozero__class_Ozero(X3764)))
| ~ class_Rings_Olinordered__ring__strict(X3764) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,X3763),c_Groups_Ozero__class_Ozero(X3764)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,X3762),c_Groups_Ozero__class_Ozero(X3764)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3764),X3763),X3762)),c_Groups_Ozero__class_Ozero(X3764)))
| ~ class_Rings_Olinordered__ring__strict(X3764) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,c_Groups_Ozero__class_Ozero(X3764)),X3762))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,X3762),c_Groups_Ozero__class_Ozero(X3764)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3764),X3763),X3762)),c_Groups_Ozero__class_Ozero(X3764)))
| ~ class_Rings_Olinordered__ring__strict(X3764) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,c_Groups_Ozero__class_Ozero(X3764)),X3763))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,X3762),c_Groups_Ozero__class_Ozero(X3764)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3764),X3763),X3762)),c_Groups_Ozero__class_Ozero(X3764)))
| ~ class_Rings_Olinordered__ring__strict(X3764) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,X3763),c_Groups_Ozero__class_Ozero(X3764)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,c_Groups_Ozero__class_Ozero(X3764)),X3762))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3764,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3764),X3763),X3762)),c_Groups_Ozero__class_Ozero(X3764)))
| ~ class_Rings_Olinordered__ring__strict(X3764) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__0__iff])])]) ).
fof(i_0_1672,plain,
! [X5144,X5145] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5144,X5145)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5144),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)),X5145)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5144),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,X5144,X5145)),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)),X5145)) ) ),
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,
! [X3855,X3856,X3857,X3858] :
( ~ class_Rings_Olinordered__semiring__strict(X3858)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3858,X3857),X3856))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3858,c_Groups_Ozero__class_Ozero(X3858)),X3855))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3858,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3858),X3857),X3855)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3858),X3856),X3855))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono])]) ).
fof(i_0_1674,plain,
! [X3863,X3864,X3865,X3866] :
( ~ class_Rings_Olinordered__comm__semiring__strict(X3866)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3866,X3865),X3864))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3866,c_Groups_Ozero__class_Ozero(X3866)),X3863))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3866,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3866),X3863),X3865)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3866),X3863),X3864))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__strict__left__mono])]) ).
fof(i_0_1675,plain,
! [X3859,X3860,X3861,X3862] :
( ~ class_Rings_Olinordered__semiring__strict(X3862)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3862,X3861),X3860))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3862,c_Groups_Ozero__class_Ozero(X3862)),X3859))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3862,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3862),X3859),X3861)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3862),X3859),X3860))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono])]) ).
fof(i_0_1676,plain,
! [X4091,X4092,X4093,X4094] :
( ~ class_Rings_Olinordered__semidom(X4094)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4094,X4093),X4092))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4094,c_Groups_Ozero__class_Ozero(X4094)),X4093))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4094,hAPP(hAPP(c_Power_Opower__class_Opower(X4094),X4093),X4091)),hAPP(hAPP(c_Power_Opower__class_Opower(X4094),X4092),X4091))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mono])]) ).
fof(i_0_1677,plain,
! [X3780,X3781,X3782,X3783] :
( ~ class_Rings_Oordered__semiring(X3783)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3783,X3782),X3781))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3783,c_Groups_Ozero__class_Ozero(X3783)),X3780))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3783,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3783),X3782),X3780)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3783),X3781),X3780))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono])]) ).
fof(i_0_1678,plain,
! [X3788,X3789,X3790,X3791] :
( ~ class_Rings_Oordered__comm__semiring(X3791)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3791,X3790),X3789))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3791,c_Groups_Ozero__class_Ozero(X3791)),X3788))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3791,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3791),X3788),X3790)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3791),X3788),X3789))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__left__mono])]) ).
fof(i_0_1679,plain,
! [X3784,X3785,X3786,X3787] :
( ~ class_Rings_Oordered__semiring(X3787)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3787,X3786),X3785))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3787,c_Groups_Ozero__class_Ozero(X3787)),X3784))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3787,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3787),X3784),X3786)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3787),X3784),X3785))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono])]) ).
fof(i_0_1680,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,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5142))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),X5142))
| 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,X5143),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,
! [X4373,X4374] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X4374)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4373))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4374),c_RealDef_Oreal(tc_Nat_Onat,X4373))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ge__natfloor__plus__one__imp__gt])]) ).
fof(i_0_1682,plain,
! [X4430,X4431] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4430))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4431),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,esk47_2(X4430,X4431))),X4430))) ),
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,
! [X4132,X4133,X4134,X4135] :
( ~ class_Rings_Olinordered__semidom(X4135)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4134),X4133))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4135,c_Groups_Oone__class_Oone(X4135)),X4132))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4135,hAPP(hAPP(c_Power_Opower__class_Opower(X4135),X4132),X4134)),hAPP(hAPP(c_Power_Opower__class_Opower(X4135),X4132),X4133))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing])]) ).
fof(i_0_1684,plain,
! [X4144,X4145,X4146,X4147] :
( ~ class_Rings_Olinordered__semidom(X4147)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4146),X4145))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4147,c_Groups_Oone__class_Oone(X4147)),X4144))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4147,hAPP(hAPP(c_Power_Opower__class_Opower(X4147),X4144),X4146)),hAPP(hAPP(c_Power_Opower__class_Opower(X4147),X4144),X4145))) ),
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,
! [X3983,X3984,X3985] :
( ~ class_Rings_Olinordered__idom(X3985)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3985,c_Groups_Ozero__class_Ozero(X3985)),X3984))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3985,c_Groups_Ozero__class_Ozero(X3985)),X3983))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3985,X3983),c_Groups_Oone__class_Oone(X3985)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3985,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3985),X3984),X3983)),X3984)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__le__one__le])]) ).
fof(i_0_1689,plain,
! [X3986,X3987,X3988] :
( ~ class_Rings_Olinordered__idom(X3988)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3988,c_Groups_Ozero__class_Ozero(X3988)),X3987))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3988,c_Groups_Ozero__class_Ozero(X3988)),X3986))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3988,X3986),c_Groups_Oone__class_Oone(X3988)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3988,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3988),X3986),X3987)),X3987)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__le__one__le])]) ).
fof(i_0_1690,plain,
! [X3867,X3868,X3869,X3870] :
( ~ class_Rings_Olinordered__ring__strict(X3870)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3870,X3869),X3868))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3870,X3867),c_Groups_Ozero__class_Ozero(X3870)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3870,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3870),X3868),X3867)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3870),X3869),X3867))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono__neg])]) ).
fof(i_0_1691,plain,
! [X3871,X3872,X3873,X3874] :
( ~ class_Rings_Olinordered__ring__strict(X3874)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3874,X3873),X3872))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3874,X3871),c_Groups_Ozero__class_Ozero(X3874)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3874,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3874),X3871),X3872)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3874),X3871),X3873))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono__neg])]) ).
fof(i_0_1692,plain,
! [X3792,X3793,X3794,X3795] :
( ~ class_Rings_Oordered__ring(X3795)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3795,X3794),X3793))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3795,X3792),c_Groups_Ozero__class_Ozero(X3795)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3795,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3795),X3793),X3792)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3795),X3794),X3792))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono__neg])]) ).
fof(i_0_1693,plain,
! [X3796,X3797,X3798,X3799] :
( ~ class_Rings_Oordered__ring(X3799)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3799,X3798),X3797))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3799,X3796),c_Groups_Ozero__class_Ozero(X3799)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3799,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3799),X3796),X3797)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3799),X3796),X3798))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono__neg])]) ).
fof(i_0_1694,plain,
! [X4375,X4376] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4376)),X4375))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4375),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4376)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| c_RComplete_Onatfloor(X4375) = X4376 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__eq])]) ).
fof(i_0_1695,plain,
! [X4855,X4856,X4857] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4857),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4856,X4855)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4857),X4855)),X4856)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4857),X4855)),X4856))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4857),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4856,X4855))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__conv])]) ).
fof(i_0_1696,plain,
! [X3143,X3144,X3145,X3146,X3147] :
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3147)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3147,X3146),X3145))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3147,X3144),X3143))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3147,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3147),X3146),X3144)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3147),X3145),X3143))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__mono])]) ).
fof(i_0_1697,plain,
! [X3199,X3200,X3201,X3202,X3203] :
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3203)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3203,X3202),X3201))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3203,X3200),X3199))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3203,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3203),X3202),X3200)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3203),X3201),X3199))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__less__mono])]) ).
fof(i_0_1698,plain,
! [X3194,X3195,X3196,X3197,X3198] :
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3198)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3198,X3197),X3196))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3198,X3195),X3194))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3198,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3198),X3197),X3195)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3198),X3196),X3194))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__le__mono])]) ).
fof(i_0_1699,plain,
! [X3114,X3115,X3116,X3117,X3118] :
( ~ class_Groups_Oordered__ab__semigroup__add(X3118)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3118,X3117),X3116))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3118,X3115),X3114))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3118,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3118),X3117),X3115)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3118),X3116),X3114))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__mono])]) ).
fof(i_0_1700,plain,
! [X5151,X5152,X5153] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5153),X5152))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5151))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5153,X5151)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5152,X5151))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__mono1])]) ).
fof(i_0_1701,plain,
! [X5229,X5230,X5231] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5231))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5231),X5230))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5229,X5230)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5229,X5231))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__le__mono2])]) ).
fof(i_0_1702,plain,
! [X5148,X5149,X5150] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5150),X5149))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5148),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,X5149,X5148)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5150,X5148))) ),
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,
! [X4852,X4853,X4854] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4854),X4853))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4852),X4854))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4854,X4852)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4853,X4852))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono])]) ).
fof(i_0_1706,plain,
! [X4767,X4768,X4769] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4769),X4768))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4769),X4767))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4767,X4768)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4767,X4769))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono2])]) ).
fof(i_0_1707,plain,
! [X4362,X4363] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4363),X4362))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4363)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4362)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4363)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4362)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4363),X4362)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__le__real__less])]) ).
fof(i_0_1708,plain,
! [X3572,X3573,X3574,X3575,X3576] :
( ~ class_Rings_Ocomm__semiring__1(X3576)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),X3575),X3574)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),X3573),X3572)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),X3573),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3576),X3575),X3574)),X3572)) ),
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,
! [X5192,X5193,X5194,X5195] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5194))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5194))
| X5194 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5195,X5194) = X5193
| X5195 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5194),X5193)),X5192) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5194),X5192))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5192),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)),X5194))
| X5194 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5195,X5194) = X5193
| X5195 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5194),X5193)),X5192) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5194))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5192))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5192),X5194))
| X5194 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5195,X5194) = X5193
| X5195 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5194),X5193)),X5192) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5194),X5192))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5192),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)),X5192))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5192),X5194))
| X5194 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5195,X5194) = X5193
| X5195 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5194),X5193)),X5192) ) ),
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,
! [X4905,X4906,X4907] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4907,X4906),X4905))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4907,c_Groups_Ominus__class_Ominus(X4907,X4906,X4905)),c_Groups_Ozero__class_Ozero(X4907)))
| ~ class_Groups_Oordered__ab__group__add(X4907) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4907,c_Groups_Ominus__class_Ominus(X4907,X4906,X4905)),c_Groups_Ozero__class_Ozero(X4907)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4907,X4906),X4905))
| ~ class_Groups_Oordered__ab__group__add(X4907) ) ),
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,
! [X4908,X4909,X4910] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4910,X4909),X4908))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4910,c_Groups_Ominus__class_Ominus(X4910,X4909,X4908)),c_Groups_Ozero__class_Ozero(X4910)))
| ~ class_Groups_Oordered__ab__group__add(X4910) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4910,c_Groups_Ominus__class_Ominus(X4910,X4909,X4908)),c_Groups_Ozero__class_Ozero(X4910)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4910,X4909),X4908))
| ~ class_Groups_Oordered__ab__group__add(X4910) ) ),
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,
! [X3030] : 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,X3030)))),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,
! [X4121,X4122,X4123] :
( ~ class_Rings_Olinordered__semidom(X4123)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4123,c_Groups_Oone__class_Oone(X4123)),X4122))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4123,c_Groups_Oone__class_Oone(X4123)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4123),X4122),hAPP(hAPP(c_Power_Opower__class_Opower(X4123),X4122),X4121)))) ),
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,
! [X4693,X4694,X4695] :
( ~ class_Groups_Omonoid__mult(X4695)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4694))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4695),hAPP(hAPP(c_Power_Opower__class_Opower(X4695),X4693),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4694,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X4693) = hAPP(hAPP(c_Power_Opower__class_Opower(X4695),X4693),X4694) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__minus__mult])]) ).
fof(i_0_1718,plain,
! [X3238,X3239] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3239,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3239),X3238),X3238)),c_Groups_Ozero__class_Ozero(X3239)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3239,X3238),c_Groups_Ozero__class_Ozero(X3239)))
| ~ class_Rings_Olinordered__idom(X3239) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3239,X3238),c_Groups_Ozero__class_Ozero(X3239)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3239,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3239),X3238),X3238)),c_Groups_Ozero__class_Ozero(X3239)))
| ~ class_Rings_Olinordered__idom(X3239) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_even__less__0__iff])])]) ).
fof(i_0_1719,plain,
! [X3186,X3187] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3187,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3187),X3186),X3186)),c_Groups_Ozero__class_Ozero(X3187)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3187,X3186),c_Groups_Ozero__class_Ozero(X3187)))
| ~ class_Groups_Olinordered__ab__group__add(X3187) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3187,X3186),c_Groups_Ozero__class_Ozero(X3187)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3187,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3187),X3186),X3186)),c_Groups_Ozero__class_Ozero(X3187)))
| ~ class_Groups_Olinordered__ab__group__add(X3187) ) ),
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_1720,plain,
! [X3165,X3166] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3166,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3166),X3165),X3165)),c_Groups_Ozero__class_Ozero(X3166)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3166,X3165),c_Groups_Ozero__class_Ozero(X3166)))
| ~ class_Groups_Olinordered__ab__group__add(X3166) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3166,X3165),c_Groups_Ozero__class_Ozero(X3166)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3166,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3166),X3165),X3165)),c_Groups_Ozero__class_Ozero(X3166)))
| ~ class_Groups_Olinordered__ab__group__add(X3166) ) ),
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,
! [X3397,X3398,X3399,X3400] :
( ( ~ c_SEQ_Oincseq(X3398,X3397)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3399),X3400))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3398,hAPP(X3397,X3399)),hAPP(X3397,X3400)))
| ~ class_Orderings_Oorder(X3398) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk15_2(X3397,X3398)),esk16_2(X3397,X3398)))
| c_SEQ_Oincseq(X3398,X3397)
| ~ class_Orderings_Oorder(X3398) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3398,hAPP(X3397,esk15_2(X3397,X3398))),hAPP(X3397,esk16_2(X3397,X3398))))
| c_SEQ_Oincseq(X3398,X3397)
| ~ class_Orderings_Oorder(X3398) ) ),
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,
! [X3378,X3379,X3380,X3381] :
( ( ~ c_SEQ_Odecseq(X3379,X3378)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3380),X3381))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3379,hAPP(X3378,X3381)),hAPP(X3378,X3380)))
| ~ class_Orderings_Oorder(X3379) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk11_2(X3378,X3379)),esk12_2(X3378,X3379)))
| c_SEQ_Odecseq(X3379,X3378)
| ~ class_Orderings_Oorder(X3379) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3379,hAPP(X3378,esk12_2(X3378,X3379))),hAPP(X3378,esk11_2(X3378,X3379))))
| c_SEQ_Odecseq(X3379,X3378)
| ~ class_Orderings_Oorder(X3379) ) ),
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,
! [X3077,X3078,X3079,X3080,X3081,X3082] :
( ( ~ c_SEQ_Omonoseq(X3078,X3077)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3079),X3080))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3078,hAPP(X3077,X3079)),hAPP(X3077,X3080)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3081),X3082))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3078,hAPP(X3077,X3082)),hAPP(X3077,X3081)))
| ~ class_Orderings_Oorder(X3078) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk5_2(X3077,X3078)),esk6_2(X3077,X3078)))
| c_SEQ_Omonoseq(X3078,X3077)
| ~ class_Orderings_Oorder(X3078) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3078,hAPP(X3077,esk5_2(X3077,X3078))),hAPP(X3077,esk6_2(X3077,X3078))))
| c_SEQ_Omonoseq(X3078,X3077)
| ~ class_Orderings_Oorder(X3078) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk7_2(X3077,X3078)),esk8_2(X3077,X3078)))
| c_SEQ_Omonoseq(X3078,X3077)
| ~ class_Orderings_Oorder(X3078) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3078,hAPP(X3077,esk8_2(X3077,X3078))),hAPP(X3077,esk7_2(X3077,X3078))))
| c_SEQ_Omonoseq(X3078,X3077)
| ~ class_Orderings_Oorder(X3078) ) ),
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,
! [X4175,X4176,X4177] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4177),X4176))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4175))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4175),X4177)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4175),X4176))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmult__zless__mono2])]) ).
fof(i_0_1725,plain,
! [X3905,X3906,X3907] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3907),X3906))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3905))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3907),X3905)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3906),X3905))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__mono1])]) ).
fof(i_0_1726,plain,
! [X3908,X3909,X3910] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3910),X3909))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3908))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3908),X3910)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3908),X3909))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__mono2])]) ).
fof(i_0_1727,plain,
! [X3916,X3917,X3918] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3918))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3917),X3916))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3918),X3917)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3918),X3916))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__less__mono2])]) ).
fof(i_0_1728,plain,
! [X4018,X4019,X4020,X4021] :
( ~ class_RealVector_Oreal__normed__vector(X4021)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4020),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X4021,X4019)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4020),c_RealVector_Onorm__class_Onorm(X4021,X4018))))
| X4019 = c_Groups_Ozero__class_Ozero(X4021) ),
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,
! [X5055,X5056] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5056),X5055))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5056,X5055)),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,X5056,X5055)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5056),X5055)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__bin__lemma])]) ).
fof(i_0_1734,plain,
! [X5057,X5058] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5058),X5057))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5058,X5057)),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,X5058,X5057)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5058),X5057)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__eq__diff])]) ).
fof(i_0_1735,plain,
! [X4201,X4202,X4203,X4204] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4204),X4203))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4202),X4201))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4204),X4202)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4203),X4201))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__zless__mono])]) ).
fof(i_0_1736,plain,
! [X3305,X3306,X3307,X3308] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3308),X3307))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3306),X3305))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3308),X3306)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3307),X3305))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono])]) ).
fof(i_0_1737,plain,
! [X3710,X3711,X3712,X3713] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3713),X3712))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3711),X3710))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3713),X3711)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3712),X3710))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__mono])]) ).
fof(i_0_1738,plain,
! [X3277,X3278,X3279,X3280] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3280),X3279))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3278),X3277))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3280),X3278)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3279),X3277))) ),
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,
! [X3135,X3136,X3137,X3138] :
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3138)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3138,X3137),X3136))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3138,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3138),X3137),X3135)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3138),X3136),X3135))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__right__mono])]) ).
fof(i_0_1741,plain,
! [X3139,X3140,X3141,X3142] :
( ~ class_Groups_Oordered__cancel__ab__semigroup__add(X3142)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3142,X3141),X3140))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3142,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3142),X3139),X3141)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3142),X3139),X3140))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__left__mono])]) ).
fof(i_0_1742,plain,
! [X3106,X3107,X3108,X3109] :
( ~ class_Groups_Oordered__ab__semigroup__add(X3109)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3109,X3108),X3107))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3109,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3109),X3108),X3106)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3109),X3107),X3106))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__mono])]) ).
fof(i_0_1743,plain,
! [X3110,X3111,X3112,X3113] :
( ~ class_Groups_Oordered__ab__semigroup__add(X3113)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3113,X3112),X3111))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3113,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3113),X3110),X3112)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3113),X3110),X3111))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__mono])]) ).
fof(i_0_1744,plain,
! [X3741,X3742] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X3742),X3741)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X3742)),hAPP(c_Complex_OIm,X3741))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X3742)),hAPP(c_Complex_ORe,X3741))),
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,
! [X3849,X3850,X3851] :
( ~ class_Rings_Olinordered__semiring__strict(X3851)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3851,X3850),c_Groups_Ozero__class_Ozero(X3851)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3851,c_Groups_Ozero__class_Ozero(X3851)),X3849))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3851,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3851),X3850),X3849)),c_Groups_Ozero__class_Ozero(X3851))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__pos])]) ).
fof(i_0_1747,plain,
! [X3833,X3834,X3835] :
( ~ class_Rings_Olinordered__semiring__strict(X3835)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3835,c_Groups_Ozero__class_Ozero(X3835)),X3834))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3835,X3833),c_Groups_Ozero__class_Ozero(X3835)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3835,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3835),X3834),X3833)),c_Groups_Ozero__class_Ozero(X3835))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg])]) ).
fof(i_0_1748,plain,
! [X3836,X3837,X3838] :
( ~ class_Rings_Olinordered__semiring__strict(X3838)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3838,c_Groups_Ozero__class_Ozero(X3838)),X3837))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3838,X3836),c_Groups_Ozero__class_Ozero(X3838)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3838,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3838),X3836),X3837)),c_Groups_Ozero__class_Ozero(X3838))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg2])]) ).
fof(i_0_1749,plain,
! [X3813,X3814,X3815] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3815,c_Groups_Ozero__class_Ozero(X3815)),X3814))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3815,X3813),c_Groups_Ozero__class_Ozero(X3815)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3815,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3815),X3814),X3813)),c_Groups_Ozero__class_Ozero(X3815)))
| ~ class_Rings_Oordered__cancel__semiring(X3815) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3815,X3814),c_Groups_Ozero__class_Ozero(X3815)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3815,c_Groups_Ozero__class_Ozero(X3815)),X3813))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3815,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3815),X3814),X3813)),c_Groups_Ozero__class_Ozero(X3815)))
| ~ class_Rings_Oordered__cancel__semiring(X3815) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__neg__le])])]) ).
fof(i_0_1750,plain,
! [X3774,X3775,X3776] :
( ~ class_Rings_Oordered__cancel__semiring(X3776)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3776,X3775),c_Groups_Ozero__class_Ozero(X3776)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3776,c_Groups_Ozero__class_Ozero(X3776)),X3774))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3776,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3776),X3775),X3774)),c_Groups_Ozero__class_Ozero(X3776))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonneg])]) ).
fof(i_0_1751,plain,
! [X3768,X3769,X3770] :
( ~ class_Rings_Oordered__cancel__semiring(X3770)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3770,c_Groups_Ozero__class_Ozero(X3770)),X3769))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3770,X3768),c_Groups_Ozero__class_Ozero(X3770)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3770,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3770),X3769),X3768)),c_Groups_Ozero__class_Ozero(X3770))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos])]) ).
fof(i_0_1752,plain,
! [X3771,X3772,X3773] :
( ~ class_Rings_Oordered__cancel__semiring(X3773)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3773,c_Groups_Ozero__class_Ozero(X3773)),X3772))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3773,X3771),c_Groups_Ozero__class_Ozero(X3773)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3773,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3773),X3771),X3772)),c_Groups_Ozero__class_Ozero(X3773))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos2])]) ).
fof(i_0_1753,plain,
! [X4007,X4008,X4009] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4009),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,X4008)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4009),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4007))))
| X4008 = 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,
! [X5209,X5210,X5211] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5211),X5210))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5211,X5209)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5210,X5209))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__le__mono])]) ).
fof(i_0_1755,plain,
! [X4718,X4719,X4720] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4720),X4719))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4720,X4718)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4719,X4718))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__le__mono])]) ).
fof(i_0_1756,plain,
! [X4721,X4722,X4723] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4723),X4722))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4721,X4722)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4721,X4723))) ),
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,
! [X3191,X3192,X3193] :
( ~ class_Groups_Oordered__comm__monoid__add(X3193)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3193,X3192),c_Groups_Ozero__class_Ozero(X3193)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3193,X3191),c_Groups_Ozero__class_Ozero(X3193)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3193,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3193),X3192),X3191)),c_Groups_Ozero__class_Ozero(X3193))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__neg])]) ).
fof(i_0_1759,plain,
! [X3224,X3225,X3226] :
( ~ class_Groups_Oordered__comm__monoid__add(X3226)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3226,X3225),c_Groups_Ozero__class_Ozero(X3226)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3226,X3224),c_Groups_Ozero__class_Ozero(X3226)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3226,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3226),X3225),X3224)),c_Groups_Ozero__class_Ozero(X3226))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__neg])]) ).
fof(i_0_1760,plain,
! [X3221,X3222,X3223] :
( ~ class_Groups_Oordered__comm__monoid__add(X3223)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3223,X3222),c_Groups_Ozero__class_Ozero(X3223)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3223,X3221),c_Groups_Ozero__class_Ozero(X3223)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3223,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3223),X3222),X3221)),c_Groups_Ozero__class_Ozero(X3223))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__nonpos])]) ).
fof(i_0_1761,plain,
! [X3181,X3182,X3183] :
( ~ class_Groups_Oordered__comm__monoid__add(X3183)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3183,X3182),c_Groups_Ozero__class_Ozero(X3183)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3183,X3181),c_Groups_Ozero__class_Ozero(X3183)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3183,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3183),X3182),X3181)),c_Groups_Ozero__class_Ozero(X3183))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__nonpos])]) ).
fof(i_0_1762,plain,
! [X4193,X4194] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4194),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4193))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4194),X4193)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4194),X4193))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4194),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4193)) ) ),
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,
! [X3816,X3817] :
( ~ class_Rings_Olinordered__ring(X3817)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3817,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3817),X3816),X3816)),c_Groups_Ozero__class_Ozero(X3817))) ),
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,
! [X3842,X3843,X3844] :
( ~ class_Rings_Olinordered__semiring__strict(X3844)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3844,c_Groups_Ozero__class_Ozero(X3844)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3844),X3843),X3842)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3844,c_Groups_Ozero__class_Ozero(X3844)),X3842))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3844,c_Groups_Ozero__class_Ozero(X3844)),X3843)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos2])]) ).
fof(i_0_1774,plain,
! [X3839,X3840,X3841] :
( ~ class_Rings_Olinordered__semiring__strict(X3841)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3841,c_Groups_Ozero__class_Ozero(X3841)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3841),X3840),X3839)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3841,c_Groups_Ozero__class_Ozero(X3841)),X3840))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3841,c_Groups_Ozero__class_Ozero(X3841)),X3839)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos])]) ).
fof(i_0_1775,plain,
! [X5107,X5108] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5108))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X5107))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5108,X5107)),X5108)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__div__less__self])]) ).
fof(i_0_1776,plain,
! [X5220,X5221] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X5221))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5220))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5220,X5221)),X5220)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__less__dividend])]) ).
fof(i_0_1777,plain,
! [X4870,X4871] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4871))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4870))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4870,X4871)),X4870)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less])]) ).
fof(i_0_1778,plain,
! [X5140,X5141] :
( ~ 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,X5141,X5140)),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,
! [X5165,X5166] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5166))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5165),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,X5166,X5165)),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,
! [X5159,X5160] :
( ~ 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,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5159))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5160,X5159)),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,
! [X4824,X4825,X4826] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4826),X4825))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4824),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4825),X4824),X4826))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff])]) ).
fof(i_0_1782,plain,
! [X3298,X3299,X3300] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3300),X3299)),X3298))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3300),X3298)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__lessD1])]) ).
fof(i_0_1783,plain,
! [X3287,X3288,X3289] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3289),X3287))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3289),X3288)),X3287)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3288),X3287))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3289),X3288)),X3287)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1338])])]) ).
fof(i_0_1784,plain,
! [X3284,X3285,X3286] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3286),X3285)),X3284))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3286),X3284)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__leD1])]) ).
fof(i_0_1785,plain,
! [X3281,X3282,X3283] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3283),X3282)),X3281))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3282),X3281)) ),
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(esk58_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,
! [X4205,X4206,X4207] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4207),X4206))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4207),X4205)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4206),X4205))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__strict__right__mono])]) ).
fof(i_0_1789,plain,
! [X3309,X3310,X3311] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3311),X3310))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3311),X3309)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3310),X3309))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono1])]) ).
fof(i_0_1790,plain,
! [X4245,X4246,X4247] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4247),X4246))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4245),X4247)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4245),X4246))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__left__mono])]) ).
fof(i_0_1791,plain,
! [X3717,X3718,X3719] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3719),X3718))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3719),X3717)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3718),X3717))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__mono1])]) ).
fof(i_0_1792,plain,
! [X3714,X3715,X3716] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3716),X3715))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3714),X3716)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3714),X3715))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__mono2])]) ).
fof(i_0_1793,plain,
! [X3269,X3270,X3271] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3271),X3270))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3271),X3269)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3270),X3269))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__mono1])]) ).
fof(i_0_1794,plain,
! [X3156,X3157,X3158] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3158),X3157))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3156),X3158)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3156),X3157))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])]) ).
fof(i_0_1795,plain,
! [X3577,X3578,X3579,X3580,X3581] :
( ~ class_Rings_Ocomm__semiring__1(X3581)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3581),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3581),X3580),X3579)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3581),X3578),X3577)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3581),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3581),X3580),X3578)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3581),X3579),X3577)) ),
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,
! [X3429,X3430,X3431,X3432,X3433] :
( ~ class_Rings_Ocomm__semiring__1(X3433)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3433),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3433),X3432),X3431)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3433),X3430),X3429)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3433),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3433),X3432),X3430)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3433),X3431),X3429)) ),
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,
! [X3567,X3568,X3569,X3570,X3571] :
( ~ class_Rings_Ocomm__semiring__1(X3571)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3571),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3571),X3570),X3569)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3571),X3568),X3567)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3571),X3570),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3571),X3569),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3571),X3568),X3567))) ),
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,
! [X4060,X4061] :
( ( ~ 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,X4061)),X4060)))
| X4061 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| X4060 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X4061 = 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,X4061)),X4060))) )
& ( X4060 != 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,X4061)),X4060))) ) ),
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,
! [X4329] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X4329))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4329)),esk33_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Re_Obounded])]) ).
fof(i_0_1801,plain,
! [X4306] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk28_0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X4306))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4306)),esk28_0))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Re_Ononneg__bounded])])]) ).
fof(i_0_1802,plain,
! [X4302] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk26_0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X4302))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4302)),esk26_0))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Re_Opos__bounded])])]) ).
fof(i_0_1803,plain,
! [X4327] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X4327))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4327)),esk32_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Im_Obounded])]) ).
fof(i_0_1804,plain,
! [X4304] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk27_0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X4304))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4304)),esk27_0))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_Im_Ononneg__bounded])])]) ).
fof(i_0_1805,plain,
! [X4300] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk25_0))
& hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X4300))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X4300)),esk25_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,
! [X4963,X4964,X4965,X4966,X4967,X4968,X4969] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4964),X4963))
| hBOOL(hAPP(X4965,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ 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),X4966)
| hBOOL(hAPP(X4965,X4966))
| ~ hBOOL(hAPP(X4965,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4964,X4963))) )
& ( X4968 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4967),esk65_3(X4967,X4968,X4969))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4968),X4967))
| hBOOL(hAPP(X4969,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4968,X4967))) )
& ( ~ hBOOL(hAPP(X4969,esk65_3(X4967,X4968,X4969)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4968),X4967))
| hBOOL(hAPP(X4969,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4968,X4967))) )
& ( X4968 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4967),esk65_3(X4967,X4968,X4969))
| ~ hBOOL(hAPP(X4969,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X4969,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4968,X4967))) )
& ( ~ hBOOL(hAPP(X4969,esk65_3(X4967,X4968,X4969)))
| ~ hBOOL(hAPP(X4969,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X4969,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4968,X4967))) ) ),
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,
! [X4955,X4956,X4957,X4958,X4959,X4960,X4961] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4956),X4955))
| hBOOL(hAPP(X4957,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ 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),X4958)
| hBOOL(hAPP(X4957,X4958))
| ~ hBOOL(hAPP(X4957,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4956,X4955))) )
& ( X4960 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4959),esk64_3(X4959,X4960,X4961))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4960),X4959))
| hBOOL(hAPP(X4961,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4960,X4959))) )
& ( ~ hBOOL(hAPP(X4961,esk64_3(X4959,X4960,X4961)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4960),X4959))
| 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),esk64_3(X4959,X4960,X4961))
| ~ hBOOL(hAPP(X4961,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X4961,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4960,X4959))) )
& ( ~ hBOOL(hAPP(X4961,esk64_3(X4959,X4960,X4961)))
| ~ hBOOL(hAPP(X4961,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| hBOOL(hAPP(X4961,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4960,X4959))) ) ),
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,
! [X3759,X3760,X3761] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3760),c_Groups_Ozero__class_Ozero(X3761)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),X3760))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)))
| ~ class_Rings_Olinordered__ring__strict(X3761) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3759),c_Groups_Ozero__class_Ozero(X3761)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),X3760))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)))
| ~ class_Rings_Olinordered__ring__strict(X3761) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3760),c_Groups_Ozero__class_Ozero(X3761)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),X3759))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)))
| ~ class_Rings_Olinordered__ring__strict(X3761) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3759),c_Groups_Ozero__class_Ozero(X3761)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),X3759))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)))
| ~ class_Rings_Olinordered__ring__strict(X3761) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),X3760))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),X3759))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)))
| ~ class_Rings_Olinordered__ring__strict(X3761) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3760),c_Groups_Ozero__class_Ozero(X3761)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,X3759),c_Groups_Ozero__class_Ozero(X3761)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3761,c_Groups_Ozero__class_Ozero(X3761)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3761),X3760),X3759)))
| ~ class_Rings_Olinordered__ring__strict(X3761) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__mult__iff])])]) ).
fof(i_0_1810,plain,
! [X5170,X5171] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5170),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,X5170)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5171)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(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)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5171,X5170)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5171)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5170),X5171))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(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)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5171,X5170)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5171)) ) ),
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,
! [X5174,X5175] :
( ( ~ 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,X5174,X5175)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5174))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5175)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(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)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5174,X5175)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5175)) ) ),
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,
! [X3323,X3324] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3324),X3323)),X3324)),
inference(variable_rename,[status(thm)],[i_0_1344]) ).
fof(i_0_1813,plain,
! [X3321,X3322] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3322),X3321)),X3321)),
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,
! [X5172,X5173] :
( ( ~ 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,X5172,X5173)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5173),X5172))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5173)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5173),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,X5172,X5173)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5173)) ) ),
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,
! [X5161,X5162] :
( ( ~ 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,X5161,X5162)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5161),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5162),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5161),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,X5161,X5162)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5162),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,
! [X3040,X3041,X3042,X3043] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3042,X3043),X3041),X3040))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3042,X3043),X3041),X3040))
| ~ class_Orderings_Oord(X3043) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3042,X3043),X3040),X3041))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3042,X3043),X3041),X3040))
| ~ class_Orderings_Oord(X3043) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3042,X3043),X3041),X3040))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3042,X3043),X3040),X3041))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(X3042,X3043),X3041),X3040))
| ~ class_Orderings_Oord(X3043) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1347])])]) ).
fof(i_0_1818,plain,
! [X3881,X3882,X3883] :
( ~ class_Rings_Olinordered__semidom(X3883)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3883,c_Groups_Oone__class_Oone(X3883)),X3882))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3883,c_Groups_Oone__class_Oone(X3883)),X3881))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3883,c_Groups_Oone__class_Oone(X3883)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3883),X3882),X3881))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__1__mult])]) ).
fof(i_0_1819,plain,
! [X3830,X3831,X3832] :
( ~ class_Rings_Olinordered__semiring__strict(X3832)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3832,c_Groups_Ozero__class_Ozero(X3832)),X3831))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3832,c_Groups_Ozero__class_Ozero(X3832)),X3830))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3832,c_Groups_Ozero__class_Ozero(X3832)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3832),X3831),X3830))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__pos])]) ).
fof(i_0_1820,plain,
! [X3188,X3189,X3190] :
( ~ class_Groups_Oordered__comm__monoid__add(X3190)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3190,c_Groups_Ozero__class_Ozero(X3190)),X3189))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3190,c_Groups_Ozero__class_Ozero(X3190)),X3188))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3190,c_Groups_Ozero__class_Ozero(X3190)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3190),X3189),X3188))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__pos])]) ).
fof(i_0_1821,plain,
! [X3210,X3211,X3212] :
( ~ class_Groups_Oordered__comm__monoid__add(X3212)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3212,c_Groups_Ozero__class_Ozero(X3212)),X3211))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3212,c_Groups_Ozero__class_Ozero(X3212)),X3210))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3212,c_Groups_Ozero__class_Ozero(X3212)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3212),X3211),X3210))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__pos])]) ).
fof(i_0_1822,plain,
! [X3207,X3208,X3209] :
( ~ class_Groups_Oordered__comm__monoid__add(X3209)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3209,c_Groups_Ozero__class_Ozero(X3209)),X3208))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3209,c_Groups_Ozero__class_Ozero(X3209)),X3207))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3209,c_Groups_Ozero__class_Ozero(X3209)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3209),X3208),X3207))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__nonneg])]) ).
fof(i_0_1823,plain,
! [X3810,X3811,X3812] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3812,c_Groups_Ozero__class_Ozero(X3812)),X3811))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3812,c_Groups_Ozero__class_Ozero(X3812)),X3810))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3812,c_Groups_Ozero__class_Ozero(X3812)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3812),X3811),X3810)))
| ~ class_Rings_Oordered__ring(X3812) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3812,X3811),c_Groups_Ozero__class_Ozero(X3812)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3812,X3810),c_Groups_Ozero__class_Ozero(X3812)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3812,c_Groups_Ozero__class_Ozero(X3812)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3812),X3811),X3810)))
| ~ class_Rings_Oordered__ring(X3812) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__pos__le])])]) ).
fof(i_0_1824,plain,
! [X3765,X3766,X3767] :
( ~ class_Rings_Oordered__cancel__semiring(X3767)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3767,c_Groups_Ozero__class_Ozero(X3767)),X3766))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3767,c_Groups_Ozero__class_Ozero(X3767)),X3765))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3767,c_Groups_Ozero__class_Ozero(X3767)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3767),X3766),X3765))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonneg])]) ).
fof(i_0_1825,plain,
! [X3167,X3168,X3169] :
( ~ class_Groups_Oordered__comm__monoid__add(X3169)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3169,c_Groups_Ozero__class_Ozero(X3169)),X3168))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3169,c_Groups_Ozero__class_Ozero(X3169)),X3167))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3169,c_Groups_Ozero__class_Ozero(X3169)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3169),X3168),X3167))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__nonneg])]) ).
fof(i_0_1826,plain,
! [X4043,X4044,X4045,X4046] :
( ~ class_Rings_Olinordered__semidom(X4046)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4046),X4045),X4044) != hAPP(hAPP(c_Power_Opower__class_Opower(X4046),X4043),X4044)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4046,c_Groups_Ozero__class_Ozero(X4046)),X4045))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4046,c_Groups_Ozero__class_Ozero(X4046)),X4043))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4044))
| X4045 = X4043 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__imp__eq__base])]) ).
fof(i_0_1827,plain,
! [X5396,X5397,X5398,X5399] :
( ~ class_Fields_Ofield(X5399)
| X5398 = c_Groups_Ozero__class_Ozero(X5399)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5397),X5396))
| hAPP(hAPP(c_Power_Opower__class_Opower(X5399),X5398),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5396,X5397)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5399),hAPP(hAPP(c_Power_Opower__class_Opower(X5399),X5398),X5396)),hAPP(hAPP(c_Power_Opower__class_Opower(X5399),X5398),X5397)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__diff])]) ).
fof(i_0_1828,plain,
! [X5102,X5103,X5104,X5105,X5106] :
( ~ class_Groups_Oab__group__add(X5106)
| c_Groups_Ominus__class_Ominus(X5106,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5106),X5105),X5104),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5106),X5103),X5102)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5106),c_Groups_Ominus__class_Ominus(X5106,X5105,X5103)),c_Groups_Ominus__class_Ominus(X5106,X5104,X5102)) ),
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,
! [X5348,X5349,X5350,X5351] :
( ~ class_Fields_Ofield(X5351)
| X5350 = c_Groups_Ozero__class_Ozero(X5351)
| hAPP(hAPP(c_Power_Opower__class_Opower(X5351),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5351),X5349),X5350)),X5348) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5351),hAPP(hAPP(c_Power_Opower__class_Opower(X5351),X5349),X5348)),hAPP(hAPP(c_Power_Opower__class_Opower(X5351),X5350),X5348)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__power__divide])]) ).
fof(i_0_1833,plain,
! [X5030,X5031] :
( ( X5031 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5031),X5030) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X5031 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5031),X5030) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X5030),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5031,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X5030)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__if])]) ).
fof(i_0_1834,plain,
! [X4028,X4029,X4030] :
( ~ class_Rings_Olinordered__semidom(X4030)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4030,c_Groups_Oone__class_Oone(X4030)),X4029))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4028))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4030,c_Groups_Oone__class_Oone(X4030)),hAPP(hAPP(c_Power_Opower__class_Opower(X4030),X4029),X4028))) ),
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,
! [X3635,X3636,X3637,X3638] :
( ~ class_Rings_Ocomm__semiring__1(X3638)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3638),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3638),X3637),X3636)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3638),X3635),X3636)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3638),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3638),X3637),X3635)),X3636) ),
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,
! [X5316,X5317,X5318,X5319] :
( ~ class_RealVector_Oreal__normed__field(X5319)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5319),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5319),X5318),X5317)),X5316) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5319),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5319),X5318),X5316)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5319),X5317),X5316)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Oadd])]) ).
fof(i_0_1838,plain,
! [X5320,X5321,X5322,X5323] :
( ~ class_Rings_Odivision__ring(X5323)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5323),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5323),X5322),X5321)),X5320) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5323),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5323),X5322),X5320)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5323),X5321),X5320)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__divide__distrib])]) ).
fof(i_0_1839,plain,
! [X5310,X5311,X5312,X5313] :
( ~ class_Fields_Ofield__inverse__zero(X5313)
| hAPP(hAPP(c_Power_Opower__class_Opower(X5313),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5313),X5312),X5311)),X5310) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5313),hAPP(hAPP(c_Power_Opower__class_Opower(X5313),X5312),X5310)),hAPP(hAPP(c_Power_Opower__class_Opower(X5313),X5311),X5310)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__divide])]) ).
fof(i_0_1840,plain,
! [X4080,X4081,X4082,X4083] :
( ~ class_Groups_Ocomm__monoid__mult(X4083)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4083),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4083),X4082),X4081)),X4080) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4083),hAPP(hAPP(c_Power_Opower__class_Opower(X4083),X4082),X4080)),hAPP(hAPP(c_Power_Opower__class_Opower(X4083),X4081),X4080)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mult__distrib])]) ).
fof(i_0_1841,plain,
! [X3563,X3564,X3565,X3566] :
( ~ class_Rings_Ocomm__semiring__1(X3566)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3566),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3566),X3565),X3564)),X3563) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3566),hAPP(hAPP(c_Power_Opower__class_Opower(X3566),X3565),X3563)),hAPP(hAPP(c_Power_Opower__class_Opower(X3566),X3564),X3563)) ),
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,
! [X3665,X3666,X3667,X3668] :
( ~ class_Rings_Ocomm__semiring(X3668)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3668),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3668),X3667),X3666)),X3665) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3668),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3668),X3667),X3665)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3668),X3666),X3665)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__class_Odistrib])]) ).
fof(i_0_1843,plain,
! [X3648,X3649,X3650,X3651] :
( ~ class_RealVector_Oreal__normed__algebra(X3651)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3651),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3651),X3650),X3649)),X3648) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3651),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3651),X3650),X3648)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3651),X3649),X3648)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__left])]) ).
fof(i_0_1844,plain,
! [X3644,X3645,X3646,X3647] :
( ~ class_RealVector_Oreal__normed__algebra(X3647)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3647),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3647),X3646),X3645)),X3644) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3647),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3647),X3646),X3644)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3647),X3645),X3644)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Oadd])]) ).
fof(i_0_1845,plain,
! [X3631,X3632,X3633,X3634] :
( ~ class_Rings_Ocomm__semiring__1(X3634)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3634),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3634),X3633),X3632)),X3631) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3634),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3634),X3633),X3631)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3634),X3632),X3631)) ),
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,
! [X3720] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3720),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3720),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3720),X3720)))),
inference(variable_rename,[status(thm)],[fact_le__cube]) ).
fof(i_0_1847,plain,
! [X3852,X3853,X3854] :
( ~ class_Rings_Olinordered__ring__strict(X3854)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3854,X3853),c_Groups_Ozero__class_Ozero(X3854)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3854,X3852),c_Groups_Ozero__class_Ozero(X3854)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3854,c_Groups_Ozero__class_Ozero(X3854)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3854),X3853),X3852))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__neg])]) ).
fof(i_0_1848,plain,
! [X3777,X3778,X3779] :
( ~ class_Rings_Oordered__ring(X3779)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3779,X3778),c_Groups_Ozero__class_Ozero(X3779)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3779,X3777),c_Groups_Ozero__class_Ozero(X3779)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3779,c_Groups_Ozero__class_Ozero(X3779)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3779),X3778),X3777))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonpos])]) ).
fof(i_0_1849,plain,
! [X4764,X4765,X4766] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4766),X4765))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4766,X4764)),X4765)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__diff__less])]) ).
fof(i_0_1850,plain,
! [X5085,X5086] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X5086),X5085)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5086)),hAPP(c_Complex_ORe,X5085)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5086)),hAPP(c_Complex_OIm,X5085))),
inference(variable_rename,[status(thm)],[fact_complex__Re__mult]) ).
cnf(i_0_1851,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk48_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,
! [X3184,X3185] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3185,c_Groups_Ozero__class_Ozero(X3185)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3185),X3184),X3184)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3185,c_Groups_Ozero__class_Ozero(X3185)),X3184))
| ~ class_Groups_Olinordered__ab__group__add(X3185) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3185,c_Groups_Ozero__class_Ozero(X3185)),X3184))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3185,c_Groups_Ozero__class_Ozero(X3185)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3185),X3184),X3184)))
| ~ class_Groups_Olinordered__ab__group__add(X3185) ) ),
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,
! [X3163,X3164] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3164,c_Groups_Ozero__class_Ozero(X3164)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3164),X3163),X3163)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3164,c_Groups_Ozero__class_Ozero(X3164)),X3163))
| ~ class_Groups_Olinordered__ab__group__add(X3164) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3164,c_Groups_Ozero__class_Ozero(X3164)),X3163))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3164,c_Groups_Ozero__class_Ozero(X3164)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3164),X3163),X3163)))
| ~ class_Groups_Olinordered__ab__group__add(X3164) ) ),
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,
! [X3329,X3330] :
( ( ~ 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),X3330),X3329)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3330))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3329)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3330))
| 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),X3330),X3329))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3329))
| 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),X3330),X3329))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__gr__0])])]) ).
fof(i_0_1856,plain,
! [X5343,X5344] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5344),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)),X5343))
| ~ 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),X5344),X5343))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5344))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5343),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),X5344),X5343))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5344))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5344),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),X5344),X5343))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5343),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5344),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),X5344),X5343))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5344))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5343))
| 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),X5344),X5343))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5343),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)),X5343))
| 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),X5344),X5343))) ) ),
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,
! [X3240,X3241,X3242,X3243] :
( ~ class_Rings_Olinordered__semidom(X3243)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3243,c_Groups_Ozero__class_Ozero(X3243)),X3242))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3243,X3241),X3240))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3243,X3241),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3243),X3242),X3240))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__add__strict])]) ).
fof(i_0_1858,plain,
! [X3217,X3218,X3219,X3220] :
( ~ class_Groups_Oordered__comm__monoid__add(X3220)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3220,c_Groups_Ozero__class_Ozero(X3220)),X3219))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3220,X3218),X3217))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3220,X3218),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3220),X3219),X3217))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing2])]) ).
fof(i_0_1859,plain,
! [X3213,X3214,X3215,X3216] :
( ~ class_Groups_Oordered__comm__monoid__add(X3216)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3216,c_Groups_Ozero__class_Ozero(X3216)),X3215))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3216,X3214),X3213))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3216,X3214),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3216),X3215),X3213))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing])]) ).
fof(i_0_1860,plain,
! [X3173,X3174,X3175,X3176] :
( ~ class_Groups_Oordered__comm__monoid__add(X3176)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3176,c_Groups_Ozero__class_Ozero(X3176)),X3175))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3176,X3174),X3173))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3176,X3174),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3176),X3175),X3173))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing])]) ).
fof(i_0_1861,plain,
! [X3177,X3178,X3179,X3180] :
( ~ class_Groups_Oordered__comm__monoid__add(X3180)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3180,c_Groups_Ozero__class_Ozero(X3180)),X3179))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3180,X3178),X3177))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3180,X3178),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3180),X3177),X3179))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing2])]) ).
fof(i_0_1862,plain,
! [X3992,X3993,X3994] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,c_Groups_Ozero__class_Ozero(X3994)),X3992))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,c_Groups_Ozero__class_Ozero(X3994)),X3993))
| c_Groups_Oabs__class_Oabs(X3994,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),X3993),X3992)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),c_Groups_Oabs__class_Oabs(X3994,X3993)),c_Groups_Oabs__class_Oabs(X3994,X3992))
| ~ class_Rings_Oordered__ring__abs(X3994) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,X3992),c_Groups_Ozero__class_Ozero(X3994)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,c_Groups_Ozero__class_Ozero(X3994)),X3993))
| c_Groups_Oabs__class_Oabs(X3994,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),X3993),X3992)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),c_Groups_Oabs__class_Oabs(X3994,X3993)),c_Groups_Oabs__class_Oabs(X3994,X3992))
| ~ class_Rings_Oordered__ring__abs(X3994) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,c_Groups_Ozero__class_Ozero(X3994)),X3992))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,X3993),c_Groups_Ozero__class_Ozero(X3994)))
| c_Groups_Oabs__class_Oabs(X3994,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),X3993),X3992)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),c_Groups_Oabs__class_Oabs(X3994,X3993)),c_Groups_Oabs__class_Oabs(X3994,X3992))
| ~ class_Rings_Oordered__ring__abs(X3994) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,X3992),c_Groups_Ozero__class_Ozero(X3994)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3994,X3993),c_Groups_Ozero__class_Ozero(X3994)))
| c_Groups_Oabs__class_Oabs(X3994,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),X3993),X3992)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3994),c_Groups_Oabs__class_Oabs(X3994,X3993)),c_Groups_Oabs__class_Oabs(X3994,X3992))
| ~ class_Rings_Oordered__ring__abs(X3994) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__eq__mult])])]) ).
fof(i_0_1863,plain,
! [X5082] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5082,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X5082)))),
inference(variable_rename,[status(thm)],[fact_real__natfloor__gt__diff__one]) ).
fof(i_0_1864,plain,
! [X4222,X4223,X4224] :
( ( X4223 = c_Groups_Ozero__class_Ozero(X4224)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4224),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4224),X4223),X4223)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4224),X4222),X4222)) != c_Groups_Ozero__class_Ozero(X4224)
| ~ class_Rings_Olinordered__ring__strict(X4224) )
& ( X4222 = c_Groups_Ozero__class_Ozero(X4224)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4224),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4224),X4223),X4223)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4224),X4222),X4222)) != c_Groups_Ozero__class_Ozero(X4224)
| ~ class_Rings_Olinordered__ring__strict(X4224) )
& ( X4223 != c_Groups_Ozero__class_Ozero(X4224)
| X4222 != c_Groups_Ozero__class_Ozero(X4224)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4224),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4224),X4223),X4223)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4224),X4222),X4222)) = c_Groups_Ozero__class_Ozero(X4224)
| ~ class_Rings_Olinordered__ring__strict(X4224) ) ),
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,
! [X4195,X4196] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4196),X4195))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4196),c_Groups_Oone__class_Oone(tc_Int_Oint))),X4195)) ),
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_1331]) ).
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_1353]) ).
fof(i_0_1869,plain,
! [X4239,X4240,X4241] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4241))
| X4241 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4240),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4241),X4239))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4240))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4239),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,
! [X5146,X5147] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5147))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5146))
| 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,X5147,X5146))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Divides_Otransfer__nat__int__function__closures_I1_J])]) ).
fof(i_0_1871,plain,
! [X4935,X4936] :
( ~ class_Rings_Oring__1(X4936)
| c_Groups_Ominus__class_Ominus(X4936,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4936),X4935),X4935),c_Groups_Oone__class_Oone(X4936)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4936),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4936),X4935),c_Groups_Oone__class_Oone(X4936))),c_Groups_Ominus__class_Ominus(X4936,X4935,c_Groups_Oone__class_Oone(X4936))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__squared__diff__one__factored])]) ).
fof(i_0_1872,plain,
! [X4242,X4243,X4244] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4244))
| X4244 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4243),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4244),X4242))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4243),X4244))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4242)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_self__quotient__aux1])]) ).
fof(i_0_1873,plain,
! [X4710,X4711,X4712] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4712),X4711))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4712),X4710))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4711,X4712),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4710,X4712)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4711,X4710) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Nat_Odiff__diff__eq])]) ).
fof(i_0_1874,plain,
! [X4368] : hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4368),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4368))),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,
! [X3897,X3898] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3898))
| ~ 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),X3898),X3897))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3897))
| ~ 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),X3898),X3897))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3898))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3897))
| 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),X3898),X3897))) ) ),
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,
! [X3914,X3915] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3915))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3914))
| 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),X3915),X3914))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__mult__order])]) ).
fof(i_0_1879,plain,
! [X4294,X4295] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4295))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4294))
| 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),X4295),X4294))) ),
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,
! [X4296,X4297] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4297))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4296))
| 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),X4297),X4296))) ),
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,
! [X3884,X3885,X3886] :
( ~ class_Rings_Ocomm__semiring__1(X3886)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3886),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3886),X3885),X3884)),X3884) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3886),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3886),X3885),c_Groups_Oone__class_Oone(X3886))),X3884) ),
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,
! [X4186,X4187,X4188] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4188),X4187)),X4186) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4188),X4186)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4187),X4186)),
inference(variable_rename,[status(thm)],[fact_zadd__zmult__distrib]) ).
fof(i_0_1884,plain,
! [X3704,X3705,X3706] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3706),X3705)),X3704) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3706),X3704)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3705),X3704)),
inference(variable_rename,[status(thm)],[fact_add__mult__distrib]) ).
fof(i_0_1885,plain,
! [X3729,X3730,X3731] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3731),X3730)),X3729) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3731),X3729)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3730),X3729)),
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,
! [X4872,X4873] :
( ( ~ 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,X4873,X4872)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4872),X4873)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4872),X4873))
| 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,X4873,X4872))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__diff])]) ).
fof(i_0_1888,plain,
! [X5064,X5065] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5065),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5064,c_Groups_Oone__class_Oone(tc_Int_Oint))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5065),X5064)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5065),X5064))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5065),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5064,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,
! [X2848,X2849,X2850,X2851,X2852] :
( ~ class_Orderings_Oord(X2852)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2851,X2852),X2850),X2849))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2852,hAPP(X2850,X2848)),hAPP(X2849,X2848))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__funD])]) ).
fof(i_0_1890,plain,
! [X2810,X2811,X2812,X2813,X2814] :
( ~ class_Orderings_Oord(X2814)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2813,X2814),X2812),X2811))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2814,hAPP(X2812,X2810)),hAPP(X2811,X2810))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__funE])]) ).
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,
! [X5182,X5183,X5184,X5185] :
( ~ class_Divides_Osemiring__div(X5185)
| X5184 = c_Groups_Ozero__class_Ozero(X5185)
| c_Divides_Odiv__class_Odiv(X5185,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5185),X5183),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5185),X5184),X5182)),X5184) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5185),X5182),c_Divides_Odiv__class_Odiv(X5185,X5183,X5184)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self2])]) ).
fof(i_0_1893,plain,
! [X5178,X5179,X5180,X5181] :
( ~ class_Divides_Osemiring__div(X5181)
| X5180 = c_Groups_Ozero__class_Ozero(X5181)
| c_Divides_Odiv__class_Odiv(X5181,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5181),X5179),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5181),X5178),X5180)),X5180) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5181),X5178),c_Divides_Odiv__class_Odiv(X5181,X5179,X5180)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1])]) ).
fof(i_0_1894,plain,
! [X5377,X5378,X5379,X5380] :
( ~ class_RealVector_Oreal__normed__field(X5380)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5380),c_Groups_Ominus__class_Ominus(X5380,X5379,X5378)),X5377) = c_Groups_Ominus__class_Ominus(X5380,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5380),X5379),X5377),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5380),X5378),X5377)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Odiff])]) ).
fof(i_0_1895,plain,
! [X5381,X5382,X5383,X5384] :
( ~ class_Rings_Odivision__ring(X5384)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5384),c_Groups_Ominus__class_Ominus(X5384,X5383,X5382)),X5381) = c_Groups_Ominus__class_Ominus(X5384,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5384),X5383),X5381),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5384),X5382),X5381)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__divide__distrib])]) ).
fof(i_0_1896,plain,
! [X4790,X4791,X4792,X4793] :
( ~ class_RealVector_Oreal__normed__algebra(X4793)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4793),c_Groups_Ominus__class_Ominus(X4793,X4792,X4791)),X4790) = c_Groups_Ominus__class_Ominus(X4793,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4793),X4792),X4790),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4793),X4791),X4790)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Odiff])]) ).
fof(i_0_1897,plain,
! [X4786,X4787,X4788,X4789] :
( ~ class_RealVector_Oreal__normed__algebra(X4789)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4789),c_Groups_Ominus__class_Ominus(X4789,X4788,X4787)),X4786) = c_Groups_Ominus__class_Ominus(X4789,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4789),X4788),X4786),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4789),X4787),X4786)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__left])]) ).
fof(i_0_1898,plain,
! [X4655,X4656] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4656)),c_Transcendental_Oln(X4655)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4656),X4655))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4655))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4656)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4656),X4655))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4656)),c_Transcendental_Oln(X4655)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4655))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4656)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__less__cancel__iff])])]) ).
fof(i_0_1899,plain,
! [X4663,X4664] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X4664)),c_Transcendental_Oln(X4663)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4664),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,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4664)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4664),X4663))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(X4664)),c_Transcendental_Oln(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,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__le__cancel__iff])])]) ).
cnf(i_0_1900,plain,
( X1 = c_Nat_OSuc(esk48_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,
! [X4129,X4130,X4131] :
( ~ class_Rings_Olinordered__idom(X4131)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4131,c_Groups_Ozero__class_Ozero(X4131)),hAPP(hAPP(c_Power_Opower__class_Opower(X4131),c_Groups_Oabs__class_Oabs(X4131,X4130)),X4129))) ),
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,
! [X3656,X3657,X3658,X3659] :
( ~ class_RealVector_Oreal__normed__algebra(X3659)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3659),X3658),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3659),X3657),X3656)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3659),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3659),X3658),X3657)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3659),X3658),X3656)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__right])]) ).
fof(i_0_1904,plain,
! [X3652,X3653,X3654,X3655] :
( ~ class_RealVector_Oreal__normed__algebra(X3655)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3655),X3654),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3655),X3653),X3652)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3655),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3655),X3654),X3653)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3655),X3654),X3652)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Oadd])]) ).
fof(i_0_1905,plain,
! [X3622,X3623,X3624,X3625] :
( ~ class_Rings_Ocomm__semiring__1(X3625)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3625),X3624),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3625),X3623),X3622)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3625),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3625),X3624),X3623)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3625),X3624),X3622)) ),
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,
! [X3559,X3560,X3561,X3562] :
( ~ class_Rings_Ocomm__semiring__1(X3562)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3562),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3562),X3561),X3560)),X3559) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3562),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3562),X3561),X3559)),X3560) ),
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,
! [X3434,X3435,X3436,X3437] :
( ~ class_Rings_Ocomm__semiring__1(X3437)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3437),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3437),X3436),X3435)),X3434) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3437),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3437),X3436),X3434)),X3435) ),
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,
! [X4846,X4847,X4848] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4848),X4847))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4847),X4846),X4848) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4847,X4848)),X4846) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__assoc2])]) ).
fof(i_0_1910,plain,
! [X4843,X4844,X4845] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4845),X4844))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4844,X4845)),X4843) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4844),X4843),X4845) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__assoc2])]) ).
fof(i_0_1911,plain,
! [X5275,X5276] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X5276),X5275) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5276)),hAPP(c_Complex_ORe,X5275)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5276)),hAPP(c_Complex_OIm,X5275))),
inference(variable_rename,[status(thm)],[fact_complex__add__def]) ).
fof(i_0_1912,plain,
! [X3488,X3489,X3491] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk21_2(X3488,X3489)),X3488))
| ~ hBOOL(hAPP(X3489,X3488))
| hBOOL(hAPP(X3489,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3491),esk21_2(X3488,X3489)))
| ~ hBOOL(hAPP(X3489,X3491))
| ~ hBOOL(hAPP(X3489,X3488))
| hBOOL(hAPP(X3489,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
& ( hBOOL(hAPP(X3489,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk21_2(X3488,X3489)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
| ~ hBOOL(hAPP(X3489,X3488))
| hBOOL(hAPP(X3489,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,
! [X4237,X4238] :
( ( ~ 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),X4238),X4237)))
| X4237 = 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)),X4238)) )
& ( X4237 != 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),X4238),X4237))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4238))
| 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),X4238),X4237))) ) ),
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,
! [X4068,X4069] :
( ( ~ 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),X4069),X4068)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4069))
| X4068 = 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)),X4069))
| 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),X4069),X4068))) )
& ( X4068 != 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),X4069),X4068))) ) ),
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,
! [X3514] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk22_1(X3514)),esk23_1(X3514)))
| c_SEQ_Oconvergent(tc_RealDef_Oreal,X3514)
| ~ c_SEQ_OBseq(tc_RealDef_Oreal,X3514) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(X3514,esk22_1(X3514))),hAPP(X3514,esk23_1(X3514))))
| c_SEQ_Oconvergent(tc_RealDef_Oreal,X3514)
| ~ c_SEQ_OBseq(tc_RealDef_Oreal,X3514) ) ),
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,
! [X3582,X3583,X3584,X3585] :
( ~ class_Rings_Ocomm__semiring__1(X3585)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3585),hAPP(hAPP(c_Power_Opower__class_Opower(X3585),X3584),X3583)),hAPP(hAPP(c_Power_Opower__class_Opower(X3585),X3584),X3582)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3585),X3584),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3583),X3582)) ),
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,
! [X4113,X4114,X4115,X4116] :
( ~ class_Groups_Omonoid__mult(X4116)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4116),X4115),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4114),X4113)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4116),hAPP(hAPP(c_Power_Opower__class_Opower(X4116),X4115),X4114)),hAPP(hAPP(c_Power_Opower__class_Opower(X4116),X4115),X4113)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__add])]) ).
fof(i_0_1918,plain,
! [X4384,X4385,X4387] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk34_2(X4384,X4385)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4384))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4385)) )
& ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk34_2(X4384,X4385)),X4385) = X4384
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4384))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4385)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4387))
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4387),X4385) != X4384
| X4387 = esk34_2(X4384,X4385)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4384))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4385)) ) ),
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,
! [X3921,X3922] :
( ( X3922 = 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),X3922),X3922)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3921),X3921)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X3921 = 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),X3922),X3922)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3921),X3921)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X3922 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X3921 != 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),X3922),X3922)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3921),X3921)) = 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,
! [X3875,X3876,X3877,X3878,X3879,X3880] :
( ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3880)
| X3879 = c_Groups_Ozero__class_Ozero(X3880)
| X3878 != X3877
| X3876 = X3875
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3880),X3878),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3880),X3879),X3876)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3880),X3877),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3880),X3879),X3875)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__scale__eq__noteq])]) ).
fof(i_0_1921,plain,
! [X4191,X4192] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4192),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4191),c_Groups_Oone__class_Oone(tc_Int_Oint))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4192),X4191))
| X4192 = X4191 )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4192),X4191))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4192),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4191),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
& ( X4192 != X4191
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4192),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4191),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,
! [X4189,X4190] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4190),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4189),c_Groups_Oone__class_Oone(tc_Int_Oint))))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4190),X4189)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4190),X4189))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4190),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4189),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,
! [X4364,X4365] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4364),c_RComplete_Onatfloor(X4365)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4364)),X4365))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4365)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4364)),X4365))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4364),c_RComplete_Onatfloor(X4365)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4365)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__natfloor__eq])])]) ).
fof(i_0_1929,plain,
! [X5212,X5213] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5213,X5212)),X5213)),
inference(variable_rename,[status(thm)],[fact_div__le__dividend]) ).
fof(i_0_1930,plain,
! [X4724,X4725] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4725,X4724)),X4725)),
inference(variable_rename,[status(thm)],[fact_diff__le__self]) ).
fof(i_0_1931,plain,
! [X5049,X5050,X5051] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5051,X5050)),X5049) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5051),X5049),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5050),X5049)),
inference(variable_rename,[status(thm)],[fact_zdiff__zmult__distrib]) ).
fof(i_0_1932,plain,
! [X4809,X4810,X4811] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4811,X4810)),X4809) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4811),X4809),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4810),X4809)),
inference(variable_rename,[status(thm)],[fact_diff__mult__distrib]) ).
fof(i_0_1933,plain,
! [X4098,X4099,X4100] :
( ~ class_Rings_Olinordered__semidom(X4100)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4100,c_Groups_Ozero__class_Ozero(X4100)),X4099))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4100,c_Groups_Ozero__class_Ozero(X4100)),hAPP(hAPP(c_Power_Opower__class_Opower(X4100),X4099),X4098))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])]) ).
fof(i_0_1934,plain,
! [X4101,X4102,X4103] :
( ~ class_Rings_Olinordered__semidom(X4103)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4103,c_Groups_Oone__class_Oone(X4103)),X4102))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4103,c_Groups_Oone__class_Oone(X4103)),hAPP(hAPP(c_Power_Opower__class_Opower(X4103),X4102),X4101))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__le__power])]) ).
fof(i_0_1935,plain,
! [X4095,X4096,X4097] :
( ~ class_Rings_Olinordered__semidom(X4097)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4097,c_Groups_Ozero__class_Ozero(X4097)),X4096))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4097,c_Groups_Ozero__class_Ozero(X4097)),hAPP(hAPP(c_Power_Opower__class_Opower(X4097),X4096),X4095))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power])]) ).
fof(i_0_1936,plain,
! [X3031,X3032,X3033,X3034] :
( ( ~ c_SEQ_Osubseq(X3031)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3032),X3033))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3031,X3032)),hAPP(X3031,X3033))) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk3_1(X3034)),esk4_1(X3034)))
| c_SEQ_Osubseq(X3034) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(X3034,esk3_1(X3034))),hAPP(X3034,esk4_1(X3034))))
| c_SEQ_Osubseq(X3034) ) ),
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,
! [X5345,X5346,X5347] :
( ~ class_Fields_Ofield__inverse__zero(X5347)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5347),c_Groups_Oone__class_Oone(X5347)),hAPP(hAPP(c_Power_Opower__class_Opower(X5347),X5346),X5345)) = hAPP(hAPP(c_Power_Opower__class_Opower(X5347),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5347),c_Groups_Oone__class_Oone(X5347)),X5346)),X5345) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__over])]) ).
fof(i_0_1938,plain,
! [X5305,X5306] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X5306))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5305))
| c_RComplete_Onatfloor(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5306),c_RealDef_Oreal(tc_Nat_Onat,X5305))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_RComplete_Onatfloor(X5306),X5305) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__div__nat])]) ).
fof(i_0_1939,plain,
! [X5080,X5081] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5081)),X5080))
| c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5080,c_RealDef_Oreal(tc_Nat_Onat,X5081))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(X5080),X5081) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__subtract])]) ).
fof(i_0_1940,plain,
! [X5083,X5084] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5084)),X5083))
| c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5083,c_RealDef_Oreal(tc_Nat_Onat,X5084))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(X5083),X5084) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__subtract])]) ).
fof(i_0_1941,plain,
! [X3475,X3476,X3478] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk18_2(X3475,X3476)))
| ~ c_SEQ_OBseq(X3476,X3475)
| ~ class_RealVector_Oreal__normed__vector(X3476) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3476,hAPP(X3475,X3478))),esk18_2(X3475,X3476)))
| ~ c_SEQ_OBseq(X3476,X3475)
| ~ class_RealVector_Oreal__normed__vector(X3476) ) ),
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),esk50_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,
! [X4062,X4063,X4064] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4064),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4063),X4062)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4064),X4063)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4064),X4062)),
inference(variable_rename,[status(thm)],[fact_zpower__zadd__distrib]) ).
fof(i_0_1947,plain,
! [X4183,X4184,X4185] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4185),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4184),X4183)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4185),X4184)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4185),X4183)),
inference(variable_rename,[status(thm)],[fact_zadd__zmult__distrib2]) ).
fof(i_0_1948,plain,
! [X3707,X3708,X3709] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3709),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3708),X3707)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3709),X3708)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3709),X3707)),
inference(variable_rename,[status(thm)],[fact_add__mult__distrib2]) ).
fof(i_0_1949,plain,
! [X4173,X4174] : 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,X4174)),X4173))),
inference(variable_rename,[status(thm)],[fact_zero__le__zpower__abs]) ).
fof(i_0_1950,plain,
! [X3887,X3888,X3889] :
( ~ class_Rings_Ocomm__semiring__1(X3889)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3889),X3888),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3889),X3887),X3888)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3889),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3889),X3887),c_Groups_Oone__class_Oone(X3889))),X3888) ),
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,
! [X5189,X5190,X5191] :
( ~ class_Divides_Osemiring__div(X5191)
| X5190 = c_Groups_Ozero__class_Ozero(X5191)
| c_Divides_Odiv__class_Odiv(X5191,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5191),X5190),X5189),X5190) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5191),c_Divides_Odiv__class_Odiv(X5191,X5189,X5190)),c_Groups_Oone__class_Oone(X5191)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add__self1])]) ).
fof(i_0_1952,plain,
! [X5186,X5187,X5188] :
( ~ class_Divides_Osemiring__div(X5188)
| X5187 = c_Groups_Ozero__class_Ozero(X5188)
| c_Divides_Odiv__class_Odiv(X5188,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5188),X5186),X5187),X5187) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X5188),c_Divides_Odiv__class_Odiv(X5188,X5186,X5187)),c_Groups_Oone__class_Oone(X5188)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add__self2])]) ).
fof(i_0_1953,plain,
! [X5109,X5110,X5111] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5111))
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5110,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5109),X5111)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5110,X5109),X5111) ),
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,
! [X5400,X5401] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5401))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X5400))
| c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5401),X5400)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(X5401),c_Transcendental_Oln(X5400)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__div])]) ).
fof(i_0_1956,plain,
! [X4696,X4697,X4698] :
( ( X4697 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4698),X4696),X4697) = c_Groups_Oone__class_Oone(X4698)
| ~ class_Power_Opower(X4698) )
& ( X4697 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4698),X4696),X4697) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4698),X4696),hAPP(hAPP(c_Power_Opower__class_Opower(X4698),X4696),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4697,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
| ~ class_Power_Opower(X4698) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__num__eq__if])])]) ).
fof(i_0_1957,plain,
! [X3170,X3171,X3172] :
( ( X3171 = c_Groups_Ozero__class_Ozero(X3172)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3172),X3171),X3170) != c_Groups_Ozero__class_Ozero(X3172)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,c_Groups_Ozero__class_Ozero(X3172)),X3170))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,c_Groups_Ozero__class_Ozero(X3172)),X3171))
| ~ class_Groups_Oordered__comm__monoid__add(X3172) )
& ( X3170 = c_Groups_Ozero__class_Ozero(X3172)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3172),X3171),X3170) != c_Groups_Ozero__class_Ozero(X3172)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,c_Groups_Ozero__class_Ozero(X3172)),X3170))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,c_Groups_Ozero__class_Ozero(X3172)),X3171))
| ~ class_Groups_Oordered__comm__monoid__add(X3172) )
& ( X3171 != c_Groups_Ozero__class_Ozero(X3172)
| X3170 != c_Groups_Ozero__class_Ozero(X3172)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3172),X3171),X3170) = c_Groups_Ozero__class_Ozero(X3172)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,c_Groups_Ozero__class_Ozero(X3172)),X3170))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3172,c_Groups_Ozero__class_Ozero(X3172)),X3171))
| ~ class_Groups_Oordered__comm__monoid__add(X3172) ) ),
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,
! [X4674,X4675] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4675))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4674))
| c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4675),X4674)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(X4675)),c_Transcendental_Oln(X4674)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__mult])]) ).
fof(i_0_1959,plain,
! [X4210] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4210))
| 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)),X4210))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__0__less])]) ).
fof(i_0_1960,plain,
! [X4369,X4370] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4370))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4370),c_RealDef_Oreal(tc_Nat_Onat,X4369)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(X4370)),X4369)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__natfloor])]) ).
fof(i_0_1961,plain,
! [X4366,X4367] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4367)),X4366))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4367),c_RealDef_Oreal(tc_Nat_Onat,X4366)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4367)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4367),c_RealDef_Oreal(tc_Nat_Onat,X4366)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4367)),X4366))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4367)) ) ),
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,
! [X5196,X5197,X5198] :
( ( ~ hBOOL(hAPP(X5198,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5197,X5196)))
| epred1_3(X5198,X5196,X5197) )
& ( ~ epred1_3(X5198,X5196,X5197)
| hBOOL(hAPP(X5198,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5197,X5196))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1371])]) ).
fof(i_0_1965,plain,
! [X4298] :
( ( 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),X4298),X4298)))
| X4298 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X4298 != 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),X4298),X4298))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1372])]) ).
fof(i_0_1966,plain,
! [X4782,X4783,X4784,X4785] :
( ~ class_RealVector_Oreal__normed__algebra(X4785)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4785),X4784),c_Groups_Ominus__class_Ominus(X4785,X4783,X4782)) = c_Groups_Ominus__class_Ominus(X4785,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4785),X4784),X4783),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4785),X4784),X4782)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Odiff])]) ).
fof(i_0_1967,plain,
! [X4778,X4779,X4780,X4781] :
( ~ class_RealVector_Oreal__normed__algebra(X4781)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4781),X4780),c_Groups_Ominus__class_Ominus(X4781,X4779,X4778)) = c_Groups_Ominus__class_Ominus(X4781,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4781),X4780),X4779),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4781),X4780),X4778)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__right])]) ).
fof(i_0_1968,plain,
! [X5226,X5227,X5228] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5228))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5228),X5227),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5228),X5226)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5227,X5226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__div__cancel1])]) ).
fof(i_0_1969,plain,
! [X4818,X4819,X4820] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4820),X4819))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4818,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4819,X4820)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4818),X4820),X4819) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__diff__right])]) ).
fof(i_0_1970,plain,
! [X4388,X4389] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk35_2(X4388,X4389)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4388))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4389)) )
& ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk35_2(X4388,X4389)),X4389) = X4388
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4388))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4389)) ) ),
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,
! [X5096,X5097] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5097))
| ~ 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)),c_Nat__Transfer_Otsub(X5097,X5096))) ),
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,
! [X4077,X4078,X4079] :
( ~ class_Groups_Omonoid__mult(X4079)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4079),hAPP(hAPP(c_Power_Opower__class_Opower(X4079),X4078),X4077)),X4078) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4079),X4078),hAPP(hAPP(c_Power_Opower__class_Opower(X4079),X4078),X4077)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__commutes])]) ).
fof(i_0_1973,plain,
! [X3534,X3535,X3536,X3537] :
( ~ class_Groups_Oab__semigroup__mult(X3537)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3537),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3537),X3536),X3535)),X3534) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3537),X3536),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3537),X3535),X3534)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__mult__class_Omult__ac_I1_J])]) ).
fof(i_0_1974,plain,
! [X3555,X3556,X3557,X3558] :
( ~ class_Rings_Ocomm__semiring__1(X3558)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3558),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3558),X3557),X3556)),X3555) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3558),X3557),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3558),X3556),X3555)) ),
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,
! [X3438,X3439,X3440,X3441] :
( ~ class_Rings_Ocomm__semiring__1(X3441)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3441),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3441),X3440),X3439)),X3438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3441),X3440),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3441),X3439),X3438)) ),
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,
! [X3044,X3045,X3046,X3047] :
( ~ class_Groups_Oab__semigroup__add(X3047)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3047),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3047),X3046),X3045)),X3044) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3047),X3046),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3047),X3045),X3044)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__add__class_Oadd__ac_I1_J])]) ).
fof(i_0_1977,plain,
! [X5330,X5331,X5332,X5333] :
( ~ class_Rings_Odivision__ring(X5333)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5333),X5332),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5333),X5331),X5330)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5333),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5333),X5332),X5331)),X5330) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__eq__right])]) ).
fof(i_0_1978,plain,
! [X3547,X3548,X3549,X3550] :
( ~ class_Rings_Ocomm__semiring__1(X3550)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3550),X3549),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3550),X3548),X3547)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3550),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3550),X3549),X3548)),X3547) ),
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,
! [X3442,X3443,X3444,X3445] :
( ~ class_Rings_Ocomm__semiring__1(X3445)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3445),X3444),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3445),X3443),X3442)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3445),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3445),X3444),X3443)),X3442) ),
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,
! [X3503,X3504] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3504,c_Groups_Osgn__class_Osgn(X3504,X3503)),c_Groups_Ozero__class_Ozero(X3504)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3504,X3503),c_Groups_Ozero__class_Ozero(X3504)))
| ~ class_Rings_Olinordered__idom(X3504) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3504,X3503),c_Groups_Ozero__class_Ozero(X3504)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3504,c_Groups_Osgn__class_Osgn(X3504,X3503)),c_Groups_Ozero__class_Ozero(X3504)))
| ~ class_Rings_Olinordered__idom(X3504) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__less])])]) ).
fof(i_0_1981,plain,
! [X4840,X4841,X4842] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4842),X4841))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4840),X4841),X4842) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4840),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4841,X4842)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__assoc])]) ).
fof(i_0_1982,plain,
! [X4829,X4830,X4831] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4831),X4830))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4829),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4830,X4831)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4829),X4830),X4831) ),
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,
! [X4338,X4339] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4339)),c_RealDef_Oreal(tc_Nat_Onat,X4338)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4339),X4338)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4339),X4338))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4339)),c_RealDef_Oreal(tc_Nat_Onat,X4338))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__less__iff])]) ).
fof(i_0_1986,plain,
! [X4340,X4341] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4341)),c_RealDef_Oreal(tc_Nat_Onat,X4340)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4341),X4340)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4341),X4340))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4341)),c_RealDef_Oreal(tc_Nat_Onat,X4340))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__le__iff])]) ).
fof(i_0_1987,plain,
! [X3159,X3160,X3161] :
( ~ class_Groups_Oordered__ab__group__add__abs(X3161)
| c_Groups_Oabs__class_Oabs(X3161,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3161),c_Groups_Oabs__class_Oabs(X3161,X3160)),c_Groups_Oabs__class_Oabs(X3161,X3159))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3161),c_Groups_Oabs__class_Oabs(X3161,X3160)),c_Groups_Oabs__class_Oabs(X3161,X3159)) ),
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,
! [X4713,X4714,X4715] :
( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4714,X4715) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4713,X4715)
| X4714 = X4713
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4715),X4713))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4715),X4714)) )
& ( X4714 != X4713
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4714,X4715) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4713,X4715)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4715),X4713))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4715),X4714)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__diff__iff])])]) ).
fof(i_0_1991,plain,
! [X4292,X4293] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4293))
| 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),X4293),X4292))) ),
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,
! [X4070,X4071,X4072,X4073] :
( ~ class_Groups_Omonoid__mult(X4073)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4073),X4072),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4071),X4070)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4073),hAPP(hAPP(c_Power_Opower__class_Opower(X4073),X4072),X4071)),X4070) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mult])]) ).
fof(i_0_1993,plain,
! [X3551,X3552,X3553,X3554] :
( ~ class_Rings_Ocomm__semiring__1(X3554)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3554),hAPP(hAPP(c_Power_Opower__class_Opower(X3554),X3553),X3552)),X3551) = hAPP(hAPP(c_Power_Opower__class_Opower(X3554),X3553),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3552),X3551)) ),
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,
! [X5032,X5033] :
( ( X5033 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X5032),X5033) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
& ( X5033 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X5032),X5033) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5032),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X5032),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5033,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,
! [X4214] : 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)),X4214)),X4214) != c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(variable_rename,[status(thm)],[fact_odd__nonzero]) ).
fof(i_0_1996,plain,
! [X3334] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3334))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3334))),
inference(variable_rename,[status(thm)],[fact_abs__Re__le__cmod]) ).
fof(i_0_1997,plain,
! [X3016] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X3016))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3016))),
inference(variable_rename,[status(thm)],[fact_abs__Im__le__cmod]) ).
fof(i_0_1998,plain,
! [X3989,X3990,X3991] :
( ~ class_Rings_Olinordered__idom(X3991)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3991,c_Groups_Ozero__class_Ozero(X3991)),X3990))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3991),c_Groups_Oabs__class_Oabs(X3991,X3989)),X3990) = c_Groups_Oabs__class_Oabs(X3991,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3991),X3989),X3990)) ),
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,
! [X3231] :
( ~ class_Rings_Olinordered__semidom(X3231)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3231,c_Groups_Ozero__class_Ozero(X3231)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3231),c_Groups_Oone__class_Oone(X3231)),c_Groups_Oone__class_Oone(X3231)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__two])]) ).
fof(i_0_2001,plain,
! [X4794,X4795,X4796,X4797,X4798] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4798,X4797),X4796))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4798,X4795),X4794))
| c_Groups_Ominus__class_Ominus(X4798,X4797,X4796) != c_Groups_Ominus__class_Ominus(X4798,X4795,X4794)
| ~ class_Groups_Oordered__ab__group__add(X4798) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4798,X4795),X4794))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4798,X4797),X4796))
| c_Groups_Ominus__class_Ominus(X4798,X4797,X4796) != c_Groups_Ominus__class_Ominus(X4798,X4795,X4794)
| ~ class_Groups_Oordered__ab__group__add(X4798) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less])])]) ).
fof(i_0_2002,plain,
! [X4745,X4746,X4747,X4748,X4749] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4749,X4748),X4747))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4749,X4746),X4745))
| c_Groups_Ominus__class_Ominus(X4749,X4748,X4747) != c_Groups_Ominus__class_Ominus(X4749,X4746,X4745)
| ~ class_Groups_Oordered__ab__group__add(X4749) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4749,X4746),X4745))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X4749,X4748),X4747))
| c_Groups_Ominus__class_Ominus(X4749,X4748,X4747) != c_Groups_Ominus__class_Ominus(X4749,X4746,X4745)
| ~ class_Groups_Oordered__ab__group__add(X4749) ) ),
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,
! [X3890,X3891] :
( ~ class_Rings_Ocomm__semiring__1(X3891)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3891),X3890),X3890) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3891),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3891),c_Groups_Oone__class_Oone(X3891)),c_Groups_Oone__class_Oone(X3891))),X3890) ),
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,
! [X4668] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4668)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4668),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)),X4668)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4668),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4668)),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)),X4668)) ) ),
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_1365]) ).
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_1379]) ).
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_1380]) ).
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_1355]) ).
fof(i_0_2012,plain,
! [X4670] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4670)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4670))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4670)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4670))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4670)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4670)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__gt__zero__iff])])]) ).
fof(i_0_2013,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_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)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__gt__zero__imp__gt__one])]) ).
fof(i_0_2014,plain,
! [X4673] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4673)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4673))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4673)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4673))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4673)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4673)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__ge__zero__iff])])]) ).
fof(i_0_2015,plain,
! [X4672] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4672)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4672))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4672)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__ge__zero__imp__ge__one])]) ).
fof(i_0_2016,plain,
! [X3162] : 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,X3162)))),
inference(variable_rename,[status(thm)],[fact_abs__add__one__gt__zero]) ).
fof(i_0_2017,plain,
! [X4381,X4382,X4383] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Complex_Orcis(X4383,X4382)),X4381) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4383),X4381),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4381)),X4382)),
inference(variable_rename,[status(thm)],[fact_DeMoivre2]) ).
fof(i_0_2018,plain,
! [X5052,X5053,X5054] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5054),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5053,X5052)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5054),X5053),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5054),X5052)),
inference(variable_rename,[status(thm)],[fact_zdiff__zmult__distrib2]) ).
fof(i_0_2019,plain,
! [X4812,X4813,X4814] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4814),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4813,X4812)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4814),X4813),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4814),X4812)),
inference(variable_rename,[status(thm)],[fact_diff__mult__distrib2]) ).
fof(i_0_2020,plain,
! [X2802,X2803,X2804] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2804)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2804,c_Groups_Oabs__class_Oabs(X2804,X2803)),X2802))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2804,X2803),X2802)) ),
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,
! [X3453,X3454,X3455] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3455),X3454))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3455),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3454),X3453))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I1_J])]) ).
fof(i_0_2023,plain,
! [X3315,X3316,X3317] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3317),X3316))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3317),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3316),X3315))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add1])]) ).
fof(i_0_2024,plain,
! [X3456,X3457,X3458] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3458),X3457))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3458),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3456),X3457))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I2_J])]) ).
fof(i_0_2025,plain,
! [X3312,X3313,X3314] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3314),X3313))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3314),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3312),X3313))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add2])]) ).
fof(i_0_2026,plain,
! [X3462,X3463,X3464] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3464),X3463))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3464),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3463),X3462))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I3_J])]) ).
fof(i_0_2027,plain,
! [X3263,X3264,X3265] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3265),X3264))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3265),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3264),X3263))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__le__add1])]) ).
fof(i_0_2028,plain,
! [X3459,X3460,X3461] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3461),X3460))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3461),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3459),X3460))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I4_J])]) ).
fof(i_0_2029,plain,
! [X3266,X3267,X3268] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3268),X3267))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3268),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3266),X3267))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__le__add2])]) ).
fof(i_0_2030,plain,
! [X4667] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4667))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X4667),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(X4667)),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,
! [X4835,X4836] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4836),X4835))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4835,X4836)),X4836) = X4835 ),
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,
! [X3505,X3506] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3506,c_Groups_Ozero__class_Ozero(X3506)),c_Groups_Osgn__class_Osgn(X3506,X3505)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3506,c_Groups_Ozero__class_Ozero(X3506)),X3505))
| ~ class_Rings_Olinordered__idom(X3506) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3506,c_Groups_Ozero__class_Ozero(X3506)),X3505))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3506,c_Groups_Ozero__class_Ozero(X3506)),c_Groups_Osgn__class_Osgn(X3506,X3505)))
| ~ class_Rings_Olinordered__idom(X3506) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__greater])])]) ).
fof(i_0_2035,plain,
! [X5308,X5309] : hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5309),X5308)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5309),X5309)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5308),X5309),
inference(variable_rename,[status(thm)],[fact_real__divide__square__eq]) ).
fof(i_0_2036,plain,
! [X4049,X4050,X4051] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4051),X4050)),X4049) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4051),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4050),X4049)),
inference(variable_rename,[status(thm)],[fact_zpower__zpower]) ).
fof(i_0_2037,plain,
! [X4180,X4181,X4182] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4182),X4181)),X4180) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4182),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4181),X4180)),
inference(variable_rename,[status(thm)],[fact_zmult__assoc]) ).
fof(i_0_2038,plain,
! [X4052,X4053,X4054] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4054),X4053)),X4052) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4054),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4053),X4052)),
inference(variable_rename,[status(thm)],[fact_nat__mult__assoc]) ).
fof(i_0_2039,plain,
! [X4057,X4058,X4059] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4059),X4058)),X4057) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4059),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4058),X4057)),
inference(variable_rename,[status(thm)],[fact_real__mult__assoc]) ).
fof(i_0_2040,plain,
! [X4248,X4249,X4250] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4250),X4249)),X4248) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4250),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4249),X4248)),
inference(variable_rename,[status(thm)],[fact_zadd__assoc]) ).
fof(i_0_2041,plain,
! [X3409,X3410,X3411] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3411),X3410)),X3409) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3411),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3410),X3409)),
inference(variable_rename,[status(thm)],[fact_nat__add__assoc]) ).
fof(i_0_2042,plain,
! [X4352] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4352))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4352))),X4352)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__natfloor__le])]) ).
fof(i_0_2043,plain,
! [X4353,X4354] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4354)),X4353))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4354),c_RComplete_Onatfloor(X4353))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__natfloor])]) ).
fof(i_0_2044,plain,
! [X2878,X2879,X2880,X2881] :
( ~ class_Orderings_Opreorder(X2881)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2881,X2880),X2879))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2881,X2879),X2878))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2881,X2880),X2878)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__trans])]) ).
fof(i_0_2045,plain,
! [X2950,X2951,X2952,X2953] :
( ~ class_Orderings_Opreorder(X2953)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2953,X2952),X2951))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2953,X2951),X2950))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2953,X2952),X2950)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less__trans])]) ).
fof(i_0_2046,plain,
! [X2958,X2959,X2960,X2961] :
( ~ class_Orderings_Opreorder(X2961)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2961,X2960),X2959))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2961,X2959),X2958))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2961,X2960),X2958)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__le__trans])]) ).
fof(i_0_2047,plain,
! [X2874,X2875,X2876,X2877] :
( ~ class_Orderings_Oorder(X2877)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2877,X2876),X2875))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2877,X2874),X2876))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2877,X2874),X2875)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I10_J])]) ).
fof(i_0_2048,plain,
! [X2946,X2947,X2948,X2949] :
( ~ class_Orderings_Oorder(X2949)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2949,X2948),X2947))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2949,X2946),X2948))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2949,X2946),X2947)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I8_J])]) ).
fof(i_0_2049,plain,
! [X2954,X2955,X2956,X2957] :
( ~ class_Orderings_Oorder(X2957)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2957,X2956),X2955))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2957,X2954),X2956))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2957,X2954),X2955)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I7_J])]) ).
fof(i_0_2050,plain,
! [X2822,X2823,X2824,X2825] :
( ~ class_Orderings_Opreorder(X2825)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2825,X2824),X2823))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2825,X2823),X2822))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2825,X2824),X2822)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__trans])]) ).
fof(i_0_2051,plain,
! [X2815,X2816,X2817,X2818] :
( ~ class_Orderings_Oorder(X2818)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2818,X2817),X2816))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2818,X2815),X2817))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2818,X2815),X2816)) ),
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,
! [X2795] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X2795))),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_1355]) ).
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,
! [X4107,X4108,X4109,X4110] :
( ( hAPP(hAPP(c_Power_Opower__class_Opower(X4110),X4109),X4108) != hAPP(hAPP(c_Power_Opower__class_Opower(X4110),X4109),X4107)
| X4108 = X4107
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4110,c_Groups_Oone__class_Oone(X4110)),X4109))
| ~ class_Rings_Olinordered__semidom(X4110) )
& ( X4108 != X4107
| hAPP(hAPP(c_Power_Opower__class_Opower(X4110),X4109),X4108) = hAPP(hAPP(c_Power_Opower__class_Opower(X4110),X4109),X4107)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X4110,c_Groups_Oone__class_Oone(X4110)),X4109))
| ~ class_Rings_Olinordered__semidom(X4110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__exp])])]) ).
fof(i_0_2057,plain,
! [X3301,X3302,X3303,X3304] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3304),X3303))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3302),X3303) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3304),X3301)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3302),X3301)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__eq__less])]) ).
fof(i_0_2058,plain,
! [X4371,X4372] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4372))
| c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4372),c_RealDef_Oreal(tc_Nat_Onat,X4371))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X4372)),X4371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__add])]) ).
fof(i_0_2059,plain,
! [X4377,X4378] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4378))
| c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4378),c_RealDef_Oreal(tc_Nat_Onat,X4377))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X4378)),X4377) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__add])]) ).
fof(i_0_2060,plain,
! [X5066,X5067] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5067),X5066))
| c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5066,X5067)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X5066),c_RealDef_Oreal(tc_Nat_Onat,X5067)) ),
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,
! [X4637,X4638] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4638))
| c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4638),X4637)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4637)),c_Transcendental_Oln(X4638)) ),
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,
! [X5232,X5233,X5234,X5235] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X5235,X5234),c_Complex_Ocomplex_OComplex(X5233,X5232)) = c_Complex_Ocomplex_OComplex(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5235,X5233),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5234,X5232)),
inference(variable_rename,[status(thm)],[fact_complex__diff]) ).
fof(i_0_2066,plain,
! [X5112,X5113,X5114,X5115] :
( ( X5114 != c_Groups_Ozero__class_Ozero(X5115)
| c_Divides_Odiv__class_Odiv(X5115,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5115),X5114),X5113),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5115),X5114),X5112)) = c_Groups_Ozero__class_Ozero(X5115)
| ~ class_Divides_Osemiring__div(X5115) )
& ( X5114 = c_Groups_Ozero__class_Ozero(X5115)
| c_Divides_Odiv__class_Odiv(X5115,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5115),X5114),X5113),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5115),X5114),X5112)) = c_Divides_Odiv__class_Odiv(X5115,X5113,X5112)
| ~ class_Divides_Osemiring__div(X5115) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult1__if])])]) ).
fof(i_0_2067,plain,
! [X5126,X5127,X5128,X5129] :
( ~ class_Divides_Osemiring__div(X5129)
| X5128 = c_Groups_Ozero__class_Ozero(X5129)
| c_Divides_Odiv__class_Odiv(X5129,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5129),X5128),X5127),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5129),X5128),X5126)) = c_Divides_Odiv__class_Odiv(X5129,X5127,X5126) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult1])]) ).
fof(i_0_2068,plain,
! [X5122,X5123,X5124,X5125] :
( ~ class_Divides_Osemiring__div(X5125)
| X5124 = c_Groups_Ozero__class_Ozero(X5125)
| c_Divides_Odiv__class_Odiv(X5125,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5125),X5123),X5124),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5125),X5122),X5124)) = c_Divides_Odiv__class_Odiv(X5125,X5123,X5122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult2])]) ).
fof(i_0_2069,plain,
! [X2789,X2790] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2790,c_Groups_Oabs__class_Oabs(X2790,X2789)),c_Groups_Ozero__class_Ozero(X2790)))
| X2789 = c_Groups_Ozero__class_Ozero(X2790)
| ~ class_Groups_Oordered__ab__group__add__abs(X2790) )
& ( X2789 != c_Groups_Ozero__class_Ozero(X2790)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2790,c_Groups_Oabs__class_Oabs(X2790,X2789)),c_Groups_Ozero__class_Ozero(X2790)))
| ~ class_Groups_Oordered__ab__group__add__abs(X2790) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__zero__iff])])]) ).
fof(i_0_2070,plain,
! [X2781,X2782] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2782)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2782,c_Groups_Oabs__class_Oabs(X2782,X2781)),c_Groups_Ozero__class_Ozero(X2782))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1387])]) ).
fof(i_0_2071,plain,
! [X3757,X3758] :
( ~ class_Rings_Olinordered__ring(X3758)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3758,c_Groups_Ozero__class_Ozero(X3758)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3758),X3757),X3757))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__square])]) ).
fof(i_0_2072,plain,
! [X3232,X3233] :
( ~ class_Rings_Olinordered__semidom(X3233)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3233,X3232),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3233),X3232),c_Groups_Oone__class_Oone(X3233)))) ),
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,
! [X4394,X4395,X4396,X4397] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X4397,X4396)),c_Complex_Orcis(X4395,X4394)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4397),X4395),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X4396),X4394)),
inference(variable_rename,[status(thm)],[fact_rcis__mult]) ).
fof(i_0_2075,plain,
! [X5245,X5246,X5247,X5248] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X5248,X5247)),c_Complex_Ocomplex_OComplex(X5246,X5245)) = c_Complex_Ocomplex_OComplex(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5248),X5246),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X5247),X5245)),
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,
! [X3543,X3544,X3545,X3546] :
( ~ class_Rings_Ocomm__semiring__1(X3546)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3546),X3545),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3546),X3544),X3543)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3546),X3544),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3546),X3545),X3543)) ),
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,
! [X3446,X3447,X3448,X3449] :
( ~ class_Rings_Ocomm__semiring__1(X3449)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3449),X3448),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3449),X3447),X3446)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3449),X3447),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3449),X3448),X3446)) ),
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,
! [X4258,X4259,X4260] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4260),X4259))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4259),X4258))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4260),X4258)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__trans])]) ).
fof(i_0_2080,plain,
! [X3272,X3273,X3274] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3274),X3273))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3273),X3272))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3274),X3272)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__trans])]) ).
fof(i_0_2081,plain,
! [X2938,X2939,X2940] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2940),X2939))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2939),X2938))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2940),X2938)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).
fof(i_0_2082,plain,
! [X5176,X5177] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5177),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)),X5177))
| X5176 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,X5176) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5176),X5177))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5177))
| X5176 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,X5176) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5177),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5177),X5176))
| X5176 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,X5176) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5176),X5177))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5177),X5176))
| X5176 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,X5176) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( X5176 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,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)),X5177))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5177),X5176))
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,X5176) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5177),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5176),X5177))
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5177,X5176) = 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,
! [X5163,X5164] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X5164))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5164),X5163))
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5164,X5163) = 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,
! [X3527] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3527))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3527),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| c_SEQ_OBseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X3527)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Bseq__realpow])]) ).
fof(i_0_2085,plain,
! [X4023] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4023))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4023),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| c_SEQ_Oconvergent(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4023)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_convergent__realpow])]) ).
fof(i_0_2086,plain,
! [X4022] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4022))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4022),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| c_SEQ_Omonoseq(tc_RealDef_Oreal,hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4022)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monoseq__realpow])]) ).
fof(i_0_2087,plain,
! [X4756,X4757,X4758] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4758,X4757),X4756) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4758,X4756),X4757),
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,
! [X5154,X5155] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5155),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X5154),X5155))
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5155,X5154) = 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,
! [X3019,X3020] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3020,X3019)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| X3019 = c_Groups_Ozero__class_Ozero(X3020)
| ~ class_RealVector_Oreal__normed__vector(X3020) )
& ( X3019 != c_Groups_Ozero__class_Ozero(X3020)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3020,X3019)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ class_RealVector_Oreal__normed__vector(X3020) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__le__zero__iff])])]) ).
fof(i_0_2095,plain,
! [X2998,X2999,X3000] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3000,X2999),X2998))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3000,X2999),X2998))
| ~ class_Orderings_Opreorder(X3000) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3000,X2998),X2999))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3000,X2999),X2998))
| ~ class_Orderings_Opreorder(X3000) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3000,X2999),X2998))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3000,X2998),X2999))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3000,X2999),X2998))
| ~ class_Orderings_Opreorder(X3000) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1395])])]) ).
fof(i_0_2096,plain,
! [X3518] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3518))
| c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3518),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatfloor(X3518)),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,
! [X3517] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3517))
| c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X3517),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_RComplete_Onatceiling(X3517)),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,
! [X5206,X5207,X5208] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5208,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5207),X5206)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5208,X5207),X5206),
inference(variable_rename,[status(thm)],[fact_div__mult2__eq]) ).
fof(i_0_2099,plain,
! [X4732,X4733,X4734] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4734,X4733),X4732) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4734,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4733),X4732)),
inference(variable_rename,[status(thm)],[fact_diff__diff__left]) ).
fof(i_0_2100,plain,
! [X3021,X3022] :
( ~ class_RealVector_Oreal__normed__vector(X3022)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3022,X3021)),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,
! [X4359] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X4359)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4359)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4359))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,X4359))) ) ),
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,
! [X4653,X4654] :
( ( c_Transcendental_Oln(X4654) != c_Transcendental_Oln(X4653)
| X4654 = X4653
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4653))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4654)) )
& ( X4654 != X4653
| c_Transcendental_Oln(X4654) = c_Transcendental_Oln(X4653)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4653))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X4654)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__inj__iff])])]) ).
fof(i_0_2105,plain,
! [X4355,X4356] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4356),c_RealDef_Oreal(tc_Nat_Onat,X4355)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4356)),X4355)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__le])]) ).
fof(i_0_2106,plain,
! [X5214,X5215,X5216] :
( ( X5216 != 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),X5216),X5215),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5216),X5214)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X5216 = 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),X5216),X5215),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5216),X5214)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5215,X5214) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__div__cancel__disj])]) ).
fof(i_0_2107,plain,
! [X4225,X4226,X4227] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4227),X4226) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4227),X4225)
| X4226 = X4225
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4227)) )
& ( X4226 != X4225
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4227),X4226) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4227),X4225)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4227)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__cancel1])])]) ).
fof(i_0_2108,plain,
! [X4729,X4730,X4731] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4731),X4730),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4731),X4729)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4730,X4729),
inference(variable_rename,[status(thm)],[fact_diff__cancel]) ).
fof(i_0_2109,plain,
! [X4726,X4727,X4728] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4728),X4727),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4726),X4727)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4728,X4726),
inference(variable_rename,[status(thm)],[fact_diff__cancel2]) ).
fof(i_0_2110,plain,
! [X5224,X5225] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5225))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5225),X5224),X5225) = X5224 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1__is__m])]) ).
fof(i_0_2111,plain,
! [X5222,X5223] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X5223))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5222),X5223),X5223) = X5222 ),
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,
! [X4716,X4717] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4717),X4716))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4716,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4716,X4717)) = X4717 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__diff__cancel])]) ).
fof(i_0_2116,plain,
! [X4212] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4212)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
| X4212 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
& ( X4212 != 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,X4212)),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,
! [X4351] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4351)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| X4351 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X4351 != 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,X4351)),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,
! [X4739,X4740,X4741] :
( ~ class_Groups_Ogroup__add(X4741)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4741),c_Groups_Ominus__class_Ominus(X4741,X4740,X4739)),X4739) = X4740 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])]) ).
fof(i_0_2120,plain,
! [X4337] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4337)),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,
! [X4251,X4252,X4253] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4253),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4252),X4251)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4252),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4253),X4251)),
inference(variable_rename,[status(thm)],[fact_zadd__left__commute]) ).
fof(i_0_2124,plain,
! [X3412,X3413,X3414] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3414),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3413),X3412)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3413),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3414),X3412)),
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,
! [X4827,X4828] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4828),X4827))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4828),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4827,X4828)) = X4827 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__add__diff__inverse])]) ).
fof(i_0_2127,plain,
! [X2971,X2972,X2973] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2973,X2972),X2971))
| X2972 = X2971
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2973,X2972),X2971))
| ~ class_Orderings_Olinorder(X2973) )
& ( X2972 != X2971
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2973,X2972),X2971))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2973,X2972),X2971))
| ~ class_Orderings_Olinorder(X2973) ) ),
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,
! [X2856,X2857,X2858] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2858,X2857),X2856))
| X2857 != X2856
| ~ class_Orderings_Oorder(X2858) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2858,X2856),X2857))
| X2857 != X2856
| ~ class_Orderings_Oorder(X2858) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2858,X2857),X2856))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2858,X2856),X2857))
| X2857 = X2856
| ~ class_Orderings_Oorder(X2858) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__eq__iff])])]) ).
fof(i_0_2130,plain,
! [X2845,X2846,X2847] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2847,X2845),X2846))
| X2845 = X2846
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2847,X2846),X2845))
| ~ class_Orderings_Oorder(X2847) )
& ( X2845 != X2846
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2847,X2845),X2846))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2847,X2846),X2845))
| ~ class_Orderings_Oorder(X2847) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__antisym__conv])])]) ).
fof(i_0_2131,plain,
! [X2826,X2827,X2828] :
( ~ class_Orderings_Oorder(X2828)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2828,X2827),X2826))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2828,X2826),X2827))
| X2827 = X2826 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__antisym])]) ).
fof(i_0_2132,plain,
! [X2819,X2820,X2821] :
( ~ class_Orderings_Oorder(X2821)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2821,X2820),X2819))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2821,X2819),X2820))
| X2819 = X2820 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I5_J])]) ).
fof(i_0_2133,plain,
! [X2898,X2899,X2900] :
( ~ class_Orderings_Oorder(X2900)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2900,X2899),X2898))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2900,X2898),X2899)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1406])]) ).
fof(i_0_2134,plain,
! [X2928,X2929,X2930] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2930,X2929),X2928))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2930,X2928),X2929))
| X2929 = X2928
| ~ class_Orderings_Olinorder(X2930) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2930,X2928),X2929))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2930,X2929),X2928))
| ~ class_Orderings_Olinorder(X2930) )
& ( X2929 != X2928
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2930,X2929),X2928))
| ~ class_Orderings_Olinorder(X2930) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1407])])]) ).
fof(i_0_2135,plain,
! [X3010,X3011,X3012] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3012,X3011),X3010))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3012,X3010),X3011))
| ~ class_Orderings_Olinorder(X3012) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3012,X3010),X3011))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3012,X3011),X3010))
| ~ class_Orderings_Olinorder(X3012) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1408])])]) ).
fof(i_0_2136,plain,
! [X2977,X2978,X2979] :
( ~ class_Orderings_Olinorder(X2979)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2979,X2978),X2977))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2979,X2977),X2978)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1409])]) ).
fof(i_0_2137,plain,
! [X3007,X3008,X3009] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3009,X3008),X3007))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3009,X3007),X3008))
| ~ class_Orderings_Olinorder(X3009) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3009,X3007),X3008))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3009,X3008),X3007))
| ~ class_Orderings_Olinorder(X3009) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1410])])]) ).
fof(i_0_2138,plain,
! [X2913,X2914,X2915] :
( ~ class_Orderings_Opreorder(X2915)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2915,X2914),X2913))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2915,X2913),X2914)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1411])]) ).
fof(i_0_2139,plain,
! [X2910,X2911,X2912] :
( ~ class_Orderings_Opreorder(X2912)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2912,X2911),X2910))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2912,X2910),X2911)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1412])]) ).
fof(i_0_2140,plain,
! [X2901,X2902,X2903] :
( ~ class_Orderings_Opreorder(X2903)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2903,X2902),X2901))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2903,X2901),X2902)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1413])]) ).
fof(i_0_2141,plain,
! [X2871,X2872,X2873] :
( ~ class_Orderings_Opreorder(X2873)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2873,X2872),X2871))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2873,X2871),X2872)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1414])]) ).
fof(i_0_2142,plain,
! [X2783,X2784] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2784,c_Groups_Ozero__class_Ozero(X2784)),c_Groups_Oabs__class_Oabs(X2784,X2783)))
| X2783 != c_Groups_Ozero__class_Ozero(X2784)
| ~ class_Groups_Oordered__ab__group__add__abs(X2784) )
& ( X2783 = c_Groups_Ozero__class_Ozero(X2784)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2784,c_Groups_Ozero__class_Ozero(X2784)),c_Groups_Oabs__class_Oabs(X2784,X2783)))
| ~ class_Groups_Oordered__ab__group__add__abs(X2784) ) ),
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,
! [X4308,X4309,X4310,X4311] : hAPP(hAPP(c_Power_Opower_Opower(X4311,X4310,X4309),X4308),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4310,
inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__0]) ).
fof(i_0_2145,plain,
! [X3721] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3721),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3721),X3721))),
inference(variable_rename,[status(thm)],[fact_le__square]) ).
fof(i_0_2146,plain,
! [X3248,X3249] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3249),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3249),X3248))),
inference(variable_rename,[status(thm)],[fact_le__add1]) ).
fof(i_0_2147,plain,
! [X3246,X3247] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3247),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3246),X3247))),
inference(variable_rename,[status(thm)],[fact_le__add2]) ).
fof(i_0_2148,plain,
! [X5327,X5328,X5329] :
( ~ class_Fields_Ofield__inverse__zero(X5329)
| ~ class_RealVector_Oreal__normed__field(X5329)
| c_RealVector_Onorm__class_Onorm(X5329,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5329),X5328),X5327)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5329,X5328)),c_RealVector_Onorm__class_Onorm(X5329,X5327)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__divide])]) ).
fof(i_0_2149,plain,
! [X3735,X3736,X3737] :
( ~ class_RealVector_Oreal__normed__div__algebra(X3737)
| c_Groups_Osgn__class_Osgn(X3737,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3737),X3736),X3735)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3737),c_Groups_Osgn__class_Osgn(X3737,X3736)),c_Groups_Osgn__class_Osgn(X3737,X3735)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__mult])]) ).
fof(i_0_2150,plain,
! [X3732,X3733,X3734] :
( ~ class_Rings_Olinordered__idom(X3734)
| c_Groups_Osgn__class_Osgn(X3734,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3734),X3733),X3732)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3734),c_Groups_Osgn__class_Osgn(X3734,X3733)),c_Groups_Osgn__class_Osgn(X3734,X3732)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__times])]) ).
fof(i_0_2151,plain,
! [X3699,X3700,X3701] :
( ~ class_Rings_Olinordered__idom(X3701)
| c_Groups_Oabs__class_Oabs(X3701,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3701),X3700),X3699)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3701),c_Groups_Oabs__class_Oabs(X3701,X3700)),c_Groups_Oabs__class_Oabs(X3701,X3699)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult])]) ).
fof(i_0_2152,plain,
! [X5340,X5341,X5342] :
( ~ class_RealVector_Oreal__normed__field(X5342)
| X5341 = c_Groups_Ozero__class_Ozero(X5342)
| c_RealVector_Onorm__class_Onorm(X5342,hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5342),X5340),X5341)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5342,X5340)),c_RealVector_Onorm__class_Onorm(X5342,X5341)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__norm__divide])]) ).
fof(i_0_2153,plain,
! [X4837,X4838,X4839] :
( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4838,X4839) != X4837
| X4838 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4837),X4839)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4839),X4838)) )
& ( X4838 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4837),X4839)
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4838,X4839) = X4837
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4839),X4838)) ) ),
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,
! [X4011] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4011)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4011),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4011),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X4011)),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,
! [X4753,X4754,X4755] :
( ~ class_RealVector_Oreal__normed__vector(X4755)
| c_RealVector_Onorm__class_Onorm(X4755,c_Groups_Ominus__class_Ominus(X4755,X4754,X4753)) = c_RealVector_Onorm__class_Onorm(X4755,c_Groups_Ominus__class_Ominus(X4755,X4753,X4754)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__commute])]) ).
fof(i_0_2157,plain,
! [X4770,X4771,X4772] :
( ~ class_Groups_Oordered__ab__group__add__abs(X4772)
| c_Groups_Oabs__class_Oabs(X4772,c_Groups_Ominus__class_Ominus(X4772,X4771,X4770)) = c_Groups_Oabs__class_Oabs(X4772,c_Groups_Ominus__class_Ominus(X4772,X4770,X4771)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__minus__commute])]) ).
fof(i_0_2158,plain,
! [X3531,X3532,X3533] :
( ~ class_RealVector_Oreal__normed__div__algebra(X3533)
| c_RealVector_Onorm__class_Onorm(X3533,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3533),X3532),X3531)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3533,X3532)),c_RealVector_Onorm__class_Onorm(X3533,X3531)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__mult])]) ).
fof(i_0_2159,plain,
! [X4010] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X4010)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4010)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4010))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_RComplete_Onatfloor(X4010))) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__natfloor__eq__one])]) ).
fof(i_0_2160,plain,
! [X4256,X4257] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4257),X4256))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4256),X4257))
| X4257 = X4256 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__antisym])]) ).
fof(i_0_2161,plain,
! [X3275,X3276] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3276),X3275))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3275),X3276))
| X3276 = X3275 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__antisym])]) ).
fof(i_0_2162,plain,
! [X2936,X2937] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2937),X2936))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2936),X2937))
| X2937 = X2936 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).
fof(i_0_2163,plain,
! [X4671] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4671))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4671))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ln__gt__zero])]) ).
fof(i_0_2164,plain,
! [X4665] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X4665))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Transcendental_Oln(X4665))) ),
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,
! [X3342,X3343,X3344] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| X3344 = X3343
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3344),X3343)) )
& ( ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| X3344 = X3343
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3344),X3343)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3344),X3343)) )
& ( ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3344),X3343)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| X3344 = X3343
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344)) )
& ( ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| X3344 = X3343
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344)) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344)) )
& ( ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344))
| ~ hBOOL(hAPP(hAPP(X3342,X3343),X3344)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__cases])])]) ).
fof(i_0_2167,plain,
! [X3017,X3018] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X3018,X3017)))
| X3017 != c_Groups_Ozero__class_Ozero(X3018)
| ~ class_RealVector_Oreal__normed__vector(X3018) )
& ( X3017 = c_Groups_Ozero__class_Ozero(X3018)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X3018,X3017)))
| ~ class_RealVector_Oreal__normed__vector(X3018) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__norm__iff])])]) ).
fof(i_0_2168,plain,
! [X3739,X3740] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3740),X3739))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(X3740)),c_RComplete_Onatfloor(X3739))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__mono])]) ).
fof(i_0_2169,plain,
! [X3753,X3754] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3754),X3753))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X3754)),c_RComplete_Onatceiling(X3753))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natceiling__mono])]) ).
fof(i_0_2170,plain,
! [X4086,X4087,X4088] :
( ~ class_Rings_Olinordered__idom(X4088)
| c_Groups_Oabs__class_Oabs(X4088,hAPP(hAPP(c_Power_Opower__class_Opower(X4088),X4087),X4086)) = hAPP(hAPP(c_Power_Opower__class_Opower(X4088),c_Groups_Oabs__class_Oabs(X4088,X4087)),X4086) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__abs])]) ).
fof(i_0_2171,plain,
! [X4213] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4213))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4213)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4213))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),X4213)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__one__le__iff__zero__less])]) ).
fof(i_0_2172,plain,
! [X4858,X4859] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4859),X4858))
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4858),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4859,X4858)) = X4859 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1417])]) ).
fof(i_0_2173,plain,
! [X3528,X3529,X3530] :
( ~ class_RealVector_Oreal__normed__div__algebra(X3530)
| c_RealVector_Onorm__class_Onorm(X3530,hAPP(hAPP(c_Power_Opower__class_Opower(X3530),X3529),X3528)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3530,X3529)),X3528) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__power])]) ).
fof(i_0_2174,plain,
! [X3001,X3002,X3003] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3003,X3002),X3001))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3003,X3002),X3001))
| ~ class_Orderings_Oorder(X3003) )
& ( X3002 != X3001
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3003,X3002),X3001))
| ~ class_Orderings_Oorder(X3003) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3003,X3002),X3001))
| X3002 = X3001
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3003,X3002),X3001))
| ~ class_Orderings_Oorder(X3003) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__le])])]) ).
fof(i_0_2175,plain,
! [X2995,X2996,X2997] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2997,X2996),X2995))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2997,X2996),X2995))
| X2996 = X2995
| ~ class_Orderings_Oorder(X2997) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2997,X2996),X2995))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2997,X2996),X2995))
| ~ class_Orderings_Oorder(X2997) )
& ( X2996 != X2995
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2997,X2996),X2995))
| ~ class_Orderings_Oorder(X2997) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__less])])]) ).
fof(i_0_2176,plain,
! [X2983,X2984,X2985] :
( ~ class_Orderings_Oorder(X2985)
| X2984 = X2983
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2985,X2984),X2983))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2985,X2984),X2983)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__neq__le__trans])]) ).
fof(i_0_2177,plain,
! [X2968,X2969,X2970] :
( ~ class_Orderings_Oorder(X2970)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2970,X2969),X2968))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2970,X2969),X2968))
| X2969 = X2968 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__imp__less__or__eq])]) ).
fof(i_0_2178,plain,
! [X2965,X2966,X2967] :
( ~ class_Orderings_Oorder(X2967)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2967,X2966),X2965))
| X2966 = X2965
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2967,X2966),X2965)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__le__neq__trans])]) ).
fof(i_0_2179,plain,
! [X2962,X2963,X2964] :
( ~ class_Orderings_Oorder(X2964)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2964,X2963),X2962))
| X2962 = X2963
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2964,X2963),X2962)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I11_J])]) ).
fof(i_0_2180,plain,
! [X2986,X2987,X2988] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2988,X2987),X2986))
| X2987 = X2986
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2988,X2987),X2986))
| ~ class_Orderings_Olinorder(X2988) )
& ( X2987 != X2986
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2988,X2987),X2986))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2988,X2987),X2986))
| ~ class_Orderings_Olinorder(X2988) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1418])])]) ).
fof(i_0_2181,plain,
! [X2980,X2981,X2982] :
( ~ class_Orderings_Oorder(X2982)
| X2981 = X2980
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2982,X2980),X2981))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2982,X2980),X2981)) ),
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,
! [X4167,X4168] :
( ( X4168 = c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4168),X4167) != 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)),X4168)) )
& ( X4167 = c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4168),X4167) != 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)),X4168)) )
& ( X4168 != c_Groups_Oone__class_Oone(tc_Int_Oint)
| X4167 != c_Groups_Oone__class_Oone(tc_Int_Oint)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4168),X4167) = 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)),X4168)) ) ),
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,
! [X2974,X2975,X2976] :
( ~ class_Orderings_Opreorder(X2976)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2976,X2975),X2974))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2976,X2975),X2974)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__le])]) ).
fof(i_0_2189,plain,
! [X4342,X4343] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4343),X4342)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4343)),c_RealDef_Oreal(tc_Nat_Onat,X4342)),
inference(variable_rename,[status(thm)],[fact_real__of__nat__mult]) ).
fof(i_0_2190,plain,
! [X4344,X4345] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4345),X4344)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4345)),c_RealDef_Oreal(tc_Nat_Onat,X4344)),
inference(variable_rename,[status(thm)],[fact_real__of__nat__add]) ).
fof(i_0_2191,plain,
! [X3290,X3291] : hAPP(c_Complex_ORe,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X3291),X3290)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X3291)),hAPP(c_Complex_ORe,X3290)),
inference(variable_rename,[status(thm)],[fact_Re_Oadd]) ).
fof(i_0_2192,plain,
! [X3332,X3333] : hAPP(c_Complex_OIm,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X3333),X3332)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X3333)),hAPP(c_Complex_OIm,X3332)),
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,
! [X5045,X5046] : hAPP(c_Complex_ORe,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5046,X5045)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X5046),hAPP(c_Complex_ORe,X5045)),
inference(variable_rename,[status(thm)],[fact_Re_Odiff]) ).
fof(i_0_2196,plain,
! [X5047,X5048] : hAPP(c_Complex_OIm,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5048,X5047)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(c_Complex_OIm,X5048),hAPP(c_Complex_OIm,X5047)),
inference(variable_rename,[status(thm)],[fact_Im_Odiff]) ).
fof(i_0_2197,plain,
! [X3331] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,X3331)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3331))),
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(esk49_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,
! [X4197,X4198] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4198),X4197))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4198),X4197)) )
& ( X4198 != X4197
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4198),X4197)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4198),X4197))
| X4198 = X4197
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4198),X4197)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__le])])]) ).
fof(i_0_2202,plain,
! [X3360,X3361] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3361),X3360))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3361),X3360)) )
& ( X3361 != X3360
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3361),X3360)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3361),X3360))
| X3361 = X3360
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3361),X3360)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__le])])]) ).
fof(i_0_2203,plain,
! [X3358,X3359] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3359),X3358))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3359),X3358))
| X3359 = X3358 )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3359),X3358))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3359),X3358)) )
& ( X3359 != X3358
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3359),X3358)) ) ),
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,
! [X3347,X3348] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3348),X3347))
| X3348 = X3347
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3348),X3347)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__neq__implies__less])]) ).
fof(i_0_2205,plain,
! [X2798,X2799] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2799),X2798))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2799),X2798))
| X2799 = X2798 )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2799),X2798))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2799),X2798)) )
& ( X2799 != X2798
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2799),X2798)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])]) ).
fof(i_0_2206,plain,
! [X2796,X2797] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2797),X2796))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2797),X2796)) )
& ( X2797 != X2796
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2797),X2796)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2797),X2796))
| X2797 = X2796
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2797),X2796)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__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,
! [X3376,X3377] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3377),X3376))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3377),X3376)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I5_J])]) ).
fof(i_0_2212,plain,
! [X3349,X3350] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3350),X3349))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3350),X3349)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__le__nat])]) ).
fof(i_0_2213,plain,
! [X3345,X3346] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3346),X3345))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3346),X3345)) )
& ( X3346 != X3345
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3346),X3345)) ) ),
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,
! [X4348,X4349] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4349)),X4348) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4349),X4348)),
inference(variable_rename,[status(thm)],[fact_power__real__of__nat]) ).
fof(i_0_2215,plain,
! [X4346,X4347] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4347),X4346)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X4347)),X4346),
inference(variable_rename,[status(thm)],[fact_real__of__nat__power]) ).
fof(i_0_2216,plain,
! [X3234] :
( ~ class_Rings_Olinordered__semidom(X3234)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3234,c_Groups_Oone__class_Oone(X3234)),c_Groups_Ozero__class_Ozero(X3234))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1423])]) ).
fof(i_0_2217,plain,
! [X3236] :
( ~ class_Rings_Olinordered__semidom(X3236)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3236,c_Groups_Oone__class_Oone(X3236)),c_Groups_Ozero__class_Ozero(X3236))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1424])]) ).
fof(i_0_2218,plain,
! [X3512,X3513] :
( ( c_Groups_Osgn__class_Osgn(X3513,X3512) != c_Groups_Oone__class_Oone(X3513)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3513,c_Groups_Ozero__class_Ozero(X3513)),X3512))
| ~ class_Rings_Olinordered__idom(X3513) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3513,c_Groups_Ozero__class_Ozero(X3513)),X3512))
| c_Groups_Osgn__class_Osgn(X3513,X3512) = c_Groups_Oone__class_Oone(X3513)
| ~ class_Rings_Olinordered__idom(X3513) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__1__pos])])]) ).
fof(i_0_2219,plain,
! [X3510,X3511] :
( ~ class_Rings_Olinordered__idom(X3511)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3511,c_Groups_Ozero__class_Ozero(X3511)),X3510))
| c_Groups_Osgn__class_Osgn(X3511,X3510) = c_Groups_Oone__class_Oone(X3511) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__pos])]) ).
fof(i_0_2220,plain,
! [X3469,X3470,X3472,X3473,X3474] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3470),X3469))
| X3469 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3470),esk17_2(X3469,X3470)) )
& ( X3472 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3473),X3474)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3473),X3472)) ) ),
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,
! [X3250,X3251,X3253,X3254,X3255] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3251),X3250))
| X3250 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3251),esk10_2(X3250,X3251)) )
& ( X3253 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3254),X3255)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3254),X3253)) ) ),
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,
! [X2785,X2786] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2786)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2786,c_Groups_Ozero__class_Ozero(X2786)),X2785))
| c_Groups_Oabs__class_Oabs(X2786,X2785) = X2785 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__pos])]) ).
fof(i_0_2224,plain,
! [X2791,X2792] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2792)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2792,c_Groups_Ozero__class_Ozero(X2792)),X2791))
| c_Groups_Oabs__class_Oabs(X2792,X2791) = X2791 ),
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,
! [X3702,X3703] :
( ~ class_Rings_Olinordered__idom(X3703)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3703),c_Groups_Oabs__class_Oabs(X3703,X3702)),c_Groups_Oabs__class_Oabs(X3703,X3702)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3703),X3702),X3702) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__mult__self])]) ).
fof(i_0_2227,plain,
! [X5098,X5099] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5099),X5098))
| c_Nat__Transfer_Otsub(X5098,X5099) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5098,X5099) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_tsub__eq])]) ).
fof(i_0_2228,plain,
! [X5094,X5095] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5095),X5094))
| c_Nat__Transfer_Otsub(X5094,X5095) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5094,X5095) )
& ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5095),X5094))
| c_Nat__Transfer_Otsub(X5094,X5095) = 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,
! [X4759,X4760,X4761,X4762,X4763] :
( ( X4762 != X4761
| X4760 = X4759
| c_Groups_Ominus__class_Ominus(X4763,X4762,X4761) != c_Groups_Ominus__class_Ominus(X4763,X4760,X4759)
| ~ class_Groups_Oab__group__add(X4763) )
& ( X4760 != X4759
| X4762 = X4761
| c_Groups_Ominus__class_Ominus(X4763,X4762,X4761) != c_Groups_Ominus__class_Ominus(X4763,X4760,X4759)
| ~ class_Groups_Oab__group__add(X4763) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__eq])])]) ).
fof(i_0_2230,plain,
! [X4357,X4358] :
( X4358 != c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X4358))
| c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X4358),X4357)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(X4358)),X4357) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_natfloor__power])]) ).
fof(i_0_2231,plain,
! [X4169,X4170] :
( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4170),X4169)) != c_Groups_Oone__class_Oone(tc_Int_Oint)
| c_Groups_Oabs__class_Oabs(tc_Int_Oint,X4170) = 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,
! [X4776,X4777] :
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4777,X4776) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4776,X4777) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4777 = X4776 ),
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,
! [X5217,X5218] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5218),X5217))
| c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5218,X5217) = 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,
! [X4864,X4865] :
( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4865,X4864) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4865),X4864)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4865),X4864))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4865,X4864) = 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,
! [X4862,X4863] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X4863),X4862))
| c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4863,X4862) = 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,
! [X2931,X2932,X2933] :
( ( X2932 = X2931
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2933,X2932),X2931))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2933,X2931),X2932))
| ~ class_Orderings_Olinorder(X2933) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2933,X2932),X2931))
| X2932 != X2931
| ~ class_Orderings_Olinorder(X2933) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2933,X2931),X2932))
| X2932 != X2931
| ~ class_Orderings_Olinorder(X2933) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__neq__iff])])]) ).
fof(i_0_2239,plain,
! [X3335,X3336,X3337] :
( ~ class_Rings_Olinordered__idom(X3337)
| X3336 = X3335
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3337,X3336),X3335))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3337,X3335),X3336)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1429])]) ).
fof(i_0_2240,plain,
! [X2925,X2926,X2927] :
( ~ class_Orderings_Olinorder(X2927)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2927,X2926),X2925))
| X2926 = X2925
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2927,X2925),X2926)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__less__linear])]) ).
fof(i_0_2241,plain,
! [X2922,X2923,X2924] :
( ( hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2924,X2922),X2923))
| X2922 = X2923
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2924,X2923),X2922))
| ~ class_Orderings_Olinorder(X2924) )
& ( X2922 != X2923
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2924,X2922),X2923))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2924,X2923),X2922))
| ~ class_Orderings_Olinorder(X2924) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1430])])]) ).
fof(i_0_2242,plain,
! [X2919,X2920,X2921] :
( ~ class_Orderings_Olinorder(X2921)
| X2920 = X2919
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2921,X2920),X2919))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2921,X2919),X2920)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1431])]) ).
fof(i_0_2243,plain,
! [X2868,X2869,X2870] :
( ~ class_Orderings_Olinorder(X2870)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2870,X2869),X2868))
| X2869 = X2868
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2870,X2868),X2869)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1432])]) ).
fof(i_0_2244,plain,
! [X3064,X3065,X3066,X3067] :
( ~ class_Groups_Ocancel__semigroup__add(X3067)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3067),X3066),X3065) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3067),X3064),X3065)
| X3066 = X3064 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__imp__eq])]) ).
fof(i_0_2245,plain,
! [X3052,X3053,X3054,X3055] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3055),X3054),X3053) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3055),X3052),X3053)
| X3054 = X3052
| ~ class_Groups_Ocancel__semigroup__add(X3055) )
& ( X3054 != X3052
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3055),X3054),X3053) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3055),X3052),X3053)
| ~ class_Groups_Ocancel__semigroup__add(X3055) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__cancel])])]) ).
fof(i_0_2246,plain,
! [X3060,X3061,X3062,X3063] :
( ~ class_Groups_Ocancel__ab__semigroup__add(X3063)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3063),X3062),X3061) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3063),X3062),X3060)
| X3061 = X3060 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__imp__eq])]) ).
fof(i_0_2247,plain,
! [X3056,X3057,X3058,X3059] :
( ~ class_Groups_Ocancel__semigroup__add(X3059)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3059),X3058),X3057) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3059),X3058),X3056)
| X3057 = X3056 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__imp__eq])]) ).
fof(i_0_2248,plain,
! [X3048,X3049,X3050,X3051] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3051),X3050),X3049) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3051),X3050),X3048)
| X3049 = X3048
| ~ class_Groups_Ocancel__semigroup__add(X3051) )
& ( X3049 != X3048
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3051),X3050),X3049) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3051),X3050),X3048)
| ~ class_Groups_Ocancel__semigroup__add(X3051) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__cancel])])]) ).
fof(i_0_2249,plain,
! [X3004,X3005,X3006] :
( ~ class_Orderings_Olinorder(X3006)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3006,X3005),X3004))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3006,X3004),X3005)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__le__less__linear])]) ).
fof(i_0_2250,plain,
! [X2989,X2990,X2991] :
( ~ class_Orderings_Olinorder(X2991)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2991,X2990),X2989))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2991,X2989),X2990)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1433])]) ).
fof(i_0_2251,plain,
! [X2992,X2993,X2994] :
( ~ class_Orderings_Olinorder(X2994)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2994,X2993),X2992))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2994,X2992),X2993)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1434])]) ).
fof(i_0_2252,plain,
! [X2859,X2860,X2861] :
( ~ class_Orderings_Olinorder(X2861)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2861,X2860),X2859))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2861,X2859),X2860)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_linorder__linear])]) ).
fof(i_0_2253,plain,
! [X2807,X2808,X2809] :
( ~ class_Orderings_Olinorder(X2809)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2809,X2808),X2807))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2809,X2807),X2808)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1435])]) ).
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,
! [X5119,X5120,X5121] :
( ~ class_Divides_Osemiring__div(X5121)
| X5120 = c_Groups_Ozero__class_Ozero(X5121)
| c_Divides_Odiv__class_Odiv(X5121,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5121),X5120),X5119),X5120) = X5119 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1__is__id])]) ).
fof(i_0_2257,plain,
! [X5116,X5117,X5118] :
( ~ class_Divides_Osemiring__div(X5118)
| X5117 = c_Groups_Ozero__class_Ozero(X5118)
| c_Divides_Odiv__class_Odiv(X5118,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5118),X5116),X5117),X5117) = X5116 ),
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,
! [X2787,X2788] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2788)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2788,c_Groups_Ozero__class_Ozero(X2788)),c_Groups_Oabs__class_Oabs(X2788,X2787))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__zero])]) ).
fof(i_0_2262,plain,
! [X4742,X4743,X4744] :
( ~ class_Groups_Ogroup__add(X4744)
| c_Groups_Ominus__class_Ominus(X4744,hAPP(hAPP(c_Groups_Oplus__class_Oplus(X4744),X4743),X4742),X4742) = X4743 ),
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,
! [X3929,X3930] : c_Complex_Oexpi(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex),X3930),X3929)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oexpi(X3930)),c_Complex_Oexpi(X3929)),
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,
! [X4199,X4200] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4200),X4199))
| X4200 = X4199
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4199),X4200)) ),
inference(variable_rename,[status(thm)],[fact_zless__linear]) ).
fof(i_0_2268,plain,
! [X3362,X3363] :
( ( X3363 = X3362
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3363),X3362))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3362),X3363)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3363),X3362))
| X3363 != X3362 )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3362),X3363))
| X3363 != X3362 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__neq__iff])])]) ).
fof(i_0_2269,plain,
! [X3356,X3357] :
( X3357 = X3356
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3357),X3356))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3356),X3357)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1441])]) ).
fof(i_0_2270,plain,
! [X3509] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X3509))
| c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X3509) = 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,
! [X4669] :
( ( c_Transcendental_Oln(X4669) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X4669 = 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)),X4669)) )
& ( X4669 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| c_Transcendental_Oln(X4669) = 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)),X4669)) ) ),
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,
! [X4261,X4262] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4262),X4261))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4261),X4262)) ),
inference(variable_rename,[status(thm)],[fact_zle__linear]) ).
fof(i_0_2274,plain,
! [X3256,X3257] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3257),X3256))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3256),X3257)) ),
inference(variable_rename,[status(thm)],[fact_nat__le__linear]) ).
fof(i_0_2275,plain,
! [X2941,X2942] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2942),X2941))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2941),X2942)) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(i_0_2276,plain,
! [X3690,X3691,X3692] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3692),X3691) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3690),X3691)
| X3692 = X3690
| X3691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3692 != X3690
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3692),X3691) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3690),X3691) )
& ( X3691 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3692),X3691) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3690),X3691) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__cancel2])])]) ).
fof(i_0_2277,plain,
! [X3693,X3694,X3695] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3694),X3695) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3693),X3695)
| X3694 = X3693
| X3695 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X3694 != X3693
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3694),X3695) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3693),X3695)
| X3695 = 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,
! [X4215,X4216,X4217] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4217),X4216) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4217),X4215)
| X4217 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X4216 = X4215 )
& ( X4217 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4217),X4216) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4217),X4215) )
& ( X4216 != X4215
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4217),X4216) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4217),X4215) ) ),
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,
! [X3687,X3688,X3689] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3689),X3688) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3689),X3687)
| X3688 = X3687
| X3689 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3688 != X3687
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3689),X3688) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3689),X3687) )
& ( X3689 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3689),X3688) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3689),X3687) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__cancel1])])]) ).
fof(i_0_2280,plain,
! [X3696,X3697,X3698] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3698),X3697) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3698),X3696)
| X3697 = X3696
| X3698 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X3697 != X3696
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3698),X3697) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X3698),X3696)
| X3698 = 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,
! [X5376] : hAPP(c_Complex_ORe,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X5376)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X5376)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5376)),
inference(variable_rename,[status(thm)],[fact_Re__sgn]) ).
fof(i_0_2282,plain,
! [X5375] : hAPP(c_Complex_OIm,c_Groups_Osgn__class_Osgn(tc_Complex_Ocomplex,X5375)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X5375)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5375)),
inference(variable_rename,[status(thm)],[fact_Im__sgn]) ).
fof(i_0_2283,plain,
! [X5363,X5364,X5365,X5366] :
( ~ class_Rings_Odivision__ring(X5366)
| X5365 = c_Groups_Ozero__class_Ozero(X5366)
| X5364 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5366),X5363),X5365)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5366),X5364),X5365) = X5363 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__eq__imp])]) ).
fof(i_0_2284,plain,
! [X5367,X5368,X5369,X5370] :
( ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5370),X5368),X5369) != X5367
| X5368 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5370),X5367),X5369)
| X5369 = c_Groups_Ozero__class_Ozero(X5370)
| ~ class_Rings_Odivision__ring(X5370) )
& ( X5368 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5370),X5367),X5369)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5370),X5368),X5369) = X5367
| X5369 = c_Groups_Ozero__class_Ozero(X5370)
| ~ class_Rings_Odivision__ring(X5370) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__divide__eq__eq])])]) ).
fof(i_0_2285,plain,
! [X5371,X5372,X5373,X5374] :
( ( X5372 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5374),X5371),X5373)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5374),X5372),X5373) = X5371
| X5373 = c_Groups_Ozero__class_Ozero(X5374)
| ~ class_Rings_Odivision__ring(X5374) )
& ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5374),X5372),X5373) != X5371
| X5372 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5374),X5371),X5373)
| X5373 = c_Groups_Ozero__class_Ozero(X5374)
| ~ class_Rings_Odivision__ring(X5374) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__eq__divide__eq])])]) ).
fof(i_0_2286,plain,
! [X5359,X5360,X5361,X5362] :
( ~ class_Rings_Odivision__ring(X5362)
| X5361 = c_Groups_Ozero__class_Ozero(X5362)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5362),X5360),X5361) != X5359
| X5360 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5362),X5359),X5361) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__divide__imp])]) ).
fof(i_0_2287,plain,
! [X3023,X3024] :
( ~ class_RealVector_Oreal__normed__vector(X3024)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X3024,X3023))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__ge__zero])]) ).
fof(i_0_2288,plain,
! [X3403,X3404,X3405] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3405),X3404) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3403),X3404)
| X3405 = X3403 )
& ( X3405 != X3403
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3405),X3404) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3403),X3404) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__right__cancel])]) ).
fof(i_0_2289,plain,
! [X3406,X3407,X3408] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3408),X3407) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3408),X3406)
| X3407 = X3406 )
& ( X3407 != X3406
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3408),X3407) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3408),X3406) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel])]) ).
fof(i_0_2290,plain,
! [X4350] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4350),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X4350)))),
inference(variable_rename,[status(thm)],[fact_real__natceiling__ge]) ).
fof(i_0_2291,plain,
! [X4866,X4867] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4867,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4867),X4866)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_diff__add__0]) ).
fof(i_0_2292,plain,
! [X3373] :
( ( X3373 = 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)),X3373)) )
& ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3373))
| X3373 != 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,
! [X4735,X4736] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X4736),X4735),X4736) = X4735,
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,
! [X2800,X2801] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2801)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2801,X2800),c_Groups_Oabs__class_Oabs(X2801,X2800))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__ge__self])]) ).
fof(i_0_2296,plain,
! [X2916,X2917,X2918] :
( ~ class_Orderings_Oorder(X2918)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2918,X2917),X2916))
| X2917 != X2916 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__neq])]) ).
fof(i_0_2297,plain,
! [X2907,X2908,X2909] :
( ~ class_Orderings_Oorder(X2909)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2909,X2908),X2907))
| X2908 != X2907 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__not__eq])]) ).
fof(i_0_2298,plain,
! [X2904,X2905,X2906] :
( ~ class_Orderings_Oorder(X2906)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2906,X2905),X2904))
| X2904 != X2905 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__not__eq2])]) ).
fof(i_0_2299,plain,
! [X3923,X3924] :
( ~ class_Rings_Olinordered__idom(X3924)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3924),c_Groups_Osgn__class_Osgn(X3924,X3923)),c_Groups_Oabs__class_Oabs(X3924,X3923)) = X3923 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__sgn__abs])]) ).
fof(i_0_2300,plain,
! [X2934,X2935] :
( ~ class_Orderings_Opreorder(X2935)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X2935,X2934),X2934)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1443])]) ).
fof(i_0_2301,plain,
! [X3927] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3927),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_RComplete_Onatfloor(X3927) = 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,
! [X3928] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3928),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| c_RComplete_Onatceiling(X3928) = 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,
! [X3227,X3228] :
( ~ c_SEQ_Osubseq(X3228)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3227),hAPP(X3228,X3227))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_seq__suble])]) ).
fof(i_0_2304,plain,
! [X4330] : 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,X4330))),
inference(variable_rename,[status(thm)],[fact_real__of__nat__ge__zero]) ).
fof(i_0_2305,plain,
! [X3340] :
( ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3340),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| X3340 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3340 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3340),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,
! [X3374] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3374),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(variable_rename,[status(thm)],[i_0_1444]) ).
fof(i_0_2307,plain,
! [X3372] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3372),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(variable_rename,[status(thm)],[i_0_1445]) ).
fof(i_0_2308,plain,
! [X3230] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3230),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(variable_rename,[status(thm)],[i_0_1446]) ).
fof(i_0_2309,plain,
! [X2778,X2779] :
( hAPP(X2779,esk1_2(X2778,X2779)) != hAPP(X2778,esk1_2(X2778,X2779))
| X2779 = X2778 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])]) ).
fof(i_0_2310,plain,
! [X3235] :
( ~ class_Rings_Olinordered__semidom(X3235)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X3235,c_Groups_Ozero__class_Ozero(X3235)),c_Groups_Oone__class_Oone(X3235))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__one])]) ).
fof(i_0_2311,plain,
! [X3237] :
( ~ class_Rings_Olinordered__semidom(X3237)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X3237,c_Groups_Ozero__class_Ozero(X3237)),c_Groups_Oone__class_Oone(X3237))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__one])]) ).
fof(i_0_2312,plain,
! [X3370,X3371] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3371),X3370))
| X3370 != 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,
! [X3417,X3418] :
( ~ class_RealVector_Ometric__space(X3418)
| c_SEQ_Oconvergent(X3418,c_COMBK(X3418,tc_Nat_Onat,X3417)) ),
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,
! [X4104,X4105,X4106] :
( ( X4105 = c_Groups_Ozero__class_Ozero(X4106)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4106),X4105),X4104) != c_Groups_Ozero__class_Ozero(X4106)
| ~ class_Power_Opower(X4106)
| ~ class_Rings_Omult__zero(X4106)
| ~ class_Rings_Ono__zero__divisors(X4106)
| ~ class_Rings_Ozero__neq__one(X4106) )
& ( X4104 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4106),X4105),X4104) != c_Groups_Ozero__class_Ozero(X4106)
| ~ class_Power_Opower(X4106)
| ~ class_Rings_Omult__zero(X4106)
| ~ class_Rings_Ono__zero__divisors(X4106)
| ~ class_Rings_Ozero__neq__one(X4106) )
& ( X4105 != c_Groups_Ozero__class_Ozero(X4106)
| X4104 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4106),X4105),X4104) = c_Groups_Ozero__class_Ozero(X4106)
| ~ class_Power_Opower(X4106)
| ~ class_Rings_Omult__zero(X4106)
| ~ class_Rings_Ono__zero__divisors(X4106)
| ~ class_Rings_Ozero__neq__one(X4106) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__0__iff])])]) ).
fof(i_0_2316,plain,
! [X3353,X3354] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3354),X3353))
| X3353 != X3354 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl2])]) ).
fof(i_0_2317,plain,
! [X3351,X3352] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3352),X3351))
| X3352 != X3351 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl3])]) ).
fof(i_0_2318,plain,
! [X5479,X5480,X5481,X5482] : hAPP(c_COMBK(X5482,X5481,X5480),X5479) = X5480,
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,
! [X5301,X5302,X5303,X5304] : c_Complex_Ocomplex_Ocomplex__case(X5304,X5303,c_Complex_Ocomplex_OComplex(X5302,X5301)) = hAPP(hAPP(X5303,X5302),X5301),
inference(variable_rename,[status(thm)],[fact_complex_Osimps_I2_J]) ).
fof(i_0_2322,plain,
! [X5297,X5298,X5299,X5300] : c_Complex_Ocomplex_Ocomplex__rec(X5300,X5299,c_Complex_Ocomplex_OComplex(X5298,X5297)) = hAPP(hAPP(X5299,X5298),X5297),
inference(variable_rename,[status(thm)],[fact_complex_Orecs]) ).
fof(i_0_2323,plain,
! [X3364] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3364),X3364)),
inference(variable_rename,[status(thm)],[i_0_1449]) ).
fof(i_0_2324,plain,
! [X3355] : ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3355),X3355)),
inference(variable_rename,[status(thm)],[i_0_1450]) ).
fof(i_0_2325,plain,
! [X3540,X3541,X3542] :
( ~ class_Rings_Ocomm__semiring__1(X3542)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3542),X3541),X3540) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3542),X3540),X3541) ),
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,
! [X3450,X3451,X3452] :
( ~ class_Rings_Ocomm__semiring__1(X3452)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3452),X3451),X3450) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3452),X3450),X3451) ),
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,
! [X3619,X3620,X3621] :
( ~ class_Rings_Ono__zero__divisors(X3621)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3621),X3620),X3619) != c_Groups_Ozero__class_Ozero(X3621)
| X3620 = c_Groups_Ozero__class_Ozero(X3621)
| X3619 = c_Groups_Ozero__class_Ozero(X3621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divisors__zero])]) ).
fof(i_0_2329,plain,
! [X3616,X3617,X3618] :
( ~ class_Rings_Ono__zero__divisors(X3618)
| X3617 = c_Groups_Ozero__class_Ozero(X3618)
| X3616 = c_Groups_Ozero__class_Ozero(X3618)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3618),X3617),X3616) != c_Groups_Ozero__class_Ozero(X3618) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_no__zero__divisors])]) ).
fof(i_0_2330,plain,
! [X3613,X3614,X3615] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3615),X3614),X3613) != c_Groups_Ozero__class_Ozero(X3615)
| X3614 = c_Groups_Ozero__class_Ozero(X3615)
| X3613 = c_Groups_Ozero__class_Ozero(X3615)
| ~ class_Rings_Oring__no__zero__divisors(X3615) )
& ( X3614 != c_Groups_Ozero__class_Ozero(X3615)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3615),X3614),X3613) = c_Groups_Ozero__class_Ozero(X3615)
| ~ class_Rings_Oring__no__zero__divisors(X3615) )
& ( X3613 != c_Groups_Ozero__class_Ozero(X3615)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3615),X3614),X3613) = c_Groups_Ozero__class_Ozero(X3615)
| ~ class_Rings_Oring__no__zero__divisors(X3615) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__0__iff])])]) ).
fof(i_0_2331,plain,
! [X5352,X5353,X5354] :
( ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5354),X5352),X5353) != c_Groups_Oone__class_Oone(X5354)
| X5352 = X5353
| X5353 = c_Groups_Ozero__class_Ozero(X5354)
| ~ class_Rings_Odivision__ring(X5354) )
& ( X5352 != X5353
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5354),X5352),X5353) = c_Groups_Oone__class_Oone(X5354)
| X5353 = c_Groups_Ozero__class_Ozero(X5354)
| ~ class_Rings_Odivision__ring(X5354) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__inverse__eq])])]) ).
fof(i_0_2332,plain,
! [X4803,X4804,X4805] :
( ( X4804 != X4803
| c_Groups_Ominus__class_Ominus(X4805,X4804,X4803) = c_Groups_Ozero__class_Ozero(X4805)
| ~ class_Groups_Oab__group__add(X4805) )
& ( c_Groups_Ominus__class_Ominus(X4805,X4804,X4803) != c_Groups_Ozero__class_Ozero(X4805)
| X4804 = X4803
| ~ class_Groups_Oab__group__add(X4805) ) ),
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,
! [X4806,X4807,X4808] :
( ( c_Groups_Ominus__class_Ominus(X4808,X4807,X4806) != c_Groups_Ozero__class_Ozero(X4808)
| X4807 = X4806
| ~ class_Groups_Ogroup__add(X4808) )
& ( X4807 != X4806
| c_Groups_Ominus__class_Ominus(X4808,X4807,X4806) = c_Groups_Ozero__class_Ozero(X4808)
| ~ class_Groups_Ogroup__add(X4808) ) ),
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,
! [X4074,X4075,X4076] :
( ~ class_Rings_Oring__1__no__zero__divisors(X4076)
| X4075 = c_Groups_Ozero__class_Ozero(X4076)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4076),X4075),X4074) != c_Groups_Ozero__class_Ozero(X4076) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__power__not__zero])]) ).
fof(i_0_2336,plain,
! [X3365,X3366] :
( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3366),X3365),X3365) != c_Groups_Ozero__class_Ozero(X3366)
| X3365 = c_Groups_Ozero__class_Ozero(X3366)
| ~ class_Groups_Olinordered__ab__group__add(X3366) )
& ( X3365 != c_Groups_Ozero__class_Ozero(X3366)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3366),X3365),X3365) = c_Groups_Ozero__class_Ozero(X3366)
| ~ class_Groups_Olinordered__ab__group__add(X3366) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__eq__0__iff])])]) ).
fof(i_0_2337,plain,
! [X3092,X3093] :
( ( c_Groups_Ozero__class_Ozero(X3093) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3093),X3092),X3092)
| X3092 = c_Groups_Ozero__class_Ozero(X3093)
| ~ class_Groups_Olinordered__ab__group__add(X3093) )
& ( X3092 != c_Groups_Ozero__class_Ozero(X3093)
| c_Groups_Ozero__class_Ozero(X3093) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3093),X3092),X3092)
| ~ class_Groups_Olinordered__ab__group__add(X3093) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__zero__sym])])]) ).
fof(i_0_2338,plain,
! [X3738] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatfloor(X3738))),
inference(variable_rename,[status(thm)],[fact_zero__le__natfloor]) ).
fof(i_0_2339,plain,
! [X3752] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_RComplete_Onatceiling(X3752))),
inference(variable_rename,[status(thm)],[fact_zero__le__natceiling]) ).
fof(i_0_2340,plain,
! [X3925,X3926] :
( ~ class_Rings_Olinordered__idom(X3926)
| c_Groups_Oabs__class_Oabs(X3926,X3925) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3926),X3925),c_Groups_Osgn__class_Osgn(X3926,X3925)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__sgn])]) ).
fof(i_0_2341,plain,
! [X3384,X3385,X3386] :
( ( X3385 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3386),X3385),X3384)
| X3384 = c_Groups_Ozero__class_Ozero(X3386)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3386) )
& ( X3384 != c_Groups_Ozero__class_Ozero(X3386)
| X3385 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3386),X3385),X3384)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3386) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])]) ).
fof(i_0_2342,plain,
! [X2853,X2854,X2855] :
( ~ class_Orderings_Opreorder(X2855)
| X2854 != X2853
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2855,X2854),X2853)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__eq__refl])]) ).
fof(i_0_2343,plain,
! [X3369] :
( X3369 = 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)),X3369)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0I])]) ).
fof(i_0_2344,plain,
! [X4178,X4179] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4179),X4178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4178),X4179),
inference(variable_rename,[status(thm)],[fact_zmult__commute]) ).
fof(i_0_2345,plain,
! [X4047,X4048] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4048),X4047) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4047),X4048),
inference(variable_rename,[status(thm)],[fact_nat__mult__commute]) ).
fof(i_0_2346,plain,
! [X4055,X4056] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4056),X4055) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X4055),X4056),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(i_0_2347,plain,
! [X4254,X4255] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4255),X4254) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4254),X4255),
inference(variable_rename,[status(thm)],[fact_zadd__commute]) ).
fof(i_0_2348,plain,
! [X3415,X3416] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3416),X3415) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3415),X3416),
inference(variable_rename,[status(thm)],[fact_nat__add__commute]) ).
fof(i_0_2349,plain,
! [X2793,X2794] :
( ~ class_Orderings_Opreorder(X2794)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X2794,X2793),X2793)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__refl])]) ).
fof(i_0_2350,plain,
! [X4127,X4128] :
( ( X4127 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4128),c_Groups_Ozero__class_Ozero(X4128)),X4127) = c_Groups_Oone__class_Oone(X4128)
| ~ class_Power_Opower(X4128)
| ~ class_Rings_Osemiring__0(X4128) )
& ( X4127 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4128),c_Groups_Ozero__class_Ozero(X4128)),X4127) = c_Groups_Ozero__class_Ozero(X4128)
| ~ class_Power_Opower(X4128)
| ~ class_Rings_Osemiring__0(X4128) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__left])])]) ).
fof(i_0_2351,plain,
! [X3341] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3341)),
inference(variable_rename,[status(thm)],[fact_less__eq__nat_Osimps_I1_J]) ).
fof(i_0_2352,plain,
! [X3244] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3244)),
inference(variable_rename,[status(thm)],[fact_le0]) ).
fof(i_0_2353,plain,
! [X3685,X3686] :
( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3686),X3685) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X3686 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X3685 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3686 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3686),X3685) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3685 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3686),X3685) = 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,
! [X3919,X3920] :
( X3920 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3920),X3919)
| X3919 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
| X3920 = 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,
! [X5307] : c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,X5307) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),X5307),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5307)),
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,
! [X3327,X3328] :
( ( hAPP(c_Complex_ORe,X3328) = hAPP(c_Complex_ORe,X3327)
| X3328 != X3327 )
& ( hAPP(c_Complex_OIm,X3328) = hAPP(c_Complex_OIm,X3327)
| X3328 != X3327 )
& ( hAPP(c_Complex_ORe,X3328) != hAPP(c_Complex_ORe,X3327)
| hAPP(c_Complex_OIm,X3328) != hAPP(c_Complex_OIm,X3327)
| X3328 = X3327 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_expand__complex__eq])])]) ).
fof(i_0_2363,plain,
! [X3325,X3326] :
( hAPP(c_Complex_ORe,X3326) != hAPP(c_Complex_ORe,X3325)
| hAPP(c_Complex_OIm,X3326) != hAPP(c_Complex_OIm,X3325)
| X3326 = X3325 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_complex__equality])]) ).
fof(i_0_2364,plain,
! [X3726,X3727] :
( ( X3727 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3727),X3726) != c_Groups_Oone__class_Oone(tc_Nat_Onat) )
& ( X3726 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3727),X3726) != c_Groups_Oone__class_Oone(tc_Nat_Onat) )
& ( X3727 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
| X3726 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3727),X3726) = 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,
! [X3294,X3295] :
( ( X3295 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3295),X3294) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3294 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3295),X3294) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X3295 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X3294 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3295),X3294) = 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,
! [X3723,X3724] :
( ( X3724 = 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),X3724),X3723) )
& ( X3723 = 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),X3724),X3723) )
& ( X3724 != c_Groups_Oone__class_Oone(tc_Nat_Onat)
| X3723 != 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),X3724),X3723) ) ),
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,
! [X3261,X3262] :
( X3262 != X3261
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3262),X3261)) ),
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,
! [X4307] :
( ~ class_Power_Opower(X4307)
| c_Power_Opower__class_Opower(X4307) = c_Power_Opower_Opower(X4307,c_Groups_Oone__class_Oone(X4307),c_Groups_Otimes__class_Otimes(X4307)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__power__power])]) ).
fof(i_0_2371,plain,
! [X3292,X3293] :
( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3293),X3292) != X3293
| X3292 = 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,
! [X4263] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4263),X4263)),
inference(variable_rename,[status(thm)],[fact_zle__refl]) ).
fof(i_0_2373,plain,
! [X3245] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3245),X3245)),
inference(variable_rename,[status(thm)],[fact_le__refl]) ).
fof(i_0_2374,plain,
! [X2943] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2943),X2943)),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
fof(i_0_2375,plain,
! [X5334,X5335] :
( ~ class_RealVector_Oreal__normed__field(X5335)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5335),c_Groups_Ozero__class_Ozero(X5335)),X5334) = c_Groups_Ozero__class_Ozero(X5335) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Ozero])]) ).
fof(i_0_2376,plain,
! [X5338,X5339] :
( ~ class_Rings_Odivision__ring(X5339)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5339),c_Groups_Ozero__class_Ozero(X5339)),X5338) = c_Groups_Ozero__class_Ozero(X5339) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero__left])]) ).
fof(i_0_2377,plain,
! [X4084,X4085] :
( ~ class_Groups_Omonoid__mult(X4085)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4085),c_Groups_Oone__class_Oone(X4085)),X4084) = c_Groups_Oone__class_Oone(X4085) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one])]) ).
fof(i_0_2378,plain,
! [X3609,X3610] :
( ~ class_Rings_Omult__zero(X3610)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3610),c_Groups_Ozero__class_Ozero(X3610)),X3609) = c_Groups_Ozero__class_Ozero(X3610) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__left])]) ).
fof(i_0_2379,plain,
! [X3603,X3604] :
( ~ class_RealVector_Oreal__normed__algebra(X3604)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3604),c_Groups_Ozero__class_Ozero(X3604)),X3603) = c_Groups_Ozero__class_Ozero(X3604) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ozero])]) ).
fof(i_0_2380,plain,
! [X3601,X3602] :
( ~ class_RealVector_Oreal__normed__algebra(X3602)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3602),c_Groups_Ozero__class_Ozero(X3602)),X3601) = c_Groups_Ozero__class_Ozero(X3602) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__left])]) ).
fof(i_0_2381,plain,
! [X3599,X3600] :
( ~ class_Rings_Ocomm__semiring__1(X3600)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3600),c_Groups_Ozero__class_Ozero(X3600)),X3599) = c_Groups_Ozero__class_Ozero(X3600) ),
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,
! [X3675,X3676] :
( ~ class_Groups_Ocomm__monoid__mult(X3676)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3676),c_Groups_Oone__class_Oone(X3676)),X3675) = X3675 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1])]) ).
fof(i_0_2383,plain,
! [X3673,X3674] :
( ~ class_Groups_Omonoid__mult(X3674)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3674),c_Groups_Oone__class_Oone(X3674)),X3673) = X3673 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__left])]) ).
fof(i_0_2384,plain,
! [X3669,X3670] :
( ~ class_Rings_Ocomm__semiring__1(X3670)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3670),c_Groups_Oone__class_Oone(X3670)),X3669) = X3669 ),
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,
! [X3389,X3390] :
( ~ class_Rings_Ocomm__semiring__1(X3390)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3390),c_Groups_Ozero__class_Ozero(X3390)),X3389) = X3389 ),
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,
! [X3090,X3091] :
( ~ class_Groups_Ocomm__monoid__add(X3091)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3091),c_Groups_Ozero__class_Ozero(X3091)),X3090) = X3090 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0])]) ).
fof(i_0_2387,plain,
! [X3088,X3089] :
( ~ class_Groups_Omonoid__add(X3089)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3089),c_Groups_Ozero__class_Ozero(X3089)),X3088) = X3088 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__left])]) ).
fof(i_0_2388,plain,
! [X5357,X5358] :
( ( X5357 != c_Groups_Ozero__class_Ozero(X5358)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5358),X5357),X5357) = c_Groups_Ozero__class_Ozero(X5358)
| ~ class_Rings_Odivision__ring__inverse__zero(X5358) )
& ( X5357 = c_Groups_Ozero__class_Ozero(X5358)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5358),X5357),X5357) = c_Groups_Oone__class_Oone(X5358)
| ~ class_Rings_Odivision__ring__inverse__zero(X5358) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self__if])])]) ).
fof(i_0_2389,plain,
! [X5133,X5134] :
( ~ class_Divides_Osemiring__div(X5134)
| c_Divides_Odiv__class_Odiv(X5134,c_Groups_Ozero__class_Ozero(X5134),X5133) = c_Groups_Ozero__class_Ozero(X5134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__0])]) ).
fof(i_0_2390,plain,
! [X5135,X5136] :
( ~ class_Divides_Osemiring__div(X5136)
| c_Divides_Odiv__class_Odiv(X5136,X5135,c_Groups_Ozero__class_Ozero(X5136)) = c_Groups_Ozero__class_Ozero(X5136) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__0])]) ).
fof(i_0_2391,plain,
! [X5130,X5131] :
( ~ class_Divides_Osemiring__div(X5131)
| X5130 = c_Groups_Ozero__class_Ozero(X5131)
| c_Divides_Odiv__class_Odiv(X5131,X5130,X5130) = c_Groups_Oone__class_Oone(X5131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__self])]) ).
fof(i_0_2392,plain,
! [X5336,X5337] :
( ~ class_Rings_Odivision__ring__inverse__zero(X5337)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5337),X5336),c_Groups_Ozero__class_Ozero(X5337)) = c_Groups_Ozero__class_Ozero(X5337) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero])]) ).
fof(i_0_2393,plain,
! [X3611,X3612] :
( ~ class_Rings_Omult__zero(X3612)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3612),X3611),c_Groups_Ozero__class_Ozero(X3612)) = c_Groups_Ozero__class_Ozero(X3612) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__right])]) ).
fof(i_0_2394,plain,
! [X3607,X3608] :
( ~ class_RealVector_Oreal__normed__algebra(X3608)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3608),X3607),c_Groups_Ozero__class_Ozero(X3608)) = c_Groups_Ozero__class_Ozero(X3608) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ozero])]) ).
fof(i_0_2395,plain,
! [X3605,X3606] :
( ~ class_RealVector_Oreal__normed__algebra(X3606)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3606),X3605),c_Groups_Ozero__class_Ozero(X3606)) = c_Groups_Ozero__class_Ozero(X3606) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__right])]) ).
fof(i_0_2396,plain,
! [X3597,X3598] :
( ~ class_Rings_Ocomm__semiring__1(X3598)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3598),X3597),c_Groups_Ozero__class_Ozero(X3598)) = c_Groups_Ozero__class_Ozero(X3598) ),
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,
! [X5355,X5356] :
( ~ class_Rings_Odivision__ring(X5356)
| X5355 = c_Groups_Ozero__class_Ozero(X5356)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5356),X5355),X5355) = c_Groups_Oone__class_Oone(X5356) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self])]) ).
fof(i_0_2398,plain,
! [X5137,X5138] :
( ~ class_Divides_Osemiring__div(X5138)
| c_Divides_Odiv__class_Odiv(X5138,X5137,c_Groups_Oone__class_Oone(X5138)) = X5137 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__1])]) ).
fof(i_0_2399,plain,
! [X4799,X4800] :
( ~ class_Groups_Ogroup__add(X4800)
| c_Groups_Ominus__class_Ominus(X4800,X4799,c_Groups_Ozero__class_Ozero(X4800)) = X4799 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0__right])]) ).
fof(i_0_2400,plain,
! [X4111,X4112] :
( ~ class_Power_Opower(X4112)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4112),X4111),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X4112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0])]) ).
fof(i_0_2401,plain,
! [X3755,X3756] :
( ~ class_Rings_Ocomm__semiring__1(X3756)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3756),X3755),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X3756) ),
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,
! [X5314,X5315] :
( ~ class_Rings_Odivision__ring(X5315)
| hAPP(hAPP(c_Rings_Oinverse__class_Odivide(X5315),X5314),c_Groups_Oone__class_Oone(X5315)) = X5314 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__1])]) ).
fof(i_0_2403,plain,
! [X3679,X3680] :
( ~ class_Groups_Ocomm__monoid__mult(X3680)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3680),X3679),c_Groups_Oone__class_Oone(X3680)) = X3679 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ocomm__neutral])]) ).
fof(i_0_2404,plain,
! [X3677,X3678] :
( ~ class_Groups_Omonoid__mult(X3678)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3678),X3677),c_Groups_Oone__class_Oone(X3678)) = X3677 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__right])]) ).
fof(i_0_2405,plain,
! [X3671,X3672] :
( ~ class_Rings_Ocomm__semiring__1(X3672)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3672),X3671),c_Groups_Oone__class_Oone(X3672)) = X3671 ),
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,
! [X3387,X3388] :
( ~ class_Rings_Ocomm__semiring__1(X3388)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3388),X3387),c_Groups_Ozero__class_Ozero(X3388)) = X3387 ),
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,
! [X3096,X3097] :
( ~ class_Groups_Ocomm__monoid__add(X3097)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3097),X3096),c_Groups_Ozero__class_Ozero(X3097)) = X3096 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add_Ocomm__neutral])]) ).
fof(i_0_2408,plain,
! [X3094,X3095] :
( ~ class_Groups_Omonoid__add(X3095)
| hAPP(hAPP(c_Groups_Oplus__class_Oplus(X3095),X3094),c_Groups_Ozero__class_Ozero(X3095)) = X3094 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__right])]) ).
fof(i_0_2409,plain,
! [X4801,X4802] :
( ~ class_Groups_Ogroup__add(X4802)
| c_Groups_Ominus__class_Ominus(X4802,X4801,X4801) = c_Groups_Ozero__class_Ozero(X4802) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__self])]) ).
fof(i_0_2410,plain,
! [X4089,X4090] :
( ~ class_Groups_Omonoid__mult(X4090)
| hAPP(hAPP(c_Power_Opower__class_Opower(X4090),X4089),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X4089 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__right])]) ).
fof(i_0_2411,plain,
! [X3681,X3682] :
( ~ class_Rings_Ocomm__semiring__1(X3682)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3682),X3681),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X3681 ),
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,
! [X3494,X3495] :
( ~ class_Rings_Olinordered__idom(X3495)
| c_Groups_Osgn__class_Osgn(X3495,c_Groups_Osgn__class_Osgn(X3495,X3494)) = c_Groups_Osgn__class_Osgn(X3495,X3494) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__sgn])]) ).
fof(i_0_2413,plain,
! [X2944,X2945] :
( ~ class_Groups_Oordered__ab__group__add__abs(X2945)
| c_Groups_Oabs__class_Oabs(X2945,c_Groups_Oabs__class_Oabs(X2945,X2944)) = c_Groups_Oabs__class_Oabs(X2945,X2944) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__idempotent])]) ).
fof(i_0_2414,plain,
! [X5236] : c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X5236),hAPP(c_Complex_OIm,X5236)) = X5236,
inference(variable_rename,[status(thm)],[fact_complex__surj]) ).
fof(i_0_2415,plain,
! [X3028,X3029] :
( ~ class_RealVector_Oreal__normed__vector(X3029)
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X3029,X3028)) = c_RealVector_Onorm__class_Onorm(X3029,X3028) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__norm__cancel])]) ).
fof(i_0_2416,plain,
! [X5139] :
( X5139 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
| c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5139,X5139) = 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,
! [X5132] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5132) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(variable_rename,[status(thm)],[fact_zdiv__zero]) ).
fof(i_0_2418,plain,
! [X4773] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4773) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_diff__0__eq__0]) ).
fof(i_0_2419,plain,
! [X3492,X3493] :
( ( X3492 != c_Groups_Ozero__class_Ozero(X3493)
| c_RealVector_Onorm__class_Onorm(X3493,c_Groups_Osgn__class_Osgn(X3493,X3492)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3493) )
& ( X3492 = c_Groups_Ozero__class_Ozero(X3493)
| c_RealVector_Onorm__class_Onorm(X3493,c_Groups_Osgn__class_Osgn(X3493,X3492)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3493) ) ),
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,
! [X4774] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4774,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4774,
inference(variable_rename,[status(thm)],[fact_minus__nat_Odiff__0]) ).
fof(i_0_2422,plain,
! [X4775] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4775,X4775) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_diff__self__eq__0]) ).
fof(i_0_2423,plain,
! [X3683] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3683) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_mult__0]) ).
fof(i_0_2424,plain,
! [X3419] :
( ~ c_SEQ_OBseq(tc_RealDef_Oreal,X3419)
| ~ c_SEQ_Omonoseq(tc_RealDef_Oreal,X3419)
| c_SEQ_Oconvergent(tc_RealDef_Oreal,X3419) ),
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,
! [X4172] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X4172) = X4172,
inference(variable_rename,[status(thm)],[fact_zmult__1]) ).
fof(i_0_2428,plain,
! [X3722] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3722) = X3722,
inference(variable_rename,[status(thm)],[fact_nat__mult__1]) ).
fof(i_0_2429,plain,
! [X3728] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X3728) = X3728,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
fof(i_0_2430,plain,
! [X4208] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),X4208) = X4208,
inference(variable_rename,[status(thm)],[fact_zadd__0]) ).
fof(i_0_2431,plain,
! [X3297] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3297) = X3297,
inference(variable_rename,[status(thm)],[fact_plus__nat_Oadd__0]) ).
fof(i_0_2432,plain,
! [X3684] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3684),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,
! [X4391,X4392] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X4392,X4391)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X4392),
inference(variable_rename,[status(thm)],[fact_complex__mod__rcis]) ).
fof(i_0_2434,plain,
! [X4171] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4171),c_Groups_Oone__class_Oone(tc_Int_Oint)) = X4171,
inference(variable_rename,[status(thm)],[fact_zmult__1__right]) ).
fof(i_0_2435,plain,
! [X3725] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3725),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X3725,
inference(variable_rename,[status(thm)],[fact_nat__mult__1__right]) ).
fof(i_0_2436,plain,
! [X4209] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),X4209),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = X4209,
inference(variable_rename,[status(thm)],[fact_zadd__0__right]) ).
fof(i_0_2437,plain,
! [X3296] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X3296),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X3296,
inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right]) ).
fof(i_0_2438,plain,
! [X4335] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X4335)) = c_RealDef_Oreal(tc_Nat_Onat,X4335),
inference(variable_rename,[status(thm)],[fact_abs__real__of__nat__cancel]) ).
fof(i_0_2439,plain,
! [X5237,X5238,X5239,X5240] :
( ( X5240 = X5238
| c_Complex_Ocomplex_OComplex(X5240,X5239) != c_Complex_Ocomplex_OComplex(X5238,X5237) )
& ( X5239 = X5237
| c_Complex_Ocomplex_OComplex(X5240,X5239) != c_Complex_Ocomplex_OComplex(X5238,X5237) )
& ( X5240 != X5238
| X5239 != X5237
| c_Complex_Ocomplex_OComplex(X5240,X5239) = c_Complex_Ocomplex_OComplex(X5238,X5237) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_complex_Oinject])])]) ).
fof(i_0_2440,plain,
! [X3519,X3520] :
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3520,X3519) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| X3519 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3520))
| ~ class_Groups_Ozero(X3520) )
& ( X3519 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3520))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3520,X3519) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X3520) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__eq__0__iff])])]) ).
fof(i_0_2441,plain,
! [X3465,X3466] :
( ~ class_Orderings_Oorder(X3466)
| ~ c_SEQ_Oincseq(X3466,X3465)
| c_SEQ_Omonoseq(X3466,X3465) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_incseq__imp__monoseq])]) ).
fof(i_0_2442,plain,
! [X3467,X3468] :
( ~ class_Orderings_Oorder(X3468)
| ~ c_SEQ_Odecseq(X3468,X3467)
| c_SEQ_Omonoseq(X3468,X3467) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_decseq__imp__monoseq])]) ).
fof(i_0_2443,plain,
! [X4333,X4334] :
( ( c_RealDef_Oreal(tc_Nat_Onat,X4334) != c_RealDef_Oreal(tc_Nat_Onat,X4333)
| X4334 = X4333 )
& ( X4334 != X4333
| c_RealDef_Oreal(tc_Nat_Onat,X4334) = c_RealDef_Oreal(tc_Nat_Onat,X4333) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__of__nat__inject])]) ).
fof(i_0_2444,plain,
! [X3496,X3497] :
( ( c_Groups_Osgn__class_Osgn(X3497,X3496) != c_Groups_Ozero__class_Ozero(X3497)
| X3496 = c_Groups_Ozero__class_Ozero(X3497)
| ~ class_Rings_Olinordered__idom(X3497) )
& ( X3496 != c_Groups_Ozero__class_Ozero(X3497)
| c_Groups_Osgn__class_Osgn(X3497,X3496) = c_Groups_Ozero__class_Ozero(X3497)
| ~ class_Rings_Olinordered__idom(X3497) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__0__0])])]) ).
fof(i_0_2445,plain,
! [X3499,X3500] :
( ( c_Groups_Osgn__class_Osgn(X3500,X3499) != c_Groups_Ozero__class_Ozero(X3500)
| X3499 = c_Groups_Ozero__class_Ozero(X3500)
| ~ class_RealVector_Oreal__normed__vector(X3500) )
& ( X3499 != c_Groups_Ozero__class_Ozero(X3500)
| c_Groups_Osgn__class_Osgn(X3500,X3499) = c_Groups_Ozero__class_Ozero(X3500)
| ~ class_RealVector_Oreal__normed__vector(X3500) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__zero__iff])])]) ).
fof(i_0_2446,plain,
! [X3013,X3014] :
( ( c_Groups_Oabs__class_Oabs(X3014,X3013) != c_Groups_Ozero__class_Ozero(X3014)
| X3013 = c_Groups_Ozero__class_Ozero(X3014)
| ~ class_Groups_Oordered__ab__group__add__abs(X3014) )
& ( X3013 != c_Groups_Ozero__class_Ozero(X3014)
| c_Groups_Oabs__class_Oabs(X3014,X3013) = c_Groups_Ozero__class_Ozero(X3014)
| ~ class_Groups_Oordered__ab__group__add__abs(X3014) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__eq__0])])]) ).
fof(i_0_2447,plain,
! [X5295,X5296] : c_Nat_Osize__class_Osize(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X5296,X5295)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_complex_Osize_I2_J]) ).
fof(i_0_2448,plain,
! [X5243,X5244] : hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X5244,X5243)) = X5244,
inference(variable_rename,[status(thm)],[fact_Re]) ).
fof(i_0_2449,plain,
! [X5241,X5242] : hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X5242,X5241)) = X5241,
inference(variable_rename,[status(thm)],[fact_Im]) ).
fof(i_0_2450,plain,
! [X3025,X3026] :
( ( c_RealVector_Onorm__class_Onorm(X3026,X3025) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X3025 = c_Groups_Ozero__class_Ozero(X3026)
| ~ class_RealVector_Oreal__normed__vector(X3026) )
& ( X3025 != c_Groups_Ozero__class_Ozero(X3026)
| c_RealVector_Onorm__class_Onorm(X3026,X3025) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3026) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__eq__zero])])]) ).
fof(i_0_2451,plain,
! [X5422,X5423] :
( ~ class_Orderings_Oorder(X5423)
| class_Orderings_Oorder(tc_fun(X5422,X5423)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Oorder])]) ).
fof(i_0_2452,plain,
! [X5424,X5425] :
( ~ class_Orderings_Oord(X5425)
| class_Orderings_Oord(tc_fun(X5424,X5425)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Oord])]) ).
fof(i_0_2453,plain,
! [X5420,X5421] :
( ~ class_Orderings_Opreorder(X5421)
| class_Orderings_Opreorder(tc_fun(X5420,X5421)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_fun__Orderings_Opreorder])]) ).
fof(i_0_2454,plain,
! [X5290,X5291] : c_Complex_Ocomplex_Ocomplex__size(c_Complex_Ocomplex_OComplex(X5291,X5290)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(variable_rename,[status(thm)],[fact_complex_Osize_I1_J]) ).
fof(i_0_2455,plain,
! [X3502] :
( ~ class_RealVector_Oreal__normed__algebra__1(X3502)
| c_Groups_Osgn__class_Osgn(X3502,c_Groups_Oone__class_Oone(X3502)) = c_Groups_Oone__class_Oone(X3502) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__one])]) ).
fof(i_0_2456,plain,
! [X3498] :
( ~ class_Groups_Osgn__if(X3498)
| c_Groups_Osgn__class_Osgn(X3498,c_Groups_Ozero__class_Ozero(X3498)) = c_Groups_Ozero__class_Ozero(X3498) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn0])]) ).
fof(i_0_2457,plain,
! [X3501] :
( ~ class_RealVector_Oreal__normed__vector(X3501)
| c_Groups_Osgn__class_Osgn(X3501,c_Groups_Ozero__class_Ozero(X3501)) = c_Groups_Ozero__class_Ozero(X3501) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__zero])]) ).
fof(i_0_2458,plain,
! [X3375] :
( ~ class_Rings_Olinordered__idom(X3375)
| c_Groups_Oabs__class_Oabs(X3375,c_Groups_Oone__class_Oone(X3375)) = c_Groups_Oone__class_Oone(X3375) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__one])]) ).
fof(i_0_2459,plain,
! [X3015] :
( ~ class_Groups_Oordered__ab__group__add__abs(X3015)
| c_Groups_Oabs__class_Oabs(X3015,c_Groups_Ozero__class_Ozero(X3015)) = c_Groups_Ozero__class_Ozero(X3015) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__zero])]) ).
fof(i_0_2460,plain,
! [X5253,X5254] :
( ( X5254 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5254,X5253) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) )
& ( X5253 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5254,X5253) != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) )
& ( X5254 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| X5253 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5254,X5253) = 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,
! [X5249,X5250] :
( ( X5250 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5250,X5249) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( X5249 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5250,X5249) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) )
& ( X5250 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5249 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5250,X5249) = 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,
! [X3037] :
( ~ class_RealVector_Oreal__normed__algebra__1(X3037)
| c_RealVector_Onorm__class_Onorm(X3037,c_Groups_Oone__class_Oone(X3037)) = 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,
! [X3027] :
( ~ class_RealVector_Oreal__normed__vector(X3027)
| c_RealVector_Onorm__class_Onorm(X3027,c_Groups_Ozero__class_Ozero(X3027)) = 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,
! [X4331] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,X4331)) = X4331,
inference(variable_rename,[status(thm)],[fact_natfloor__real__of__nat]) ).
fof(i_0_2465,plain,
! [X4332] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,X4332)) = X4332,
inference(variable_rename,[status(thm)],[fact_natceiling__real__of__nat]) ).
fof(i_0_2466,plain,
! [X4336] :
( ( c_RealDef_Oreal(tc_Nat_Onat,X4336) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X4336 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X4336 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_RealDef_Oreal(tc_Nat_Onat,X4336) = 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,
! [X5251,X5252] :
( ( X5252 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5252,X5251) != c_Complex_Oii )
& ( X5251 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5252,X5251) != c_Complex_Oii )
& ( X5252 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5251 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| c_Complex_Ocomplex_OComplex(X5252,X5251) = 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,
! [X3068] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X3068) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X3068),
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,
! [X3368] :
( ~ class_Rings_Ozero__neq__one(X3368)
| c_Groups_Oone__class_Oone(X3368) != c_Groups_Ozero__class_Ozero(X3368) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__neq__zero])]) ).
fof(i_0_2471,plain,
! [X3367] :
( ~ class_Rings_Ozero__neq__one(X3367)
| c_Groups_Ozero__class_Ozero(X3367) != c_Groups_Oone__class_Oone(X3367) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__neq__one])]) ).
fof(i_0_2472,plain,
! [X4393] : c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X4393) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(variable_rename,[status(thm)],[fact_rcis__zero__mod]) ).
fof(i_0_2473,plain,
! [X5419] :
( ~ class_Rings_Ocomm__ring(X5419)
| class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X5419)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring])]) ).
fof(i_0_2474,plain,
! [X5418] :
( ~ class_Rings_Ocomm__semiring__0(X5418)
| class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X5418)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__0])]) ).
fof(i_0_2475,plain,
! [X5417] :
( ~ class_Groups_Ocancel__comm__monoid__add(X5417)
| class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X5417)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add])]) ).
fof(i_0_2476,plain,
! [X5416] :
( ~ class_Rings_Oidom(X5416)
| class_Rings_Oidom(tc_Polynomial_Opoly(X5416)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oidom])]) ).
fof(i_0_2477,plain,
! [X5457] :
( ~ class_Fields_Ofield(X5457)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X5457)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])]) ).
fof(i_0_2478,plain,
! [X5465] :
( ~ class_Rings_Ocomm__ring__1(X5465)
| class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X5465)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring__1])]) ).
fof(i_0_2479,plain,
! [X5474] :
( ~ class_Rings_Ocomm__ring__1(X5474)
| class_Rings_Oring__1(tc_Polynomial_Opoly(X5474)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1])]) ).
fof(i_0_2480,plain,
! [X5477] :
( ~ class_Rings_Ocomm__ring(X5477)
| class_Rings_Oring(tc_Polynomial_Opoly(X5477)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring])]) ).
fof(i_0_2481,plain,
! [X5459] :
( ~ class_Groups_Oab__group__add(X5459)
| class_Groups_Oab__group__add(tc_Polynomial_Opoly(X5459)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__group__add])]) ).
fof(i_0_2482,plain,
! [X5443] :
( ~ class_Rings_Olinordered__idom(X5443)
| class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X5443)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add])]) ).
fof(i_0_2483,plain,
! [X5468] :
( ~ class_Groups_Oab__group__add(X5468)
| class_Groups_Ogroup__add(tc_Polynomial_Opoly(X5468)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])]) ).
fof(i_0_2484,plain,
! [X5467] :
( ~ class_Rings_Ocomm__semiring__0(X5467)
| class_Rings_Osemiring__0(tc_Polynomial_Opoly(X5467)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring__0])]) ).
fof(i_0_2485,plain,
! [X5475] :
( ~ class_Rings_Ocomm__semiring__1(X5475)
| class_Power_Opower(tc_Polynomial_Opoly(X5475)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Power_Opower])]) ).
fof(i_0_2486,plain,
! [X5437] :
( ~ class_Rings_Oidom(X5437)
| class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X5437)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors])]) ).
fof(i_0_2487,plain,
! [X5442] :
( ~ class_Rings_Olinordered__idom(X5442)
| class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(X5442)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__1])]) ).
fof(i_0_2488,plain,
! [X5451] :
( ~ class_Rings_Olinordered__idom(X5451)
| class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(X5451)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__ring__abs])]) ).
fof(i_0_2489,plain,
! [X5445] :
( ~ class_Rings_Olinordered__idom(X5445)
| class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X5445)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring])]) ).
fof(i_0_2490,plain,
! [X5429] :
( ~ class_Rings_Olinordered__idom(X5429)
| class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X5429)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict])]) ).
fof(i_0_2491,plain,
! [X5431] :
( ~ class_Rings_Olinordered__idom(X5431)
| class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X5431)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict])]) ).
fof(i_0_2492,plain,
! [X5441] :
( ~ class_Rings_Olinordered__idom(X5441)
| class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X5441)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__comm__semiring])]) ).
fof(i_0_2493,plain,
! [X5450] :
( ~ class_Rings_Olinordered__idom(X5450)
| class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X5450)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__semiring])]) ).
fof(i_0_2494,plain,
! [X5461] :
( ~ class_Rings_Olinordered__idom(X5461)
| class_Rings_Oordered__ring(tc_Polynomial_Opoly(X5461)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__ring])]) ).
fof(i_0_2495,plain,
! [X5438] :
( ~ class_Rings_Olinordered__idom(X5438)
| class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X5438)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring])]) ).
fof(i_0_2496,plain,
! [X5439] :
( ~ class_Rings_Olinordered__idom(X5439)
| class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X5439)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring__strict])]) ).
fof(i_0_2497,plain,
! [X5454] :
( ~ class_Rings_Olinordered__idom(X5454)
| class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X5454)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring])]) ).
fof(i_0_2498,plain,
! [X5448] :
( ~ class_Rings_Ocomm__semiring__1(X5448)
| class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X5448)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult])]) ).
fof(i_0_2499,plain,
! [X5464] :
( ~ class_Rings_Ocomm__semiring__1(X5464)
| class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X5464)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__mult])]) ).
fof(i_0_2500,plain,
! [X5458] :
( ~ class_Rings_Ocomm__semiring__0(X5458)
| class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X5458)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring])]) ).
fof(i_0_2501,plain,
! [X5471] :
( ~ class_Rings_Ocomm__semiring__0(X5471)
| class_Rings_Osemiring(tc_Polynomial_Opoly(X5471)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring])]) ).
fof(i_0_2502,plain,
! [X5452] :
( ~ class_Rings_Oidom(X5452)
| class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X5452)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ono__zero__divisors])]) ).
fof(i_0_2503,plain,
! [X5440] :
( ~ class_Rings_Oidom(X5440)
| class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X5440)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors])]) ).
fof(i_0_2504,plain,
! [X5469] :
( ~ class_Rings_Ocomm__semiring__0(X5469)
| class_Rings_Omult__zero(tc_Polynomial_Opoly(X5469)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Omult__zero])]) ).
fof(i_0_2505,plain,
! [X5447] :
( ~ class_Rings_Ocomm__semiring__0(X5447)
| class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X5447)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__mult])]) ).
fof(i_0_2506,plain,
! [X5430] :
( ~ class_Rings_Olinordered__idom(X5430)
| class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X5430)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict])]) ).
fof(i_0_2507,plain,
! [X5473] :
( ~ class_Rings_Olinordered__idom(X5473)
| class_Groups_Osgn__if(tc_Polynomial_Opoly(X5473)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Osgn__if])]) ).
fof(i_0_2508,plain,
! [X5456] :
( ~ class_Rings_Ocomm__semiring__1(X5456)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X5456)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])]) ).
fof(i_0_2509,plain,
! [X5426] :
( ~ class_Rings_Oidom(X5426)
| class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X5426)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct])]) ).
fof(i_0_2510,plain,
! [X5460] :
( ~ class_Rings_Ocomm__semiring__1(X5460)
| class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X5460)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ozero__neq__one])]) ).
fof(i_0_2511,plain,
! [X5455] :
( ~ class_Rings_Olinordered__idom(X5455)
| class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X5455)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__idom])]) ).
fof(i_0_2512,plain,
! [X5446] :
( ~ class_Rings_Olinordered__idom(X5446)
| class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X5446)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semidom])]) ).
fof(i_0_2513,plain,
! [X5434] :
( ~ class_Rings_Olinordered__idom(X5434)
| class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X5434)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add])]) ).
fof(i_0_2514,plain,
! [X5427] :
( ~ class_Rings_Olinordered__idom(X5427)
| class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X5427)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add])]) ).
fof(i_0_2515,plain,
! [X5432] :
( ~ class_Rings_Olinordered__idom(X5432)
| class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X5432)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add])]) ).
fof(i_0_2516,plain,
! [X5428] :
( ~ class_Rings_Olinordered__idom(X5428)
| class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X5428)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le])]) ).
fof(i_0_2517,plain,
! [X5435] :
( ~ class_Rings_Olinordered__idom(X5435)
| class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X5435)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add])]) ).
fof(i_0_2518,plain,
! [X5453] :
( ~ class_Groups_Ocomm__monoid__add(X5453)
| class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X5453)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__add])]) ).
fof(i_0_2519,plain,
! [X5466] :
( ~ class_Groups_Ocomm__monoid__add(X5466)
| class_Groups_Omonoid__add(tc_Polynomial_Opoly(X5466)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__add])]) ).
fof(i_0_2520,plain,
! [X5436] :
( ~ class_Groups_Ocancel__comm__monoid__add(X5436)
| class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X5436)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add])]) ).
fof(i_0_2521,plain,
! [X5444] :
( ~ class_Groups_Ocancel__comm__monoid__add(X5444)
| class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X5444)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add])]) ).
fof(i_0_2522,plain,
! [X5449] :
( ~ class_Groups_Ocomm__monoid__add(X5449)
| class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X5449)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__add])]) ).
fof(i_0_2523,plain,
! [X5478] :
( ~ class_Rings_Ocomm__semiring__1(X5478)
| class_Groups_Oone(tc_Polynomial_Opoly(X5478)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oone])]) ).
fof(i_0_2524,plain,
! [X5470] :
( ~ class_Rings_Olinordered__idom(X5470)
| class_Orderings_Oorder(tc_Polynomial_Opoly(X5470)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Oorder])]) ).
fof(i_0_2525,plain,
! [X5472] :
( ~ class_Rings_Olinordered__idom(X5472)
| class_Orderings_Oord(tc_Polynomial_Opoly(X5472)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Oord])]) ).
fof(i_0_2526,plain,
! [X5463] :
( ~ class_Rings_Olinordered__idom(X5463)
| class_Orderings_Olinorder(tc_Polynomial_Opoly(X5463)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Olinorder])]) ).
fof(i_0_2527,plain,
! [X5476] :
( ~ class_Groups_Ozero(X5476)
| class_Groups_Ozero(tc_Polynomial_Opoly(X5476)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ozero])]) ).
fof(i_0_2528,plain,
! [X5462] :
( ~ class_Rings_Olinordered__idom(X5462)
| class_Orderings_Opreorder(tc_Polynomial_Opoly(X5462)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Orderings_Opreorder])]) ).
fof(i_0_2529,plain,
! [X5433] :
( ~ class_Rings_Olinordered__idom(X5433)
| class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(X5433)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs])]) ).
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____,esk9_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,esk20_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),esk24_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,negated_conjecture,
( ~ 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_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1)) ),
inference(split_conjunct,[status(thm)],[i_0_1486]),
[final] ).
cnf(i_0_2568,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_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),esk40_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,esk39_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),esk44_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,esk43_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))),esk46_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,esk45_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))),esk42_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,esk41_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)),esk46_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,esk45_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)),esk42_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,esk41_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,esk57_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,esk55_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),esk59_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,esk19_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,esk14_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))),esk62_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))),esk36_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))),esk29_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),esk52_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(X2,esk52_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,esk51_2(X2,X1))),hAPP(X2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk51_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,esk59_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)),esk38_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)),esk31_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)),esk63_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)),esk37_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)),esk30_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),esk56_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),esk54_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,esk53_1(X1))),hAPP(X1,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk53_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))
| ~ 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_1642]),
[final] ).
cnf(i_0_2752,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_1643]),
[final] ).
cnf(i_0_2753,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_1644]),
[final] ).
cnf(i_0_2754,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_1645]),
[final] ).
cnf(i_0_2755,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_1646]),
[final] ).
cnf(i_0_2756,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_1647]),
[final] ).
cnf(i_0_2757,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_1648]),
[final] ).
cnf(i_0_2758,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_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),esk20_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__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_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__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)))
| ~ 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_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__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_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)))
| ~ 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_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,esk47_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)))
| ~ 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_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)))
| ~ 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_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)))
| ~ 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_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)))
| ~ 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_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_Rings_Olinordered__idom(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_Groups_Olinordered__ab__group__add(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,esk15_2(X2,X1))),hAPP(X2,esk16_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,esk12_2(X2,X1))),hAPP(X2,esk11_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_1643]),
[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_1645]),
[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_1647]),
[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_1649]),
[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_Oordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1749]),
[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)))
| ~ 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_1750]),
[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)))
| ~ 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_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)))
| ~ 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_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)))
| ~ 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_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_Olinordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1671]),
[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),esk58_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_1653]),
[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_1652]),
[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)),esk33_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)),esk28_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)),esk26_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)),esk32_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)),esk27_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)),esk25_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_Rings_Olinordered__idom(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_Groups_Olinordered__ab__group__add(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_Oordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1823]),
[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)))
| ~ 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_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)))
| ~ 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_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_RealVector_Oreal__normed__field(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_Rings_Odivision__ring(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_Oordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1823]),
[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_Olinordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[i_0_1809]),
[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,esk48_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_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_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__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_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_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_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_1865]),
[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_1762]),
[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_RealVector_Oreal__normed__field(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_Rings_Odivision__ring(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),esk48_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),esk21_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,esk22_1(X1))),hAPP(X1,esk23_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 = esk34_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,esk3_1(X1))),hAPP(X1,esk4_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))),esk18_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))),esk13_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),esk50_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)),esk35_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)),esk34_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),esk35_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),esk34_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,esk58_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),esk21_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,
( 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_2129]),
[final] ).
cnf(i_0_3439,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_2130]),
[final] ).
cnf(i_0_3440,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_2131]),
[final] ).
cnf(i_0_3441,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_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,
( ~ 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_2135]),
[final] ).
cnf(i_0_3445,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_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,esk21_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,esk15_2(X1,X2)),esk16_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,esk11_2(X1,X2)),esk12_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,
( 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_2174]),
[final] ).
cnf(i_0_3500,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_2175]),
[final] ).
cnf(i_0_3501,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_2176]),
[final] ).
cnf(i_0_3502,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_2177]),
[final] ).
cnf(i_0_3503,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_2178]),
[final] ).
cnf(i_0_3504,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_2179]),
[final] ).
cnf(i_0_3505,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_3506,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_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_2174]),
[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_2175]),
[final] ).
cnf(i_0_3517,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_3518,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_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),esk49_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,
( 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_2205]),
[final] ).
cnf(i_0_3539,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_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),esk17_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),esk10_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,
( 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_2239]),
[final] ).
cnf(i_0_3582,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_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_2240]),
[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_2241]),
[final] ).
cnf(i_0_3585,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_2242]),
[final] ).
cnf(i_0_3586,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_2243]),
[final] ).
cnf(i_0_3587,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_2244]),
[final] ).
cnf(i_0_3588,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_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
| ~ 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_2247]),
[final] ).
cnf(i_0_3591,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_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_2137]),
[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_2249]),
[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_2250]),
[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_2135]),
[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_2251]),
[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)),esk18_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)),esk13_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)),esk31_2(X1,X2)))
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1582]),
[final] ).
cnf(i_0_3643,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk30_2(X1,X2)))
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1586]),
[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)),esk38_2(X1,X2)))
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1581]),
[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)),esk37_2(X1,X2)))
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(split_conjunct,[status(thm)],[i_0_1585]),
[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,esk22_1(X1)),esk23_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_2174]),
[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))
| X2 != X3 ),
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))
| X3 != X2 ),
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_2206]),
[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,esk3_1(X1)),esk4_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)),esk29_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)),esk36_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)
| ~ 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_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)
| 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_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_2129]),
[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_2129]),
[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_2175]),
[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)),esk26_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)),esk25_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)),esk28_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)),esk27_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_2213]),
[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_2367]),
[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_2205]),
[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_RealVector_Oreal__normed__field(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_Rings_Odivision__ring(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_Ocomm__monoid__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_Omonoid__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_Ocomm__monoid__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_Omonoid__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_2330]),
[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_2330]),
[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_Ocomm__monoid__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_Omonoid__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_Ocomm__monoid__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_Omonoid__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_Rings_Olinordered__idom(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_RealVector_Oreal__normed__vector(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_Rings_Olinordered__idom(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_RealVector_Oreal__normed__vector(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_Rings_Oring(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2480]),
[final] ).
cnf(i_0_3923,plain,
( class_Groups_Oab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2481]),
[final] ).
cnf(i_0_3924,plain,
( class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2482]),
[final] ).
cnf(i_0_3925,plain,
( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Oab__group__add(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__comm__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__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_Oordered__comm__semiring(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_Oordered__semiring(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__ring(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__cancel__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_Olinordered__ring__strict(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_Olinordered__ring(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_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(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_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2500]),
[final] ).
cnf(i_0_3943,plain,
( class_Rings_Osemiring(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_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2502]),
[final] ).
cnf(i_0_3945,plain,
( class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2503]),
[final] ).
cnf(i_0_3946,plain,
( class_Rings_Omult__zero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2504]),
[final] ).
cnf(i_0_3947,plain,
( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2505]),
[final] ).
cnf(i_0_3948,plain,
( class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2506]),
[final] ).
cnf(i_0_3949,plain,
( class_Groups_Osgn__if(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2507]),
[final] ).
cnf(i_0_3950,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2508]),
[final] ).
cnf(i_0_3951,plain,
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2509]),
[final] ).
cnf(i_0_3952,plain,
( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2510]),
[final] ).
cnf(i_0_3953,plain,
( class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2511]),
[final] ).
cnf(i_0_3954,plain,
( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2512]),
[final] ).
cnf(i_0_3955,plain,
( class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2513]),
[final] ).
cnf(i_0_3956,plain,
( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2514]),
[final] ).
cnf(i_0_3957,plain,
( class_Groups_Oordered__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__imp__le(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_Olinordered__ab__group__add(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_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ocomm__monoid__add(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_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ocancel__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2520]),
[final] ).
cnf(i_0_3963,plain,
( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ocancel__comm__monoid__add(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_Oone(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2523]),
[final] ).
cnf(i_0_3966,plain,
( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2524]),
[final] ).
cnf(i_0_3967,plain,
( class_Orderings_Oord(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2525]),
[final] ).
cnf(i_0_3968,plain,
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2526]),
[final] ).
cnf(i_0_3969,plain,
( class_Groups_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2527]),
[final] ).
cnf(i_0_3970,plain,
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[i_0_2528]),
[final] ).
cnf(i_0_3971,plain,
( class_Groups_Oordered__ab__group__add__abs(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(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]),
[final] ).
cnf(i_0_4003,plain,
class_Fields_Ofield(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Ofield]),
[final] ).
cnf(i_0_4004,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_4005,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_4006,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_4007,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_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_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield__inverse__zero]),
[final] ).
cnf(i_0_4011,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_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_Rings_Oring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring]),
[final] ).
cnf(i_0_4021,plain,
class_Rings_Oring(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring]),
[final] ).
cnf(i_0_4022,plain,
class_Rings_Oring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oring]),
[final] ).
cnf(i_0_4023,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_4024,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_4025,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_4026,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_4027,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_4028,plain,
class_Groups_Ogroup__add(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ogroup__add]),
[final] ).
cnf(i_0_4029,plain,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]),
[final] ).
cnf(i_0_4030,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__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_Rings_Olinordered__semiring__1(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring__1]),
[final] ).
cnf(i_0_4043,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_4044,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_4045,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_4046,plain,
class_Rings_Olinordered__semiring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring]),
[final] ).
cnf(i_0_4047,plain,
class_Rings_Olinordered__semiring(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semiring]),
[final] ).
cnf(i_0_4048,plain,
class_Rings_Olinordered__semiring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semiring]),
[final] ).
cnf(i_0_4049,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_4050,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_4051,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_4052,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_4053,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_4054,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_4055,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_4056,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_4057,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_4058,plain,
class_Rings_Oordered__semiring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__semiring]),
[final] ).
cnf(i_0_4059,plain,
class_Rings_Oordered__semiring(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__semiring]),
[final] ).
cnf(i_0_4060,plain,
class_Rings_Oordered__semiring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__semiring]),
[final] ).
cnf(i_0_4061,plain,
class_Rings_Oordered__ring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__ring]),
[final] ).
cnf(i_0_4062,plain,
class_Rings_Oordered__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Oordered__ring]),
[final] ).
cnf(i_0_4063,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_4064,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_4065,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_4066,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_4067,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_4068,plain,
class_Rings_Olinordered__ring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__ring]),
[final] ).
cnf(i_0_4069,plain,
class_Rings_Olinordered__ring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__ring]),
[final] ).
cnf(i_0_4070,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_4071,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_4072,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_4073,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_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_Rings_Ocomm__semiring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring]),
[final] ).
cnf(i_0_4079,plain,
class_Rings_Ocomm__semiring(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring]),
[final] ).
cnf(i_0_4080,plain,
class_Rings_Ocomm__semiring(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring]),
[final] ).
cnf(i_0_4081,plain,
class_Rings_Ocomm__semiring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring]),
[final] ).
cnf(i_0_4082,plain,
class_Rings_Osemiring(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring]),
[final] ).
cnf(i_0_4083,plain,
class_Rings_Osemiring(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring]),
[final] ).
cnf(i_0_4084,plain,
class_Rings_Osemiring(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring]),
[final] ).
cnf(i_0_4085,plain,
class_Rings_Osemiring(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Osemiring]),
[final] ).
cnf(i_0_4086,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_4087,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_4088,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_4089,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_4090,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_4091,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_4092,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_4093,plain,
class_Rings_Omult__zero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Omult__zero]),
[final] ).
cnf(i_0_4094,plain,
class_Rings_Omult__zero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Omult__zero]),
[final] ).
cnf(i_0_4095,plain,
class_Rings_Omult__zero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Omult__zero]),
[final] ).
cnf(i_0_4096,plain,
class_Rings_Omult__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Omult__zero]),
[final] ).
cnf(i_0_4097,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_4098,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_4099,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_4100,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_4101,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_4102,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_4103,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_4104,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_4105,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_4106,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_4107,plain,
class_Groups_Osgn__if(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Osgn__if]),
[final] ).
cnf(i_0_4108,plain,
class_Groups_Osgn__if(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Osgn__if]),
[final] ).
cnf(i_0_4109,plain,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Ometric__space]),
[final] ).
cnf(i_0_4110,plain,
class_RealVector_Ometric__space(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Ometric__space]),
[final] ).
cnf(i_0_4111,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_4112,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_4113,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_4114,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_4115,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_4116,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_4117,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_4118,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_4119,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_4120,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_4121,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_4122,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_4123,plain,
class_Rings_Olinordered__idom(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__idom]),
[final] ).
cnf(i_0_4124,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]),
[final] ).
cnf(i_0_4125,plain,
class_Rings_Olinordered__semidom(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semidom]),
[final] ).
cnf(i_0_4126,plain,
class_Rings_Olinordered__semidom(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semidom]),
[final] ).
cnf(i_0_4127,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__semidom]),
[final] ).
cnf(i_0_4128,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_4129,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_4130,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_4131,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_4132,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_4133,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_4134,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_4135,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_4136,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_4137,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_4138,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_4139,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_4140,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_4141,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_4142,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_4143,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_4144,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_4145,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_4146,plain,
class_Groups_Omonoid__add(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__add]),
[final] ).
cnf(i_0_4147,plain,
class_Groups_Omonoid__add(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__add]),
[final] ).
cnf(i_0_4148,plain,
class_Groups_Omonoid__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__add]),
[final] ).
cnf(i_0_4149,plain,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Omonoid__add]),
[final] ).
cnf(i_0_4150,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_4151,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_4152,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_4153,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_4154,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_4155,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_4156,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_4157,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_4158,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_4159,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_4160,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_4161,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_4162,plain,
class_Groups_Oone(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oone]),
[final] ).
cnf(i_0_4163,plain,
class_Groups_Oone(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oone]),
[final] ).
cnf(i_0_4164,plain,
class_Groups_Oone(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oone]),
[final] ).
cnf(i_0_4165,plain,
class_Groups_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oone]),
[final] ).
cnf(i_0_4166,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_4167,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_4168,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_4169,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_4170,plain,
class_Orderings_Oorder(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oorder]),
[final] ).
cnf(i_0_4171,plain,
class_Orderings_Oorder(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Oorder]),
[final] ).
cnf(i_0_4172,plain,
class_Orderings_Oorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Oorder]),
[final] ).
cnf(i_0_4173,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]),
[final] ).
cnf(i_0_4174,plain,
class_Orderings_Oord(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Oord]),
[final] ).
cnf(i_0_4175,plain,
class_Orderings_Oord(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Oord]),
[final] ).
cnf(i_0_4176,plain,
class_Orderings_Oord(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Oord]),
[final] ).
cnf(i_0_4177,plain,
class_Orderings_Oord(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oord]),
[final] ).
cnf(i_0_4178,plain,
class_Orderings_Olinorder(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Olinorder]),
[final] ).
cnf(i_0_4179,plain,
class_Orderings_Olinorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Olinorder]),
[final] ).
cnf(i_0_4180,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]),
[final] ).
cnf(i_0_4181,plain,
class_Groups_Ozero(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ozero]),
[final] ).
cnf(i_0_4182,plain,
class_Groups_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ozero]),
[final] ).
cnf(i_0_4183,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]),
[final] ).
cnf(i_0_4184,plain,
class_Groups_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ozero]),
[final] ).
cnf(i_0_4185,plain,
class_Orderings_Opreorder(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Opreorder]),
[final] ).
cnf(i_0_4186,plain,
class_Orderings_Opreorder(tc_Int_Oint),
inference(split_conjunct,[status(thm)],[arity_Int__Oint__Orderings_Opreorder]),
[final] ).
cnf(i_0_4187,plain,
class_Orderings_Opreorder(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Orderings_Opreorder]),
[final] ).
cnf(i_0_4188,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]),
[final] ).
cnf(i_0_4189,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_4190,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_4191,plain,
c_SEQ_Osubseq(esk9_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__case(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__case(X2,X3,X4) ) ).
cnf(i_0_4200,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__case(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__case(X3,X2,X4) ) ).
cnf(i_0_4201,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__case(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__case(X3,X4,X2) ) ).
cnf(i_0_4202,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__rec(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__rec(X2,X3,X4) ) ).
cnf(i_0_4203,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__rec(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__rec(X3,X2,X4) ) ).
cnf(i_0_4204,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X2) ) ).
cnf(i_0_4205,axiom,
( X1 != X2
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3) ) ).
cnf(i_0_4206,axiom,
( X1 != X2
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2) ) ).
cnf(i_0_4207,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).
cnf(i_0_4208,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).
cnf(i_0_4209,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__size(X1) = c_Complex_Ocomplex_Ocomplex__size(X2) ) ).
cnf(i_0_4210,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(X1,X3) = c_Orderings_Oord__class_Oless__eq(X2,X3) ) ).
cnf(i_0_4211,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(X3,X1) = c_Orderings_Oord__class_Oless__eq(X3,X2) ) ).
cnf(i_0_4212,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X1) = c_Power_Opower__class_Opower(X2) ) ).
cnf(i_0_4213,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless(X1,X3) = c_Orderings_Oord__class_Oless(X2,X3) ) ).
cnf(i_0_4214,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless(X3,X1) = c_Orderings_Oord__class_Oless(X3,X2) ) ).
cnf(i_0_4215,axiom,
( X1 != X2
| c_RealDef_Oreal(X1,X3) = c_RealDef_Oreal(X2,X3) ) ).
cnf(i_0_4216,axiom,
( X1 != X2
| c_RealDef_Oreal(X3,X1) = c_RealDef_Oreal(X3,X2) ) ).
cnf(i_0_4217,axiom,
( X1 != X2
| c_Groups_Ominus__class_Ominus(X1,X3,X4) = c_Groups_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_4218,axiom,
( X1 != X2
| c_Groups_Ominus__class_Ominus(X3,X1,X4) = c_Groups_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_4219,axiom,
( X1 != X2
| c_Groups_Ominus__class_Ominus(X3,X4,X1) = c_Groups_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_4220,axiom,
( X1 != X2
| c_Divides_Odiv__class_Odiv(X1,X3,X4) = c_Divides_Odiv__class_Odiv(X2,X3,X4) ) ).
cnf(i_0_4221,axiom,
( X1 != X2
| c_Divides_Odiv__class_Odiv(X3,X1,X4) = c_Divides_Odiv__class_Odiv(X3,X2,X4) ) ).
cnf(i_0_4222,axiom,
( X1 != X2
| c_Divides_Odiv__class_Odiv(X3,X4,X1) = c_Divides_Odiv__class_Odiv(X3,X4,X2) ) ).
cnf(i_0_4223,axiom,
( X1 != X2
| c_Complex_Ocomplex_OComplex(X1,X3) = c_Complex_Ocomplex_OComplex(X2,X3) ) ).
cnf(i_0_4224,axiom,
( X1 != X2
| c_Complex_Ocomplex_OComplex(X3,X1) = c_Complex_Ocomplex_OComplex(X3,X2) ) ).
cnf(i_0_4225,axiom,
( X1 != X2
| c_Complex_Orcis(X1,X3) = c_Complex_Orcis(X2,X3) ) ).
cnf(i_0_4226,axiom,
( X1 != X2
| c_Complex_Orcis(X3,X1) = c_Complex_Orcis(X3,X2) ) ).
cnf(i_0_4227,axiom,
( X1 != X2
| c_RComplete_Onatfloor(X1) = c_RComplete_Onatfloor(X2) ) ).
cnf(i_0_4228,axiom,
( X1 != X2
| c_Groups_Oabs__class_Oabs(X1,X3) = c_Groups_Oabs__class_Oabs(X2,X3) ) ).
cnf(i_0_4229,axiom,
( X1 != X2
| c_Groups_Oabs__class_Oabs(X3,X1) = c_Groups_Oabs__class_Oabs(X3,X2) ) ).
cnf(i_0_4230,axiom,
( X1 != X2
| c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).
cnf(i_0_4231,axiom,
( X1 != X2
| c_RComplete_Onatceiling(X1) = c_RComplete_Onatceiling(X2) ) ).
cnf(i_0_4232,axiom,
( X1 != X2
| c_Power_Opower_Opower(X1,X3,X4) = c_Power_Opower_Opower(X2,X3,X4) ) ).
cnf(i_0_4233,axiom,
( X1 != X2
| c_Power_Opower_Opower(X3,X1,X4) = c_Power_Opower_Opower(X3,X2,X4) ) ).
cnf(i_0_4234,axiom,
( X1 != X2
| c_Power_Opower_Opower(X3,X4,X1) = c_Power_Opower_Opower(X3,X4,X2) ) ).
cnf(i_0_4235,axiom,
( X1 != X2
| c_Groups_Oone__class_Oone(X1) = c_Groups_Oone__class_Oone(X2) ) ).
cnf(i_0_4236,axiom,
( X1 != X2
| c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ozero__class_Ozero(X2) ) ).
cnf(i_0_4237,axiom,
( X1 != X2
| esk34_2(X1,X3) = esk34_2(X2,X3) ) ).
cnf(i_0_4238,axiom,
( X1 != X2
| esk34_2(X3,X1) = esk34_2(X3,X2) ) ).
cnf(i_0_4239,axiom,
( X1 != X2
| c_Nat__Transfer_Otsub(X1,X3) = c_Nat__Transfer_Otsub(X2,X3) ) ).
cnf(i_0_4240,axiom,
( X1 != X2
| c_Nat__Transfer_Otsub(X3,X1) = c_Nat__Transfer_Otsub(X3,X2) ) ).
cnf(i_0_4241,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).
cnf(i_0_4242,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).
cnf(i_0_4243,axiom,
( X1 != X2
| c_Groups_Osgn__class_Osgn(X1,X3) = c_Groups_Osgn__class_Osgn(X2,X3) ) ).
cnf(i_0_4244,axiom,
( X1 != X2
| c_Groups_Osgn__class_Osgn(X3,X1) = c_Groups_Osgn__class_Osgn(X3,X2) ) ).
cnf(i_0_4245,axiom,
( X1 != X2
| c_Complex_Oexpi(X1) = c_Complex_Oexpi(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_Ocomm__monoid__add(X1)
| class_Groups_Ocomm__monoid__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_Omonoid__add(X1)
| class_Groups_Omonoid__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__case(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__case(X2,X3,X4) ) ).
cnf(i_0_4200_007,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__case(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__case(X3,X2,X4) ) ).
cnf(i_0_4201_008,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__case(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__case(X3,X4,X2) ) ).
cnf(i_0_4202_009,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__rec(X1,X3,X4) = c_Complex_Ocomplex_Ocomplex__rec(X2,X3,X4) ) ).
cnf(i_0_4203_010,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__rec(X3,X1,X4) = c_Complex_Ocomplex_Ocomplex__rec(X3,X2,X4) ) ).
cnf(i_0_4204_011,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X1) = c_Complex_Ocomplex_Ocomplex__rec(X3,X4,X2) ) ).
cnf(i_0_4205_012,axiom,
( X1 != X2
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3) ) ).
cnf(i_0_4206_013,axiom,
( X1 != X2
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2) ) ).
cnf(i_0_4207_014,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).
cnf(i_0_4208_015,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).
cnf(i_0_4209_016,axiom,
( X1 != X2
| c_Complex_Ocomplex_Ocomplex__size(X1) = c_Complex_Ocomplex_Ocomplex__size(X2) ) ).
cnf(i_0_4210_017,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(X1,X3) = c_Orderings_Oord__class_Oless__eq(X2,X3) ) ).
cnf(i_0_4211_018,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless__eq(X3,X1) = c_Orderings_Oord__class_Oless__eq(X3,X2) ) ).
cnf(i_0_4212_019,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X1) = c_Power_Opower__class_Opower(X2) ) ).
cnf(i_0_4213_020,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless(X1,X3) = c_Orderings_Oord__class_Oless(X2,X3) ) ).
cnf(i_0_4214_021,axiom,
( X1 != X2
| c_Orderings_Oord__class_Oless(X3,X1) = c_Orderings_Oord__class_Oless(X3,X2) ) ).
cnf(i_0_4215_022,axiom,
( X1 != X2
| c_RealDef_Oreal(X1,X3) = c_RealDef_Oreal(X2,X3) ) ).
cnf(i_0_4216_023,axiom,
( X1 != X2
| c_RealDef_Oreal(X3,X1) = c_RealDef_Oreal(X3,X2) ) ).
cnf(i_0_4217_024,axiom,
( X1 != X2
| c_Groups_Ominus__class_Ominus(X1,X3,X4) = c_Groups_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_4218_025,axiom,
( X1 != X2
| c_Groups_Ominus__class_Ominus(X3,X1,X4) = c_Groups_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_4219_026,axiom,
( X1 != X2
| c_Groups_Ominus__class_Ominus(X3,X4,X1) = c_Groups_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_4220_027,axiom,
( X1 != X2
| c_Divides_Odiv__class_Odiv(X1,X3,X4) = c_Divides_Odiv__class_Odiv(X2,X3,X4) ) ).
cnf(i_0_4221_028,axiom,
( X1 != X2
| c_Divides_Odiv__class_Odiv(X3,X1,X4) = c_Divides_Odiv__class_Odiv(X3,X2,X4) ) ).
cnf(i_0_4222_029,axiom,
( X1 != X2
| c_Divides_Odiv__class_Odiv(X3,X4,X1) = c_Divides_Odiv__class_Odiv(X3,X4,X2) ) ).
cnf(i_0_4223_030,axiom,
( X1 != X2
| c_Complex_Ocomplex_OComplex(X1,X3) = c_Complex_Ocomplex_OComplex(X2,X3) ) ).
cnf(i_0_4224_031,axiom,
( X1 != X2
| c_Complex_Ocomplex_OComplex(X3,X1) = c_Complex_Ocomplex_OComplex(X3,X2) ) ).
cnf(i_0_4225_032,axiom,
( X1 != X2
| c_Complex_Orcis(X1,X3) = c_Complex_Orcis(X2,X3) ) ).
cnf(i_0_4226_033,axiom,
( X1 != X2
| c_Complex_Orcis(X3,X1) = c_Complex_Orcis(X3,X2) ) ).
cnf(i_0_4227_034,axiom,
( X1 != X2
| c_RComplete_Onatfloor(X1) = c_RComplete_Onatfloor(X2) ) ).
cnf(i_0_4228_035,axiom,
( X1 != X2
| c_Groups_Oabs__class_Oabs(X1,X3) = c_Groups_Oabs__class_Oabs(X2,X3) ) ).
cnf(i_0_4229_036,axiom,
( X1 != X2
| c_Groups_Oabs__class_Oabs(X3,X1) = c_Groups_Oabs__class_Oabs(X3,X2) ) ).
cnf(i_0_4230_037,axiom,
( X1 != X2
| c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).
cnf(i_0_4231_038,axiom,
( X1 != X2
| c_RComplete_Onatceiling(X1) = c_RComplete_Onatceiling(X2) ) ).
cnf(i_0_4232_039,axiom,
( X1 != X2
| c_Power_Opower_Opower(X1,X3,X4) = c_Power_Opower_Opower(X2,X3,X4) ) ).
cnf(i_0_4233_040,axiom,
( X1 != X2
| c_Power_Opower_Opower(X3,X1,X4) = c_Power_Opower_Opower(X3,X2,X4) ) ).
cnf(i_0_4234_041,axiom,
( X1 != X2
| c_Power_Opower_Opower(X3,X4,X1) = c_Power_Opower_Opower(X3,X4,X2) ) ).
cnf(i_0_4235_042,axiom,
( X1 != X2
| c_Groups_Oone__class_Oone(X1) = c_Groups_Oone__class_Oone(X2) ) ).
cnf(i_0_4236_043,axiom,
( X1 != X2
| c_Groups_Ozero__class_Ozero(X1) = c_Groups_Ozero__class_Ozero(X2) ) ).
cnf(i_0_4237_044,axiom,
( X1 != X2
| esk34_2(X1,X3) = esk34_2(X2,X3) ) ).
cnf(i_0_4238_045,axiom,
( X1 != X2
| esk34_2(X3,X1) = esk34_2(X3,X2) ) ).
cnf(i_0_4239_046,axiom,
( X1 != X2
| c_Nat__Transfer_Otsub(X1,X3) = c_Nat__Transfer_Otsub(X2,X3) ) ).
cnf(i_0_4240_047,axiom,
( X1 != X2
| c_Nat__Transfer_Otsub(X3,X1) = c_Nat__Transfer_Otsub(X3,X2) ) ).
cnf(i_0_4241_048,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).
cnf(i_0_4242_049,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).
cnf(i_0_4243_050,axiom,
( X1 != X2
| c_Groups_Osgn__class_Osgn(X1,X3) = c_Groups_Osgn__class_Osgn(X2,X3) ) ).
cnf(i_0_4244_051,axiom,
( X1 != X2
| c_Groups_Osgn__class_Osgn(X3,X1) = c_Groups_Osgn__class_Osgn(X3,X2) ) ).
cnf(i_0_4245_052,axiom,
( X1 != X2
| c_Complex_Oexpi(X1) = c_Complex_Oexpi(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_Ocomm__monoid__add(X1)
| class_Groups_Ocomm__monoid__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_Omonoid__add(X1)
| class_Groups_Omonoid__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 = esk34_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,
( ~ class_Groups_Ocancel__semigroup__add(X1)
| X2 = 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,
( ~ class_Groups_Ocancel__semigroup__add(X1)
| X2 = 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,[],[3660]) ).
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_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,[],[3876]) ).
cnf(i_0_4448,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,[],[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_2567]) ).
cnf(i_0_4453,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(rename_variables,[],[i_0_2860]) ).
cnf(i_0_4454,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,hAPP(v_f____,hAPP(v_ga____,esk72_1(X1))))))),X1))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1)) ),
inference(rename_variables,[],[i_0_2567]) ).
cnf(i_0_4455,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_2860,i_0_3773,i_0_2567,i_0_2811]) ).
cnf(i_0_4456,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_4457,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_4458,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_2860,i_0_4414,i_0_3773,i_0_2567,i_0_2811,i_0_3364]) ).
cnf(i_0_4459,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4460,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_4461,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_3298,i_0_2860,i_0_4414,i_0_3773,i_0_2567,i_0_2811,i_0_3364,i_0_3415]) ).
cnf(i_0_4462,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_4463,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_3298,i_0_2860,i_0_4368,i_0_4414,i_0_3773,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427]) ).
cnf(i_0_4464,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_4465,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_2860,i_0_4368,i_0_4414,i_0_3773,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551]) ).
cnf(i_0_4466,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_4467,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_3298,i_0_2860,i_0_4368,i_0_4414,i_0_3772,i_0_3773,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356]) ).
cnf(i_0_4468,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4469,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_4470,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_3298,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_3773,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361]) ).
cnf(i_0_4471,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4472,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_4473,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_3298,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_4468,i_0_3773,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364]) ).
cnf(i_0_4474,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4475,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_4476,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_3298,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_4468,i_0_3773,i_0_3649,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689]) ).
cnf(i_0_4477,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_4478,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_4479,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_3298,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_4468,i_0_3773,i_0_2818,i_0_3649,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772]) ).
cnf(i_0_4480,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_4481,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_4482,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_4468,i_0_3773,i_0_2818,i_0_3649,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849]) ).
cnf(i_0_4483,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_4484,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_4485,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854]) ).
cnf(i_0_4486,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_4487,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864]) ).
cnf(i_0_4488,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_4489,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_4490,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873]) ).
cnf(i_0_4491,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4492,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_4493,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901]) ).
cnf(i_0_4494,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_4495,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_4496,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911]) ).
cnf(i_0_4497,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_4498,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937]) ).
cnf(i_0_4499,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_4500,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_4501,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,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_4502,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_4503,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_4504,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,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_4505,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_4506,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_4507,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_4491,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,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_4508,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4509,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_4510,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,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_4511,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_4512,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,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_4513,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4514,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_4515,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,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_4516,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_4517,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,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_4518,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_4519,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,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_4520,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_4521,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,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_4522,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_4523,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,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_4524,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_4525,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,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_4526,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4527,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_4528,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,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_4529,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_4530,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,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_4531,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_4532,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,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_4533,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_4534,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,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_4535,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_4536,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_4537,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,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_4538,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_4539,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,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_4540,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_4541,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,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_4542,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4543,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_4544,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,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_4545,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4546,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_4547,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_3009,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,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_4548,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_4549,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_4550,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_3009,i_0_4548,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,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_4551,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_4552,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_4553,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_3009,i_0_4548,i_0_4551,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,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_4554,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_4555,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_4556,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_3009,i_0_4548,i_0_4551,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,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_4557,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_4558,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_4559,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,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_4560,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_4561,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_4562,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_2818,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,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_4563,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_4564,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,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_4565,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_4566,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,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_4567,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_4568,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_4569,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,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_4570,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4571,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_4572,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,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_4573,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4574,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_4575,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,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_4576,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_4577,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,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_4578,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_4579,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,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_4580,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_4581,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_3298,i_0_3105,i_0_2860,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,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_4582,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_4583,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),esk26_0)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,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_4584,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_4585,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396]) ).
cnf(i_0_4586,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4587,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_4588,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397]) ).
cnf(i_0_4589,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4590,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_4591,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401]) ).
cnf(i_0_4592,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4593,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_4594,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412]) ).
cnf(i_0_4595,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_4596,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413]) ).
cnf(i_0_4597,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_4598,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419]) ).
cnf(i_0_4599,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_4600,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_3010,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424]) ).
cnf(i_0_4601,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_4602,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_4603,plain,
~ class_Groups_Ogroup__add(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425]) ).
cnf(i_0_4604,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_4605,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_4606,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433]) ).
cnf(i_0_4607,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4608,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_4609,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434]) ).
cnf(i_0_4610,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_4611,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_4612,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435]) ).
cnf(i_0_4613,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_4614,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485]) ).
cnf(i_0_4615,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4616,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_4617,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486]) ).
cnf(i_0_4618,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4619,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_4620,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_3298,i_0_3105,i_0_2860,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489]) ).
cnf(i_0_4621,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4622,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_4623,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491]) ).
cnf(i_0_4624,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_4625,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,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_4626,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_4627,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,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_4628,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_4629,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),esk49_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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,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_4630,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),esk49_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
inference(rename_variables,[],[i_0_3532]) ).
cnf(i_0_4631,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,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_4632,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_4633,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,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_4634,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_4635,plain,
X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk17_2(X1,X1)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,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_4636,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),esk17_2(X2,X1)) ),
inference(rename_variables,[],[i_0_3558]) ).
cnf(i_0_4637,plain,
X1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk10_2(X1,X1)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,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_4638,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),esk10_2(X2,X1)) ),
inference(rename_variables,[],[i_0_3559]) ).
cnf(i_0_4639,plain,
c_Nat__Transfer_Otsub(X1,X1) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,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_4640,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_4641,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,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_4642,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_4643,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,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_4644,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_4645,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,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_4646,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_4647,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,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_4648,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_4649,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,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_4650,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_4651,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,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_4652,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_4653,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,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_4654,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_4655,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,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_4656,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_4657,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_4658,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,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_4659,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_4660,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,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_4661,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_3682]) ).
cnf(i_0_4662,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,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_4663,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
| X2 != X1 ),
inference(rename_variables,[],[i_0_3686]) ).
cnf(i_0_4664,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,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_4665,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_3687]) ).
cnf(i_0_4666,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,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_4667,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_3688]) ).
cnf(i_0_4668,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,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_4669,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_4670,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,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_4671,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_4672,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3768,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,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_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,
( 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_4675,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,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_4676,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_4677,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,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_4678,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_4679,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_4680,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,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_4681,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_4682,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_4683,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,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_4684,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_4685,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_4686,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,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_4687,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_4688,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,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_4689,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_4690,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,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_4691,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_4692,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_4693,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375]) ).
cnf(i_0_4694,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_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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,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_3298,i_0_3105,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,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,
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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752]) ).
cnf(i_0_4699,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_4700,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_4701,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856]) ).
cnf(i_0_4702,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_4703,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000]) ).
cnf(i_0_4704,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4705,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_4706,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001]) ).
cnf(i_0_4707,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4708,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_4709,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047]) ).
cnf(i_0_4710,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4711,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_4712,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_4713,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060]) ).
cnf(i_0_4714,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4715,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_4716,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_4717,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138]) ).
cnf(i_0_4718,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4719,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_4720,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181]) ).
cnf(i_0_4721,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_4722,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190]) ).
cnf(i_0_4723,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4724,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_4725,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196]) ).
cnf(i_0_4726,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4727,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_4728,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197]) ).
cnf(i_0_4729,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4730,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_4731,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,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208]) ).
cnf(i_0_4732,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4733,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_4734,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk35_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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235]) ).
cnf(i_0_4735,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)),esk35_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3235]) ).
cnf(i_0_4736,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk34_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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236]) ).
cnf(i_0_4737,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)),esk34_2(X1,X2))) ),
inference(rename_variables,[],[i_0_3236]) ).
cnf(i_0_4738,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246]) ).
cnf(i_0_4739,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4740,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_4741,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302]) ).
cnf(i_0_4742,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_4743,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321]) ).
cnf(i_0_4744,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_4745,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353]) ).
cnf(i_0_4746,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_4747,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377]) ).
cnf(i_0_4748,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_4749,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_3298,i_0_3105,i_0_4483,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394]) ).
cnf(i_0_4750,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4751,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_4752,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4173,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516]) ).
cnf(i_0_4753,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_4754,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk26_0)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4173,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518]) ).
cnf(i_0_4755,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_4756,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4173,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539]) ).
cnf(i_0_4757,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_4758,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))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3539]) ).
cnf(i_0_4759,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4173,i_0_4179,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598]) ).
cnf(i_0_4760,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_4761,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4173,i_0_4179,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655]) ).
cnf(i_0_4762,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_4763,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4173,i_0_4179,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674]) ).
cnf(i_0_4764,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4765,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_4766,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725]) ).
cnf(i_0_4767,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_4768,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726]) ).
cnf(i_0_4769,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_4770,plain,
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))) != 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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246]) ).
cnf(i_0_4771,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539]) ).
cnf(i_0_4772,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_4773,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540]) ).
cnf(i_0_4774,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_4775,plain,
c_SEQ_OBseq(tc_Complex_Ocomplex,v_s),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541]) ).
cnf(i_0_4776,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_4777,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk20_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_4778,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542]) ).
cnf(i_0_4779,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_4780,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_4781,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543]) ).
cnf(i_0_4782,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_4783,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_4784,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545]) ).
cnf(i_0_4785,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_4786,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_4787,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546]) ).
cnf(i_0_4788,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_4789,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_Int_Oint),X2),X2)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,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_4790,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4791,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_4792,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_3856,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,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_4793,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_4794,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_4795,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,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_4796,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_4797,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_4798,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,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_4799,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_4800,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_4801,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,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_4802,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_4803,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_4804,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,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_4805,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_4806,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_4807,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,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_4808,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_4809,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_4810,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,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_4811,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_4812,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_4813,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,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_4814,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_4815,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,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_4816,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_4817,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_4818,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_4819,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,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_4820,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4821,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_4822,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,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_4823,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_4824,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_4825,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_4826,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,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_4827,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4828,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_4829,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,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_4830,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4831,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_4832,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,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_4833,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_4834,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,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_4835,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_4836,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_4837,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4133,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,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_4838,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_4839,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_4840,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,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_4841,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_4842,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,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_4843,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_4844,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,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_4845,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_4846,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,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_4847,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_4848,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_4849,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_4850,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_4851,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_4852,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_4853,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_4854,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_4855,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4856,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_4857,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_4858,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4859,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_4860,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_4861,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4862,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_4863,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007]) ).
cnf(i_0_4864,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4865,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_4866,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_4867,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013]) ).
cnf(i_0_4868,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_4869,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020]) ).
cnf(i_0_4870,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_4871,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023]) ).
cnf(i_0_4872,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_4873,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024]) ).
cnf(i_0_4874,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_4875,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025]) ).
cnf(i_0_4876,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_4877,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk48_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070]) ).
cnf(i_0_4878,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_4879,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_4880,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,esk48_2(X2,X1)),X2))
| X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(rename_variables,[],[i_0_3070]) ).
cnf(i_0_4881,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074]) ).
cnf(i_0_4882,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_4883,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4884,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_4885,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095]) ).
cnf(i_0_4886,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4887,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_4888,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096]) ).
cnf(i_0_4889,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4890,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_4891,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102]) ).
cnf(i_0_4892,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4893,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_4894,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103]) ).
cnf(i_0_4895,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_4896,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191]) ).
cnf(i_0_4897,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4898,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_4899,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199]) ).
cnf(i_0_4900,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4901,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_4902,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217]) ).
cnf(i_0_4903,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_4904,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222]) ).
cnf(i_0_4905,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_4906,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224]) ).
cnf(i_0_4907,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3696]) ).
cnf(i_0_4908,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_4909,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_4910,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237]) ).
cnf(i_0_4911,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4912,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_4913,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273]) ).
cnf(i_0_4914,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4915,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_4916,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk35_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306]) ).
cnf(i_0_4917,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),esk35_2(X1,X2)),X2) = X1 ),
inference(rename_variables,[],[i_0_3306]) ).
cnf(i_0_4918,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk34_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307]) ).
cnf(i_0_4919,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),esk34_2(X1,X2)),X2) = X1 ),
inference(rename_variables,[],[i_0_3307]) ).
cnf(i_0_4920,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(esk9_0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(esk9_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329]) ).
cnf(i_0_4921,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_4922,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Osgn__class_Osgn(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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332]) ).
cnf(i_0_4923,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_4924,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347]) ).
cnf(i_0_4925,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_4926,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376]) ).
cnf(i_0_4927,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_4928,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_4929,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379]) ).
cnf(i_0_4930,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_4931,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_4932,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381]) ).
cnf(i_0_4933,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_4934,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_4935,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382]) ).
cnf(i_0_4936,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_4937,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_4938,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383]) ).
cnf(i_0_4939,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_4940,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_4941,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442]) ).
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_Oorder(X1) ),
inference(rename_variables,[],[i_0_3442]) ).
cnf(i_0_4943,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,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))),X1)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442,i_0_3443]) ).
cnf(i_0_4944,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_4945,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442,i_0_3443,i_0_3446]) ).
cnf(i_0_4946,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_4947,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk26_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442,i_0_3443,i_0_3446,i_0_3450]) ).
cnf(i_0_4948,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_4949,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451]) ).
cnf(i_0_4950,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_4951,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470]) ).
cnf(i_0_4952,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_4953,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_4954,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_4955,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,i_0_3442,i_0_3443,i_0_3446,i_0_3450,i_0_3451,i_0_3470,i_0_3476]) ).
cnf(i_0_4956,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_4957,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_4958,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_4959,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_4960,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_4961,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_4962,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_4963,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514]) ).
cnf(i_0_4964,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_4965,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514,i_0_3534]) ).
cnf(i_0_4966,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_4967,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514,i_0_3534,i_0_3537]) ).
cnf(i_0_4968,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_4969,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_4970,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514,i_0_3534,i_0_3537,i_0_3542]) ).
cnf(i_0_4971,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_4972,plain,
c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(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_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557]) ).
cnf(i_0_4973,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_4974,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_4975,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561]) ).
cnf(i_0_4976,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_4977,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_3514,i_0_3534,i_0_3537,i_0_3542,i_0_3557,i_0_3561,i_0_3562]) ).
cnf(i_0_4978,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_4979,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_4980,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_4981,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_4982,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_4983,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_4984,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_4985,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_4986,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_4987,plain,
( 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)
| X3 = X4 ),
inference(rename_variables,[],[i_0_3591]) ).
cnf(i_0_4988,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_4989,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_4990,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_4991,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_4992,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_4993,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_4994,plain,
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(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660]) ).
cnf(i_0_4995,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| X2 != X3
| ~ class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_3660]) ).
cnf(i_0_4996,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661]) ).
cnf(i_0_4997,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| X3 != X2
| ~ class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_3661]) ).
cnf(i_0_4998,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != esk26_0,
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662]) ).
cnf(i_0_4999,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_5000,plain,
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)) != X1,
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663]) ).
cnf(i_0_5001,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_5002,plain,
~ class_Groups_Oab__group__add(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707]) ).
cnf(i_0_5003,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_5004,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_5005,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_5006,plain,
esk17_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720]) ).
cnf(i_0_5007,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_5008,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757]) ).
cnf(i_0_5009,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_5010,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_5011,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861]) ).
cnf(i_0_5012,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_5013,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_5014,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861,i_0_3864]) ).
cnf(i_0_5015,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(rename_variables,[],[i_0_3690]) ).
cnf(i_0_5016,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_5017,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861,i_0_3864,i_0_3876]) ).
cnf(i_0_5018,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_3876]) ).
cnf(i_0_5019,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861,i_0_3864,i_0_3876,i_0_3877]) ).
cnf(i_0_5020,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_3877]) ).
cnf(i_0_5021,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878]) ).
cnf(i_0_5022,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_5023,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892]) ).
cnf(i_0_5024,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_5025,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,i_0_3861,i_0_3864,i_0_3876,i_0_3877,i_0_3878,i_0_3892,i_0_3893]) ).
cnf(i_0_5026,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_5027,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_5028,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_5029,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256]) ).
cnf(i_0_5030,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257]) ).
cnf(i_0_5031,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281]) ).
cnf(i_0_5032,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4109,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311]) ).
cnf(i_0_5033,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4093,i_0_4109,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312]) ).
cnf(i_0_5034,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4086,i_0_4093,i_0_4109,i_0_4116,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313]) ).
cnf(i_0_5035,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4086,i_0_4093,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314]) ).
cnf(i_0_5036,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315]) ).
cnf(i_0_5037,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316]) ).
cnf(i_0_5038,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317]) ).
cnf(i_0_5039,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,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_5040,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,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_5041,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,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_5042,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,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_5043,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,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_5044,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,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_5045,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_3987,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,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_5046,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,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_5047,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5048,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5049,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4004,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5050,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_3984,i_0_3987,i_0_3991,i_0_3995,i_0_4004,i_0_4006,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5051,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5052,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),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4066,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249]) ).
cnf(i_0_5053,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250]) ).
cnf(i_0_5054,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251]) ).
cnf(i_0_5055,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252]) ).
cnf(i_0_5056,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),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253]) ).
cnf(i_0_5057,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254]) ).
cnf(i_0_5058,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255]) ).
cnf(i_0_5059,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258]) ).
cnf(i_0_5060,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259]) ).
cnf(i_0_5061,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260]) ).
cnf(i_0_5062,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(rename_variables,[],[i_0_3690]) ).
cnf(i_0_5063,plain,
~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,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),X1),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261]) ).
cnf(i_0_5064,plain,
~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,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)),X1))),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(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262]) ).
cnf(i_0_5065,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265]) ).
cnf(i_0_5066,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),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266]) ).
cnf(i_0_5067,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),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4052,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267]) ).
cnf(i_0_5068,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4052,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268]) ).
cnf(i_0_5069,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4052,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270]) ).
cnf(i_0_5070,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),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4052,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271]) ).
cnf(i_0_5071,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4052,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272]) ).
cnf(i_0_5072,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4052,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273]) ).
cnf(i_0_5073,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274]) ).
cnf(i_0_5074,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275]) ).
cnf(i_0_5075,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276]) ).
cnf(i_0_5076,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277]) ).
cnf(i_0_5077,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278]) ).
cnf(i_0_5078,plain,
class_Groups_Oordered__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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279]) ).
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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280]) ).
cnf(i_0_5080,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286]) ).
cnf(i_0_5081,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286,i_0_4287]) ).
cnf(i_0_5082,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286,i_0_4287,i_0_4288]) ).
cnf(i_0_5083,plain,
tc_Int_Oint != tc_Nat_Onat,
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286,i_0_4287,i_0_4288,i_0_4289]) ).
cnf(i_0_5084,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4014,i_0_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290]) ).
cnf(i_0_5085,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291]) ).
cnf(i_0_5086,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4286,i_0_4287,i_0_4288,i_0_4289,i_0_4290,i_0_4291,i_0_4292]) ).
cnf(i_0_5087,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5088,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5089,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5090,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5091,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5092,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5093,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5094,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5095,plain,
tc_Complex_Ocomplex != tc_Nat_Onat,
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5096,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5097,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5098,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5099,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5100,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5101,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4417,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5102,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_4417]) ).
cnf(i_0_5103,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_3078]) ).
cnf(i_0_5104,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5105,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_5106,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5107,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_3079]) ).
cnf(i_0_5108,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5109,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_4417]) ).
cnf(i_0_5110,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_3080]) ).
cnf(i_0_5111,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5112,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_5113,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_5114,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5115,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_5116,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5117,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_5118,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5119,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_5120,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5121,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_5122,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk25_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_5109,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5123,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_4417]) ).
cnf(i_0_5124,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_5125,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_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5126,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_4417]) ).
cnf(i_0_5127,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_5128,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5129,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_5130,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_5131,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5132,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_5133,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))),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5134,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_5135,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5136,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_5137,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5138,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_5139,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_5140,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_5141,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_5142,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk21_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352]) ).
cnf(i_0_5143,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_5144,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5145,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_5146,plain,
( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),esk21_2(X3,X1)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_3352]) ).
cnf(i_0_5147,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395]) ).
cnf(i_0_5148,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_5149,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503]) ).
cnf(i_0_5150,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_5151,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_3503]) ).
cnf(i_0_5152,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506]) ).
cnf(i_0_5153,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| X2 = X3
| ~ class_Orderings_Olinorder(X1) ),
inference(rename_variables,[],[i_0_3506]) ).
cnf(i_0_5154,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507]) ).
cnf(i_0_5155,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_5156,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_5157,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_5158,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576]) ).
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__eq(X1,X2),X3))
| X2 != X3
| ~ class_Orderings_Olinorder(X1) ),
inference(rename_variables,[],[i_0_3576]) ).
cnf(i_0_5161,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581]) ).
cnf(i_0_5162,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_5163,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_3581]) ).
cnf(i_0_5164,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620]) ).
cnf(i_0_5165,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_5166,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_4417]) ).
cnf(i_0_5167,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_5168,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774]) ).
cnf(i_0_5169,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_5170,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5171,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_5172,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835]) ).
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(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_5176,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836]) ).
cnf(i_0_5177,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_5178,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_5179,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_5180,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837]) ).
cnf(i_0_5181,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_5182,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_5183,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918]) ).
cnf(i_0_5184,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5185,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_2918]) ).
cnf(i_0_5186,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919]) ).
cnf(i_0_5187,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_5188,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_2919]) ).
cnf(i_0_5189,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,X1)),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920]) ).
cnf(i_0_5190,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_2920]) ).
cnf(i_0_5191,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921]) ).
cnf(i_0_5192,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5193,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_5194,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932]) ).
cnf(i_0_5195,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5196,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_5197,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028]) ).
cnf(i_0_5198,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_5199,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_5200,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083]) ).
cnf(i_0_5201,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5202,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_5203,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098]) ).
cnf(i_0_5204,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_5205,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_5206,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099]) ).
cnf(i_0_5207,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_5208,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260]) ).
cnf(i_0_5209,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_5210,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5211,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_5212,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_5213,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292]) ).
cnf(i_0_5214,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_5215,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_5216,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))),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)) != 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)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346]) ).
cnf(i_0_5217,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_5218,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_5219,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411]) ).
cnf(i_0_5220,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_5221,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5222,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_5223,plain,
c_Divides_Odiv__class_Odiv(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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441]) ).
cnf(i_0_5224,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
| X3 = X2
| ~ class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_3441]) ).
cnf(i_0_5225,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533]) ).
cnf(i_0_5226,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_5227,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_5228,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(rename_variables,[],[i_0_3690]) ).
cnf(i_0_5229,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_5230,plain,
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))) = X1,
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637]) ).
cnf(i_0_5231,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_5232,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_5233,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_5234,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640]) ).
cnf(i_0_5235,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_5236,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_5237,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_5238,plain,
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))),c_Groups_Oone__class_Oone(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)),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_3769,i_0_4953,i_0_5004,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706]) ).
cnf(i_0_5239,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_5240,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_5241,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928]) ).
cnf(i_0_5242,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_5243,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5244,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_5245,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_5246,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,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_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,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220]) ).
cnf(i_0_5247,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_5248,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_5249,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),X1),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),X1),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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221]) ).
cnf(i_0_5250,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_5251,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_5252,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038]) ).
cnf(i_0_5253,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_5254,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5255,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_5256,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_5257,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)),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))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247]) ).
cnf(i_0_5258,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_5259,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(rename_variables,[],[i_0_3852]) ).
cnf(i_0_5260,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_5261,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421]) ).
cnf(i_0_5262,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_5263,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_5264,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))),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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625]) ).
cnf(i_0_5265,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_5266,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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767]) ).
cnf(i_0_5267,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_5268,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411]) ).
cnf(i_0_5269,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_5270,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893]) ).
cnf(i_0_5271,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_5272,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089]) ).
cnf(i_0_5273,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_5274,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118]) ).
cnf(i_0_5275,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_5276,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496]) ).
cnf(i_0_5277,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_5278,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,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_Nat_Onat),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572]) ).
cnf(i_0_5279,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_5280,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623]) ).
cnf(i_0_5281,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_5282,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666]) ).
cnf(i_0_5283,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_5284,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667]) ).
cnf(i_0_5285,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_5286,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761]) ).
cnf(i_0_5287,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_5288,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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219]) ).
cnf(i_0_5289,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,i_0_4319,i_0_4320,i_0_4321,i_0_4322,i_0_4323,i_0_4324,i_0_4325,i_0_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).
cnf(i_0_5290,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_5291,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784]) ).
cnf(i_0_5292,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5293,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_5294,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527]) ).
cnf(i_0_5295,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_5296,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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596]) ).
cnf(i_0_5297,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_5298,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727]) ).
cnf(i_0_5299,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_5300,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821]) ).
cnf(i_0_5301,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5302,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_5303,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863]) ).
cnf(i_0_5304,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_5305,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012]) ).
cnf(i_0_5306,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5307,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_5308,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375]) ).
cnf(i_0_5309,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_5310,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk26_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482]) ).
cnf(i_0_5311,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_5312,plain,
class_Fields_Olinordered__field(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))),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)))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263]) ).
cnf(i_0_5313,plain,
class_Fields_Olinordered__field__inverse__zero(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))),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)))),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264]) ).
cnf(i_0_5314,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284]) ).
cnf(i_0_5315,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(rename_variables,[],[i_0_3690]) ).
cnf(i_0_5316,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285]) ).
cnf(i_0_5317,plain,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(rename_variables,[],[i_0_2613]) ).
cnf(i_0_5318,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029]) ).
cnf(i_0_5319,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_5320,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104]) ).
cnf(i_0_5321,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_5322,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344]) ).
cnf(i_0_5323,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5324,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_5325,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249]) ).
cnf(i_0_5326,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_5327,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249,i_0_4198]) ).
cnf(i_0_5328,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_5323,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249,i_0_4198,i_0_3014]) ).
cnf(i_0_5329,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5330,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_5331,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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_5323,i_0_5329,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249,i_0_4198,i_0_3014,i_0_3015]) ).
cnf(i_0_5332,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5333,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_5334,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk64_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_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_5323,i_0_5329,i_0_5332,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249,i_0_4198,i_0_3014,i_0_3015,i_0_3016]) ).
cnf(i_0_5335,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_3772]) ).
cnf(i_0_5336,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,esk64_3(X3,X2,X1))) ),
inference(rename_variables,[],[i_0_3016]) ).
cnf(i_0_5337,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),esk71_3(X1,X2,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))
| ~ 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,X2,X1))) ),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_5220,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_5323,i_0_5329,i_0_5332,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249,i_0_4198,i_0_3014,i_0_3015,i_0_3016,i_0_3027]) ).
cnf(i_0_5338,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X1)),
inference(rename_variables,[],[i_0_4414]) ).
cnf(i_0_5339,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,esk71_3(X3,X2,X1))) ),
inference(rename_variables,[],[i_0_3027]) ).
cnf(i_0_5340,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(X1)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X2)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
inference(scs_inference,[],[i_0_3298,i_0_3105,i_0_4483,i_0_4699,i_0_4973,i_0_5174,i_0_2860,i_0_4453,i_0_3742,i_0_3743,i_0_3149,i_0_4419,i_0_4368,i_0_4358,i_0_4360,i_0_4414,i_0_4459,i_0_4471,i_0_4542,i_0_4545,i_0_4607,i_0_4704,i_0_4707,i_0_4710,i_0_4718,i_0_4726,i_0_4729,i_0_4739,i_0_4764,i_0_4820,i_0_4827,i_0_4865,i_0_5105,i_0_5129,i_0_5143,i_0_5220,i_0_4417,i_0_5102,i_0_5109,i_0_5123,i_0_5126,i_0_3834,i_0_4418,i_0_4372,i_0_4785,i_0_4799,i_0_4847,i_0_4850,i_0_4930,i_0_5145,i_0_5169,i_0_5198,i_0_5217,i_0_4387,i_0_4377,i_0_4437,i_0_3974,i_0_4061,i_0_4123,i_0_4124,i_0_4168,i_0_4169,i_0_3973,i_0_3693,i_0_2611,i_0_2613,i_0_3690,i_0_5015,i_0_5062,i_0_5228,i_0_3856,i_0_3852,i_0_3832,i_0_3733,i_0_5231,i_0_3734,i_0_4802,i_0_3849,i_0_3680,i_0_3696,i_0_4491,i_0_4508,i_0_4592,i_0_4830,i_0_4861,i_0_4883,i_0_4900,i_0_4907,i_0_3772,i_0_4468,i_0_4474,i_0_4513,i_0_4526,i_0_4714,i_0_4723,i_0_4732,i_0_4750,i_0_4790,i_0_4855,i_0_4858,i_0_4864,i_0_4886,i_0_4889,i_0_4892,i_0_4911,i_0_4914,i_0_4978,i_0_5106,i_0_5170,i_0_5184,i_0_5195,i_0_5201,i_0_5221,i_0_5292,i_0_5306,i_0_5323,i_0_5329,i_0_5332,i_0_3773,i_0_4456,i_0_4488,i_0_4816,i_0_4835,i_0_4952,i_0_5144,i_0_5192,i_0_5210,i_0_5243,i_0_5254,i_0_3774,i_0_4570,i_0_4573,i_0_4586,i_0_4589,i_0_4615,i_0_4618,i_0_4621,i_0_4897,i_0_4908,i_0_5112,i_0_5187,i_0_3669,i_0_4757,i_0_3653,i_0_3721,i_0_3722,i_0_3673,i_0_4779,i_0_4989,i_0_2582,i_0_3426,i_0_5159,i_0_2890,i_0_3651,i_0_3269,i_0_3042,i_0_3043,i_0_3739,i_0_4808,i_0_4811,i_0_4817,i_0_4824,i_0_4927,i_0_4956,i_0_4968,i_0_5209,i_0_5214,i_0_5242,i_0_3414,i_0_3176,i_0_4656,i_0_2818,i_0_4480,i_0_2688,i_0_3649,i_0_4477,i_0_4535,i_0_3084,i_0_3207,i_0_3457,i_0_4494,i_0_4499,i_0_4502,i_0_4505,i_0_3459,i_0_2986,i_0_4557,i_0_4560,i_0_4782,i_0_4823,i_0_2719,i_0_4838,i_0_5173,i_0_2633,i_0_4933,i_0_4936,i_0_3343,i_0_3009,i_0_4548,i_0_4551,i_0_4554,i_0_4601,i_0_3010,i_0_4567,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_4020,i_0_4023,i_0_4026,i_0_4027,i_0_4029,i_0_4031,i_0_4035,i_0_4039,i_0_4042,i_0_4044,i_0_4045,i_0_4046,i_0_4049,i_0_4052,i_0_4055,i_0_4058,i_0_4063,i_0_4064,i_0_4066,i_0_4067,i_0_4068,i_0_4070,i_0_4074,i_0_4078,i_0_4082,i_0_4086,i_0_4090,i_0_4093,i_0_4097,i_0_4099,i_0_4103,i_0_4105,i_0_4107,i_0_4109,i_0_4111,i_0_4115,i_0_4116,i_0_4119,i_0_4125,i_0_4126,i_0_4127,i_0_4128,i_0_4129,i_0_4130,i_0_4131,i_0_4132,i_0_4133,i_0_4134,i_0_4137,i_0_4139,i_0_4140,i_0_4141,i_0_4142,i_0_4146,i_0_4150,i_0_4154,i_0_4158,i_0_4162,i_0_4166,i_0_4170,i_0_4171,i_0_4172,i_0_4173,i_0_4174,i_0_4175,i_0_4178,i_0_4179,i_0_4180,i_0_4181,i_0_4185,i_0_4186,i_0_4187,i_0_4188,i_0_4189,i_0_4190,i_0_4191,i_0_3980,i_0_3981,i_0_3768,i_0_4673,i_0_4678,i_0_4681,i_0_4684,i_0_4691,i_0_4697,i_0_4711,i_0_4715,i_0_4879,i_0_5012,i_0_5028,i_0_5232,i_0_5236,i_0_5239,i_0_5255,i_0_3769,i_0_4953,i_0_5004,i_0_5211,i_0_3752,i_0_2567,i_0_2811,i_0_3364,i_0_3415,i_0_3427,i_0_3551,i_0_4356,i_0_4361,i_0_4364,i_0_2689,i_0_2772,i_0_2849,i_0_2854,i_0_2864,i_0_2873,i_0_2901,i_0_2911,i_0_2937,i_0_2961,i_0_2962,i_0_3068,i_0_3120,i_0_3121,i_0_3172,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3248,i_0_3255,i_0_3256,i_0_3258,i_0_3259,i_0_3283,i_0_3284,i_0_3288,i_0_3309,i_0_3311,i_0_3313,i_0_3315,i_0_3318,i_0_3333,i_0_3345,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3401,i_0_3412,i_0_3413,i_0_3419,i_0_3424,i_0_3425,i_0_3433,i_0_3434,i_0_3435,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3497,i_0_3532,i_0_3544,i_0_3549,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3579,i_0_3606,i_0_3611,i_0_3619,i_0_3624,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3686,i_0_3687,i_0_3688,i_0_3728,i_0_3766,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4339,i_0_4340,i_0_4352,i_0_4375,i_0_4195,i_0_4197,i_0_2752,i_0_2856,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3138,i_0_3181,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3235,i_0_3236,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3377,i_0_3394,i_0_3516,i_0_3518,i_0_3539,i_0_3598,i_0_3655,i_0_3674,i_0_3725,i_0_3726,i_0_4246,i_0_2539,i_0_2540,i_0_2541,i_0_2542,i_0_2543,i_0_2545,i_0_2546,i_0_2547,i_0_2623,i_0_2624,i_0_2630,i_0_2640,i_0_2641,i_0_2645,i_0_2646,i_0_2762,i_0_2775,i_0_2794,i_0_2795,i_0_2810,i_0_2892,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_3007,i_0_3013,i_0_3020,i_0_3023,i_0_3024,i_0_3025,i_0_3070,i_0_3074,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3191,i_0_3199,i_0_3217,i_0_3222,i_0_3224,i_0_3237,i_0_3273,i_0_3306,i_0_3307,i_0_3329,i_0_3332,i_0_3347,i_0_3376,i_0_3379,i_0_3381,i_0_3382,i_0_3383,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_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_3660,i_0_3661,i_0_3662,i_0_3663,i_0_3707,i_0_3720,i_0_3757,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_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_3352,i_0_3395,i_0_3503,i_0_3506,i_0_3507,i_0_3576,i_0_3581,i_0_2620,i_0_2774,i_0_2835,i_0_2836,i_0_2837,i_0_2918,i_0_2919,i_0_2920,i_0_2921,i_0_2932,i_0_3028,i_0_3083,i_0_3098,i_0_3099,i_0_3260,i_0_3292,i_0_3346,i_0_3411,i_0_3441,i_0_3533,i_0_3637,i_0_3640,i_0_3706,i_0_2928,i_0_3220,i_0_3221,i_0_3038,i_0_3247,i_0_4421,i_0_3625,i_0_3767,i_0_4411,i_0_2893,i_0_3089,i_0_3118,i_0_3496,i_0_3572,i_0_3623,i_0_3666,i_0_3667,i_0_3761,i_0_4219,i_0_2754,i_0_2784,i_0_3527,i_0_3596,i_0_3727,i_0_2821,i_0_2863,i_0_3012,i_0_3375,i_0_3482,i_0_4263,i_0_4264,i_0_4284,i_0_4285,i_0_3029,i_0_3104,i_0_4344,i_0_3249,i_0_4198,i_0_3014,i_0_3015,i_0_3016,i_0_3027,i_0_3119]) ).
cnf(i_0_5341,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(X2,X1,X3))) ),
inference(rename_variables,[],[i_0_3119]) ).
cnf(i_0_5342,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_5118,i_0_4218]) ).
cnf(i_0_5343,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_5118]) ).
cnf(i_0_5344,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_5118,i_0_4781,i_0_4218,i_0_2978]) ).
cnf(i_0_5345,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_5346,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_5118,i_0_4686,i_0_4781,i_0_4218,i_0_2978,i_0_3760]) ).
cnf(i_0_5347,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_4686]) ).
cnf(i_0_5348,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_5349,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_5118,i_0_5158,i_0_4686,i_0_4781,i_0_4218,i_0_2978,i_0_3760,i_0_3904]) ).
cnf(i_0_5350,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(rename_variables,[],[i_0_3904]) ).
cnf(i_0_5351,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_5118,i_0_5158,i_0_4686,i_0_4781,i_0_4631,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495]) ).
cnf(i_0_5352,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_4631]) ).
cnf(i_0_5353,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_5354,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_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4781,i_0_4631,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771]) ).
cnf(i_0_5355,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_4807]) ).
cnf(i_0_5356,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_5357,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_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933]) ).
cnf(i_0_5358,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_4631]) ).
cnf(i_0_5359,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_5360,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_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773]) ).
cnf(i_0_5361,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_4759]) ).
cnf(i_0_5362,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_5363,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_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4553,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970]) ).
cnf(i_0_5364,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_4553]) ).
cnf(i_0_5365,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_5366,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_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4553,i_0_5180,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092]) ).
cnf(i_0_5367,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_5180]) ).
cnf(i_0_5368,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_5369,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_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127]) ).
cnf(i_0_5370,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_5180]) ).
cnf(i_0_5371,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_5372,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,esk48_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_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173]) ).
cnf(i_0_5373,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk48_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_4877]) ).
cnf(i_0_5374,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_5375,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_5104,i_0_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364]) ).
cnf(i_0_5376,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_5104]) ).
cnf(i_0_5377,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_5378,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk60_2(X1,esk25_0))),
inference(scs_inference,[],[i_0_3743,i_0_5104,i_0_4759,i_0_5118,i_0_5158,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415]) ).
cnf(i_0_5379,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_5380,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_3743,i_0_5104,i_0_4759,i_0_5118,i_0_5158,i_0_3177,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356]) ).
cnf(i_0_5381,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_5382,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_5383,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_3743,i_0_5104,i_0_5376,i_0_4759,i_0_5118,i_0_5158,i_0_3177,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361]) ).
cnf(i_0_5384,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_5104]) ).
cnf(i_0_5385,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_5386,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_3743,i_0_5104,i_0_5376,i_0_4759,i_0_5118,i_0_5158,i_0_3177,i_0_5381,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854]) ).
cnf(i_0_5387,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_5388,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_3743,i_0_5104,i_0_5376,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3177,i_0_5381,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864]) ).
cnf(i_0_5389,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_5390,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_3743,i_0_5104,i_0_5376,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911]) ).
cnf(i_0_5391,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_5392,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_5393,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121]) ).
cnf(i_0_5394,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_4467]) ).
cnf(i_0_5395,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_5396,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192]) ).
cnf(i_0_5397,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_5398,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193]) ).
cnf(i_0_5399,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_5400,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215]) ).
cnf(i_0_5401,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_5402,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216]) ).
cnf(i_0_5403,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_5404,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228]) ).
cnf(i_0_5405,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_4467]) ).
cnf(i_0_5406,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_5407,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232]) ).
cnf(i_0_5408,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_5409,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,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_5410,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_4544]) ).
cnf(i_0_5411,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_5412,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,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_5413,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_5414,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_5415,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_3743,i_0_5104,i_0_5376,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,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_5416,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_5417,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_3743,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,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_5418,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_5104]) ).
cnf(i_0_5419,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_5420,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),X1)),X1) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),
inference(scs_inference,[],[i_0_3743,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318]) ).
cnf(i_0_5421,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_5422,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348]) ).
cnf(i_0_5423,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_5424,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349]) ).
cnf(i_0_5425,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_5426,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),X1)) = 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,X1)),
inference(scs_inference,[],[i_0_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350]) ).
cnf(i_0_5427,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_5428,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk60_2(X1,esk25_0)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = esk25_0,
inference(scs_inference,[],[i_0_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351]) ).
cnf(i_0_5429,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_5430,plain,
c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),esk25_0),X1)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,X1)),c_Transcendental_Oln(esk25_0)),
inference(scs_inference,[],[i_0_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356]) ).
cnf(i_0_5431,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_5432,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357]) ).
cnf(i_0_5433,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_5434,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),esk25_0)))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,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_5435,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_5436,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396]) ).
cnf(i_0_5437,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_5438,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397]) ).
cnf(i_0_5439,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_5440,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412]) ).
cnf(i_0_5441,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_5442,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_5443,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413]) ).
cnf(i_0_5444,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_5445,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_5446,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),X1)) = X1,
inference(scs_inference,[],[i_0_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419]) ).
cnf(i_0_5447,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_5448,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433]) ).
cnf(i_0_5449,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_5104]) ).
cnf(i_0_5450,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_5451,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3649,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485]) ).
cnf(i_0_5452,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_5453,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_5454,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,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_5455,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_5456,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_5457,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_3743,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,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_5458,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_5459,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,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_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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,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_5460,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_5461,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,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_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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,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_5462,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_5463,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_3743,i_0_5264,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,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_5464,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_5465,plain,
c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),esk49_1(c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,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_5466,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),esk49_1(X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ),
inference(rename_variables,[],[i_0_3532]) ).
cnf(i_0_5467,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk17_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,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_5468,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),esk17_2(X2,X1)) ),
inference(rename_variables,[],[i_0_3558]) ).
cnf(i_0_5469,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),esk10_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),X1)),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,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_5470,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),esk10_2(X2,X1)) ),
inference(rename_variables,[],[i_0_3559]) ).
cnf(i_0_5471,plain,
c_Nat__Transfer_Otsub(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))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,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))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,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_5472,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_5473,plain,
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),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,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_5474,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_5475,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,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_5476,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_5477,plain,
c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,esk25_0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,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_5478,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_5479,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,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_5480,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_5481,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,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_5482,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_5483,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,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_5484,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_5485,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,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_5486,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_3682]) ).
cnf(i_0_5487,plain,
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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,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_5488,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_3687]) ).
cnf(i_0_5489,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != esk25_0,
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,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_5490,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| X1 != X2 ),
inference(rename_variables,[],[i_0_3688]) ).
cnf(i_0_5491,plain,
c_Nat__Transfer_Otsub(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)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,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_5492,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_5493,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,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_5494,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_4662]) ).
cnf(i_0_5495,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_5496,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4768,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,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_5497,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_4768]) ).
cnf(i_0_5498,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_5499,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4768,i_0_5497,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,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_5500,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_4768]) ).
cnf(i_0_5501,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_5502,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4768,i_0_5497,i_0_5500,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,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_5503,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_4768]) ).
cnf(i_0_5504,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_5505,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,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_5506,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_4768]) ).
cnf(i_0_5507,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_5508,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),X1)),X1),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375]) ).
cnf(i_0_5509,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_5510,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk25_0)),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_4467,i_0_5394,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551]) ).
cnf(i_0_5511,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_5512,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5108,i_0_4467,i_0_5394,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625]) ).
cnf(i_0_5513,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_5514,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364]) ).
cnf(i_0_5515,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_4467]) ).
cnf(i_0_5516,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_5517,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089]) ).
cnf(i_0_5518,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_5519,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120]) ).
cnf(i_0_5520,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_5521,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172]) ).
cnf(i_0_5522,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_5523,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284]) ).
cnf(i_0_5524,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_5104]) ).
cnf(i_0_5525,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_5526,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311]) ).
cnf(i_0_5527,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_5274]) ).
cnf(i_0_5528,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_5529,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401]) ).
cnf(i_0_5530,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_5531,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424]) ).
cnf(i_0_5532,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_4553]) ).
cnf(i_0_5533,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_5534,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),X1),X2),X1)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435]) ).
cnf(i_0_5535,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_5536,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497]) ).
cnf(i_0_5537,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_5538,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544]) ).
cnf(i_0_5539,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_5540,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761]) ).
cnf(i_0_5541,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_5542,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352]) ).
cnf(i_0_5543,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_5544,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767]) ).
cnf(i_0_5545,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_5546,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873]) ).
cnf(i_0_5547,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_5548,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901]) ).
cnf(i_0_5549,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_4482]) ).
cnf(i_0_5550,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_5551,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068]) ).
cnf(i_0_5552,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_4507]) ).
cnf(i_0_5553,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_5554,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333]) ).
cnf(i_0_5555,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_5556,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_5557,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579]) ).
cnf(i_0_5558,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_5559,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623]) ).
cnf(i_0_5560,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_5561,plain,
c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_Ozero__class_Ozero(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666]) ).
cnf(i_0_5562,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_5563,plain,
c_RComplete_Onatceiling(hAPP(hAPP(c_Groups_Otimes__class_Otimes(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_Ozero__class_Ozero(tc_Nat_Onat),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667]) ).
cnf(i_0_5564,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_5565,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)),X3))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961]) ).
cnf(i_0_5566,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_5567,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_5568,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962]) ).
cnf(i_0_5569,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_5570,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_5571,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248]) ).
cnf(i_0_5572,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_5573,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434]) ).
cnf(i_0_5574,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_4553]) ).
cnf(i_0_5575,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_5576,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549]) ).
cnf(i_0_5577,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_5578,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766]) ).
cnf(i_0_5579,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_5580,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427]) ).
cnf(i_0_5581,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_5582,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255]) ).
cnf(i_0_5583,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_4698]) ).
cnf(i_0_5584,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_5585,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606]) ).
cnf(i_0_5586,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_5587,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686]) ).
cnf(i_0_5588,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1),X2))
| X2 != X1 ),
inference(rename_variables,[],[i_0_3686]) ).
cnf(i_0_5589,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309]) ).
cnf(i_0_5590,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_5274]) ).
cnf(i_0_5591,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_5592,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624]) ).
cnf(i_0_5593,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_5594,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937]) ).
cnf(i_0_5595,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_4482]) ).
cnf(i_0_5596,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_5597,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315]) ).
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),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_5180]) ).
cnf(i_0_5599,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_5600,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313]) ).
cnf(i_0_5601,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_5180]) ).
cnf(i_0_5602,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_5603,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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288]) ).
cnf(i_0_5604,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_5605,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))),esk48_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_3743,i_0_5264,i_0_4465,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118]) ).
cnf(i_0_5606,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk48_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_4877]) ).
cnf(i_0_5607,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_5608,plain,
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)))) = X1,
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195]) ).
cnf(i_0_5609,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197]) ).
cnf(i_0_5610,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_4768]) ).
cnf(i_0_5611,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219]) ).
cnf(i_0_5612,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198]) ).
cnf(i_0_5613,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209]) ).
cnf(i_0_5614,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_4467]) ).
cnf(i_0_5615,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_4653]) ).
cnf(i_0_5616,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_5617,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,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))),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_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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_4512,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843]) ).
cnf(i_0_5618,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_4512]) ).
cnf(i_0_5619,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_5620,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_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4512,i_0_5618,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017]) ).
cnf(i_0_5621,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_4512]) ).
cnf(i_0_5622,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_4544]) ).
cnf(i_0_5623,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_5624,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021]) ).
cnf(i_0_5625,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_4512]) ).
cnf(i_0_5626,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(rename_variables,[],[i_0_3021]) ).
cnf(i_0_5627,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210]) ).
cnf(i_0_5628,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X1)),
inference(rename_variables,[],[i_0_3774]) ).
cnf(i_0_5629,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_5630,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509]) ).
cnf(i_0_5631,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_4810]) ).
cnf(i_0_5632,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_4970]) ).
cnf(i_0_5633,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_5634,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513]) ).
cnf(i_0_5635,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_4606]) ).
cnf(i_0_5636,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_5637,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541]) ).
cnf(i_0_5638,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_5639,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_5640,plain,
esk65_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)),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_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),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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607]) ).
cnf(i_0_5641,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5642,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_5643,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_5644,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616]) ).
cnf(i_0_5645,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_5104]) ).
cnf(i_0_5646,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_5647,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747]) ).
cnf(i_0_5648,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_4768]) ).
cnf(i_0_5649,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_5650,plain,
c_SEQ_Osubseq(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v_ga____),esk65_3(v_ga____,v_ga____,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_ga____,v_ga____))))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269]) ).
cnf(i_0_5651,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5652,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895]) ).
cnf(i_0_5653,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_4541]) ).
cnf(i_0_5654,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_4631]) ).
cnf(i_0_5655,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_5656,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_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)))),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,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)),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4))),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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839]) ).
cnf(i_0_5657,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_5658,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4155,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588]) ).
cnf(i_0_5659,plain,
( 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)
| X2 = X4 ),
inference(rename_variables,[],[i_0_3588]) ).
cnf(i_0_5660,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4155,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840]) ).
cnf(i_0_5661,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_5662,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_4759]) ).
cnf(i_0_5663,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_5664,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4155,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906]) ).
cnf(i_0_5665,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_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)),
inference(rename_variables,[],[i_0_5125]) ).
cnf(i_0_5666,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),X3)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
| ~ class_Groups_Oordered__ab__semigroup__add(X1) ),
inference(rename_variables,[],[i_0_2906]) ).
cnf(i_0_5667,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4155,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044]) ).
cnf(i_0_5668,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_4507]) ).
cnf(i_0_5669,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_5670,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4155,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171]) ).
cnf(i_0_5671,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_5672,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_5673,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4155,i_0_4192,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827]) ).
cnf(i_0_5674,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_5675,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_5676,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903]) ).
cnf(i_0_5677,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,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))),X1)),
inference(rename_variables,[],[i_0_4943]) ).
cnf(i_0_5678,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_5679,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,X1,X1)),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758]) ).
cnf(i_0_5680,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_5681,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756]) ).
cnf(i_0_5682,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rename_variables,[],[i_0_4752]) ).
cnf(i_0_5683,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),X3)))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X4))
| ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X1) ),
inference(rename_variables,[],[i_0_2756]) ).
cnf(i_0_5684,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000]) ).
cnf(i_0_5685,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_5104]) ).
cnf(i_0_5686,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_5687,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001]) ).
cnf(i_0_5688,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_5104]) ).
cnf(i_0_5689,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_5690,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047]) ).
cnf(i_0_5691,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_4541]) ).
cnf(i_0_5692,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_4768]) ).
cnf(i_0_5693,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_5694,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060]) ).
cnf(i_0_5695,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_5696,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_4768]) ).
cnf(i_0_5697,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_5698,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),esk25_0),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),esk25_0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5583,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119]) ).
cnf(i_0_5699,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_4698]) ).
cnf(i_0_5700,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X3),X1))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk68_3(X2,X1,X3))) ),
inference(rename_variables,[],[i_0_3119]) ).
cnf(i_0_5701,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_Ominus__class_Ominus(tc_Nat_Onat,X2,X2)),X1)),esk65_3(X2,X2,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X2))))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5583,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190]) ).
cnf(i_0_5702,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_4467]) ).
cnf(i_0_5703,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_5704,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5583,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196]) ).
cnf(i_0_5705,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_5104]) ).
cnf(i_0_5706,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_5707,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5583,i_0_5116,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197]) ).
cnf(i_0_5708,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_5104]) ).
cnf(i_0_5709,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_5710,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208]) ).
cnf(i_0_5711,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_4653]) ).
cnf(i_0_5712,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_5713,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246]) ).
cnf(i_0_5714,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_5104]) ).
cnf(i_0_5715,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_5716,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_5717,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,c_RComplete_Onatfloor(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(scs_inference,[],[i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302]) ).
cnf(i_0_5718,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rename_variables,[],[i_0_4752]) ).
cnf(i_0_5719,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_5720,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321]) ).
cnf(i_0_5721,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_5722,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,esk25_0))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353]) ).
cnf(i_0_5723,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_5724,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394]) ).
cnf(i_0_5725,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_4467]) ).
cnf(i_0_5726,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_5727,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_5728,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655]) ).
cnf(i_0_5729,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_5730,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674]) ).
cnf(i_0_5731,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_5104]) ).
cnf(i_0_5732,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_5733,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_5734,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543]) ).
cnf(i_0_5735,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_4926]) ).
cnf(i_0_5736,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_5737,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4792,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624]) ).
cnf(i_0_5738,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_4792]) ).
cnf(i_0_5739,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_5740,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4792,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640]) ).
cnf(i_0_5741,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_5742,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641]) ).
cnf(i_0_5743,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_5744,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ominus__class_Ominus(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_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775]) ).
cnf(i_0_5745,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_4482]) ).
cnf(i_0_5746,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_5747,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_5748,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794]) ).
cnf(i_0_5749,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_5104]) ).
cnf(i_0_5750,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_5751,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,X1),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_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4798,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810]) ).
cnf(i_0_5752,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_4798]) ).
cnf(i_0_5753,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_5754,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4798,i_0_5752,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954]) ).
cnf(i_0_5755,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_4798]) ).
cnf(i_0_5756,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_5757,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955]) ).
cnf(i_0_5758,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_4798]) ).
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__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_5760,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956]) ).
cnf(i_0_5761,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_4467]) ).
cnf(i_0_5762,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_5763,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)),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),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998]) ).
cnf(i_0_5764,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_4507]) ).
cnf(i_0_5765,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_5766,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),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X1)))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007]) ).
cnf(i_0_5767,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_5768,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012]) ).
cnf(i_0_5769,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_4544]) ).
cnf(i_0_5770,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_5771,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_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_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013]) ).
cnf(i_0_5772,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_5773,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk48_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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070]) ).
cnf(i_0_5774,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_5775,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_4768]) ).
cnf(i_0_5776,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,esk48_2(X2,X1)),X2))
| X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(rename_variables,[],[i_0_3070]) ).
cnf(i_0_5777,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095]) ).
cnf(i_0_5778,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_5779,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096]) ).
cnf(i_0_5780,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_5781,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102]) ).
cnf(i_0_5782,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_4631]) ).
cnf(i_0_5783,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_5784,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,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))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,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))),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,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))),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_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103]) ).
cnf(i_0_5785,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_5786,plain,
c_Transcendental_Oln(hAPP(hAPP(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal),esk25_0),esk25_0)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Transcendental_Oln(esk25_0),c_Transcendental_Oln(esk25_0)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217]) ).
cnf(i_0_5787,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_5788,plain,
c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk25_0),esk25_0)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Transcendental_Oln(esk25_0)),c_Transcendental_Oln(esk25_0)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222]) ).
cnf(i_0_5789,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_5790,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237]) ).
cnf(i_0_5791,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_5792,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273]) ).
cnf(i_0_5793,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_5794,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v_ga____,X1)),hAPP(v_ga____,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329]) ).
cnf(i_0_5795,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_5796,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_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332]) ).
cnf(i_0_5797,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_4512]) ).
cnf(i_0_5798,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_5799,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,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)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446]) ).
cnf(i_0_5800,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_5801,plain,
c_Groups_Ominus__class_Ominus(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),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_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470]) ).
cnf(i_0_5802,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_5803,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_4653]) ).
cnf(i_0_5804,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_5805,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476]) ).
cnf(i_0_5806,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_4766]) ).
cnf(i_0_5807,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_5808,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514]) ).
cnf(i_0_5809,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_4768]) ).
cnf(i_0_5810,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_5811,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_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534]) ).
cnf(i_0_5812,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_5813,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,esk25_0) = esk25_0,
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561]) ).
cnf(i_0_5814,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_5815,plain,
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_RComplete_Onatfloor(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),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562]) ).
cnf(i_0_5816,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rename_variables,[],[i_0_4752]) ).
cnf(i_0_5817,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_5818,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574]) ).
cnf(i_0_5819,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_4955]) ).
cnf(i_0_5820,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_5821,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_5822,plain,
c_Transcendental_Oln(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_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626]) ).
cnf(i_0_5823,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(rename_variables,[],[i_0_4745]) ).
cnf(i_0_5824,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_5825,plain,
esk25_0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661]) ).
cnf(i_0_5826,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| X3 != X2
| ~ class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_3661]) ).
cnf(i_0_5827,plain,
esk65_3(X1,X1,c_Orderings_Oord__class_Oless(tc_Int_Oint,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720]) ).
cnf(i_0_5828,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_5829,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892]) ).
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,
( 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_5832,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_3743,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893]) ).
cnf(i_0_5833,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_5834,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(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_4452,i_0_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516]) ).
cnf(i_0_5835,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_5836,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk25_0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539]) ).
cnf(i_0_5837,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))
| X1 = X2 ),
inference(rename_variables,[],[i_0_3539]) ).
cnf(i_0_5838,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725]) ).
cnf(i_0_5839,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_5840,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539]) ).
cnf(i_0_5841,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_5842,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646]) ).
cnf(i_0_5843,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_5844,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_5845,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795]) ).
cnf(i_0_5846,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_4547]) ).
cnf(i_0_5847,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_5848,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953]) ).
cnf(i_0_5849,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_4798]) ).
cnf(i_0_5850,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_5851,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(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,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025]) ).
cnf(i_0_5852,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_5853,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_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224]) ).
cnf(i_0_5854,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_4507]) ).
cnf(i_0_5855,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_5856,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(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)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_4461,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442]) ).
cnf(i_0_5857,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_5858,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk35_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)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443]) ).
cnf(i_0_5859,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_5860,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(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)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451]) ).
cnf(i_0_5861,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_5862,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_3743,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480]) ).
cnf(i_0_5863,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_4885]) ).
cnf(i_0_5864,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_5865,plain,
c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,esk26_0) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557]) ).
cnf(i_0_5866,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_5867,plain,
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_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660]) ).
cnf(i_0_5868,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X1,X2),X3))
| X2 != X3
| ~ class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_3660]) ).
cnf(i_0_5869,plain,
esk26_0 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663]) ).
cnf(i_0_5870,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_5871,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876]) ).
cnf(i_0_5872,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_3876]) ).
cnf(i_0_5873,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878]) ).
cnf(i_0_5874,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_5875,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752]) ).
cnf(i_0_5876,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_5270]) ).
cnf(i_0_5877,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_5878,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk35_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_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518]) ).
cnf(i_0_5879,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_5880,plain,
~ class_Rings_Olinordered__idom(tc_Nat_Onat),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630]) ).
cnf(i_0_5881,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_5882,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_5883,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_5884,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645]) ).
cnf(i_0_5885,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_5886,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_5887,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(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)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023]) ).
cnf(i_0_5888,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_5889,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk25_0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024]) ).
cnf(i_0_5890,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_5891,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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X3)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347]) ).
cnf(i_0_5892,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_5893,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537]) ).
cnf(i_0_5894,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_5895,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_5896,plain,
X1 = esk17_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(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),X2),X3)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589]) ).
cnf(i_0_5897,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_5898,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != esk35_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_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662]) ).
cnf(i_0_5899,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_5900,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877]) ).
cnf(i_0_5901,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_5902,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_3877]) ).
cnf(i_0_5903,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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(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_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377]) ).
cnf(i_0_5904,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_5108]) ).
cnf(i_0_5905,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_5906,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_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902]) ).
cnf(i_0_5907,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_5908,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk34_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)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450]) ).
cnf(i_0_5909,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_5910,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk35_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)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482]) ).
cnf(i_0_5911,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_5912,plain,
X1 = esk10_2(hAPP(hAPP(c_Groups_Oplus__class_Oplus(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),X2),X3)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591]) ).
cnf(i_0_5913,plain,
( 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)
| X3 = X4 ),
inference(rename_variables,[],[i_0_3591]) ).
cnf(i_0_5914,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618]) ).
cnf(i_0_5915,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_5916,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_5917,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542]) ).
cnf(i_0_5918,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_5919,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_5920,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898]) ).
cnf(i_0_5921,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_4556]) ).
cnf(i_0_5922,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_4759]) ).
cnf(i_0_5923,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_5924,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904]) ).
cnf(i_0_5925,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_5926,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376]) ).
cnf(i_0_5927,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_5928,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_5929,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547]) ).
cnf(i_0_5930,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X1)),
inference(rename_variables,[],[i_0_3773]) ).
cnf(i_0_5931,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_5932,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596]) ).
cnf(i_0_5933,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_5934,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726]) ).
cnf(i_0_5935,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_5936,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727]) ).
cnf(i_0_5937,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_5938,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598]) ).
cnf(i_0_5939,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_5940,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_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481]) ).
cnf(i_0_5941,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_5942,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_5943,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_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))),X1))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375]) ).
cnf(i_0_5944,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_4467]) ).
cnf(i_0_5945,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_5946,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196]) ).
cnf(i_0_5947,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_4768]) ).
cnf(i_0_5948,plain,
tc_RealDef_Oreal != tc_Nat_Onat,
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256]) ).
cnf(i_0_5949,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257]) ).
cnf(i_0_5950,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5951,plain,
class_Rings_Oordered__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281]) ).
cnf(i_0_5952,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5953,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311]) ).
cnf(i_0_5954,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5955,plain,
class_Rings_Omult__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4094,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312]) ).
cnf(i_0_5956,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5957,plain,
class_Rings_Ono__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4087,i_0_4094,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313]) ).
cnf(i_0_5958,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5959,plain,
class_Rings_Ozero__neq__one(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4087,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314]) ).
cnf(i_0_5960,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5961,plain,
class_Rings_Oring__no__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315]) ).
cnf(i_0_5962,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5963,plain,
class_Rings_Oring__1__no__zero__divisors(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316]) ).
cnf(i_0_5964,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5965,plain,
class_Groups_Ocomm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317]) ).
cnf(i_0_5966,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5967,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,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_5968,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5969,plain,
class_Groups_Omonoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,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_5970,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5971,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,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_5972,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5973,plain,
class_Groups_Ozero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,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_5974,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5975,plain,
class_Groups_Osgn__if(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,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_5976,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5977,plain,
class_Rings_Ocomm__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_3985,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,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_5978,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5979,plain,
class_Rings_Ocomm__semiring__0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_3985,i_0_3988,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,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_5980,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5981,plain,
class_Groups_Ocancel__comm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_3985,i_0_3988,i_0_3992,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,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_5982,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5983,plain,
class_Rings_Oidom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5984,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5985,plain,
class_Groups_Oone(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_5984,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5986,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5987,plain,
class_Groups_Oordered__ab__group__add__abs(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Int_Oint),esk65_3(tc_Int_Oint,tc_Int_Oint,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_5984,i_0_5986,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5988,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5989,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5990,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5991,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_5992,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5993,plain,
class_Rings_Olinordered__ring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Int_Oint),esk65_3(tc_Int_Oint,tc_Int_Oint,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249]) ).
cnf(i_0_5994,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5995,plain,
class_Rings_Olinordered__ring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,i_0_5982,i_0_5984,i_0_5986,i_0_5988,i_0_5990,i_0_5992,i_0_5994,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250]) ).
cnf(i_0_5996,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5997,plain,
class_Rings_Olinordered__semiring__1__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251]) ).
cnf(i_0_5998,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_5999,plain,
class_Rings_Olinordered__semiring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4043,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252]) ).
cnf(i_0_6000,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6001,plain,
class_Rings_Olinordered__semidom(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4043,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253]) ).
cnf(i_0_6002,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6003,plain,
class_Orderings_Oorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk65_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4040,i_0_4043,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254]) ).
cnf(i_0_6004,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6005,plain,
class_Rings_Ocomm__ring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4040,i_0_4043,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255]) ).
cnf(i_0_6006,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6007,plain,
class_Rings_Oring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258]) ).
cnf(i_0_6008,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6009,plain,
class_Rings_Osemiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259]) ).
cnf(i_0_6010,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6011,plain,
~ epred1_3(c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Complex_OIm,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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260]) ).
cnf(i_0_6012,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_6013,plain,
~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Complex_OIm,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),X2),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261]) ).
cnf(i_0_6014,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_6015,plain,
~ epred1_3(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)),X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262]) ).
cnf(i_0_6016,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_4458]) ).
cnf(i_0_6017,plain,
class_Fields_Olinordered__field(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263]) ).
cnf(i_0_6018,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6019,plain,
class_Fields_Olinordered__field__inverse__zero(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264]) ).
cnf(i_0_6020,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6021,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265]) ).
cnf(i_0_6022,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6023,plain,
class_Rings_Olinordered__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_6022,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266]) ).
cnf(i_0_6024,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6025,plain,
class_Rings_Olinordered__semiring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_6022,i_0_6024,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4053,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267]) ).
cnf(i_0_6026,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6027,plain,
class_Rings_Oordered__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4053,i_0_4059,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268]) ).
cnf(i_0_6028,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6029,plain,
class_Orderings_Oord(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk65_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4053,i_0_4059,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270]) ).
cnf(i_0_6030,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6031,plain,
class_Groups_Oordered__ab__semigroup__add__imp__le(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4053,i_0_4059,i_0_4069,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271]) ).
cnf(i_0_6032,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6033,plain,
class_Groups_Omonoid__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_6018,i_0_6020,i_0_6022,i_0_6024,i_0_6026,i_0_6028,i_0_6030,i_0_6032,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4053,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272]) ).
cnf(i_0_6034,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6035,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4053,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4117,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273]) ).
cnf(i_0_6036,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6037,plain,
class_Rings_Olinordered__comm__semiring__strict(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4117,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274]) ).
cnf(i_0_6038,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6039,plain,
class_Rings_Oordered__comm__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4117,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275]) ).
cnf(i_0_6040,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6041,plain,
class_Groups_Oordered__cancel__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4117,i_0_4120,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276]) ).
cnf(i_0_6042,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6043,plain,
class_Groups_Oordered__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277]) ).
cnf(i_0_6044,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6045,plain,
class_Rings_Ocomm__semiring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278]) ).
cnf(i_0_6046,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6047,plain,
class_Groups_Oordered__ab__group__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Int_Oint),esk65_3(tc_Int_Oint,tc_Int_Oint,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279]) ).
cnf(i_0_6048,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6049,plain,
class_Groups_Olinordered__ab__group__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Int_Oint),esk65_3(tc_Int_Oint,tc_Int_Oint,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280]) ).
cnf(i_0_6050,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6051,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284]) ).
cnf(i_0_6052,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_6053,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284,i_0_4285]) ).
cnf(i_0_6054,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_6055,plain,
class_Rings_Oordered__cancel__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284,i_0_4285,i_0_4286]) ).
cnf(i_0_6056,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6057,plain,
class_Groups_Oordered__comm__monoid__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284,i_0_4285,i_0_4286,i_0_4287]) ).
cnf(i_0_6058,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6059,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288]) ).
cnf(i_0_6060,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6061,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290]) ).
cnf(i_0_6062,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6063,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,i_0_4284,i_0_4285,i_0_4286,i_0_4287,i_0_4288,i_0_4290,i_0_4291]) ).
cnf(i_0_6064,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6065,plain,
class_Groups_Ocomm__monoid__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6066,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6067,plain,
class_Rings_Ocomm__semiring(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6068,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6069,plain,
class_Rings_Oordered__ring__abs(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_RealDef_Oreal),esk65_3(tc_RealDef_Oreal,tc_RealDef_Oreal,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_RealDef_Oreal,tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6070,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6071,plain,
class_Rings_Oring__1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Complex_Ocomplex),esk65_3(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Complex_Ocomplex))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4015,i_0_4018,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6072,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6073,plain,
class_Divides_Osemiring__div(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6074,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6075,plain,
class_Power_Opower(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6076,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6077,plain,
class_Groups_Oab__semigroup__mult(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,i_0_6064,i_0_6066,i_0_6068,i_0_6070,i_0_6072,i_0_6074,i_0_6076,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6078,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6079,plain,
class_Groups_Oab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6080,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6081,plain,
class_Orderings_Opreorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),esk65_3(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6082,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6083,plain,
class_Orderings_Olinorder(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6084,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6085,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))),esk65_3(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)),c_Orderings_Oord__class_Oless(tc_Int_Oint,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)),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6086,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6087,plain,
class_Rings_Osemiring__0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6088,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6089,plain,
class_Groups_Ocancel__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6090,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6091,plain,
class_Groups_Ocancel__ab__semigroup__add(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),tc_Nat_Onat),esk65_3(tc_Nat_Onat,tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_6092,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(rename_variables,[],[i_0_4725]) ).
cnf(i_0_6093,plain,
hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),esk25_0) != 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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246]) ).
cnf(i_0_6094,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk25_0)),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk25_0))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929]) ).
cnf(i_0_6095,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),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_2929]) ).
cnf(i_0_6096,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931]) ).
cnf(i_0_6097,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_4512]) ).
cnf(i_0_6098,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_4467]) ).
cnf(i_0_6099,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_6100,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_5635,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143]) ).
cnf(i_0_6101,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_4541]) ).
cnf(i_0_6102,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_6103,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_4606]) ).
cnf(i_0_6104,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_6105,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_5635,i_0_6103,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211]) ).
cnf(i_0_6106,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_4541]) ).
cnf(i_0_6107,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_4606]) ).
cnf(i_0_6108,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_4458]) ).
cnf(i_0_6109,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_6110,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)),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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472]) ).
cnf(i_0_6111,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_5104]) ).
cnf(i_0_6112,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_4606]) ).
cnf(i_0_6113,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_6114,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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479]) ).
cnf(i_0_6115,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_5104]) ).
cnf(i_0_6116,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_4606]) ).
cnf(i_0_6117,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_6118,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064]) ).
cnf(i_0_6119,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_5276]) ).
cnf(i_0_6120,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_4798]) ).
cnf(i_0_6121,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_6122,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082]) ).
cnf(i_0_6123,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_4544]) ).
cnf(i_0_6124,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_6125,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691]) ).
cnf(i_0_6126,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_4815]) ).
cnf(i_0_6127,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_6128,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_4759]) ).
cnf(i_0_6129,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_6130,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),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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838]) ).
cnf(i_0_6131,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_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1)),
inference(rename_variables,[],[i_0_5125]) ).
cnf(i_0_6132,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rename_variables,[],[i_0_4752]) ).
cnf(i_0_6133,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_6134,plain,
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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586]) ).
cnf(i_0_6135,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_5318]) ).
cnf(i_0_6136,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_3586]) ).
cnf(i_0_6137,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),esk25_0),X2))),X2)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078]) ).
cnf(i_0_6138,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_5101]) ).
cnf(i_0_6139,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_3078]) ).
cnf(i_0_6140,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),esk25_0),X2))),X2)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080]) ).
cnf(i_0_6141,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_5101]) ).
cnf(i_0_6142,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_3080]) ).
cnf(i_0_6143,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),esk25_0) != 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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276]) ).
cnf(i_0_6144,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_6145,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),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),esk25_0),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277]) ).
cnf(i_0_6146,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_6147,plain,
c_Groups_Ominus__class_Ominus(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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))) != c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278]) ).
cnf(i_0_6148,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_6149,plain,
c_Groups_Ominus__class_Ominus(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) != c_Groups_Ominus__class_Ominus(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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279]) ).
cnf(i_0_6150,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_6151,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk25_0),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338]) ).
cnf(i_0_6152,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_6153,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340]) ).
cnf(i_0_6154,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_5108]) ).
cnf(i_0_6155,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_6156,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,esk21_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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352]) ).
cnf(i_0_6157,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_5104]) ).
cnf(i_0_6158,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_6159,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_5270]) ).
cnf(i_0_6160,plain,
( hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),esk21_2(X3,X1)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(rename_variables,[],[i_0_3352]) ).
cnf(i_0_6161,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,X1,X1))),c_Groups_Oone__class_Oone(tc_Int_Oint))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620]) ).
cnf(i_0_6162,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_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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,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_4631]) ).
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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,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_4541]) ).
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_5270]) ).
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,
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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083]) ).
cnf(i_0_6172,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_6173,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),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260]) ).
cnf(i_0_6174,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_6175,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_4759]) ).
cnf(i_0_6176,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_4609]) ).
cnf(i_0_6177,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_6178,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292]) ).
cnf(i_0_6179,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_4759]) ).
cnf(i_0_6180,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_4834]) ).
cnf(i_0_6181,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_6182,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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411]) ).
cnf(i_0_6183,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_5318]) ).
cnf(i_0_6184,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_4467]) ).
cnf(i_0_6185,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_6186,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))),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533]) ).
cnf(i_0_6187,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_6188,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_6189,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_6190,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_6191,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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079]) ).
cnf(i_0_6192,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_3079]) ).
cnf(i_0_6193,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))),esk25_0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335]) ).
cnf(i_0_6194,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_5101]) ).
cnf(i_0_6195,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_6196,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk25_0),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_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337]) ).
cnf(i_0_6197,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_6198,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))),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_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918]) ).
cnf(i_0_6199,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_2918]) ).
cnf(i_0_6200,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))),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,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098]) ).
cnf(i_0_6201,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_6202,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(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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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(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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346]) ).
cnf(i_0_6203,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_6204,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_6205,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637]) ).
cnf(i_0_6206,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_6207,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_6208,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_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640]) ).
cnf(i_0_6209,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_6210,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_4768]) ).
cnf(i_0_6211,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_6212,plain,
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))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507]) ).
cnf(i_0_6213,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(rename_variables,[],[i_0_4749]) ).
cnf(i_0_6214,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_6215,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))),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_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919]) ).
cnf(i_0_6216,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_2919]) ).
cnf(i_0_6217,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))),esk26_0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921]) ).
cnf(i_0_6218,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_6219,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))),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,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099]) ).
cnf(i_0_6220,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_6221,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))),esk25_0)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334]) ).
cnf(i_0_6222,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_5101]) ).
cnf(i_0_6223,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_6224,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)),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581]) ).
cnf(i_0_6225,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_3581]) ).
cnf(i_0_6226,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836]) ).
cnf(i_0_6227,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_5104]) ).
cnf(i_0_6228,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_6229,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),esk26_0),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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920]) ).
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_2920]) ).
cnf(i_0_6231,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932]) ).
cnf(i_0_6232,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_6233,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_6234,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104]) ).
cnf(i_0_6235,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_6236,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395]) ).
cnf(i_0_6237,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_5104]) ).
cnf(i_0_6238,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_6239,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339]) ).
cnf(i_0_6240,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_6241,plain,
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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503]) ).
cnf(i_0_6242,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_6243,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_3503]) ).
cnf(i_0_6244,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,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576]) ).
cnf(i_0_6245,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(rename_variables,[],[i_0_4988]) ).
cnf(i_0_6246,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_6247,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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336]) ).
cnf(i_0_6248,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_5101]) ).
cnf(i_0_6249,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_6250,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),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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336,i_0_2837]) ).
cnf(i_0_6251,plain,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,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))),X1)),
inference(rename_variables,[],[i_0_4943]) ).
cnf(i_0_6252,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rename_variables,[],[i_0_4752]) ).
cnf(i_0_6253,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_6254,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_6127,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336,i_0_2837,i_0_3441]) ).
cnf(i_0_6255,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_6256,plain,
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X2),X3))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X1,X3),X2))
| X3 = X2
| ~ class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_3441]) ).
cnf(i_0_6257,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))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),c_RealDef_Oreal(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,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_6252,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_6127,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336,i_0_2837,i_0_3441,i_0_3341]) ).
cnf(i_0_6258,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,c_RComplete_Onatfloor(X1))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
inference(rename_variables,[],[i_0_4752]) ).
cnf(i_0_6259,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_6260,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_6252,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_4996,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_6127,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336,i_0_2837,i_0_3441,i_0_3341,i_0_3220]) ).
cnf(i_0_6261,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_4465]) ).
cnf(i_0_6262,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_6263,plain,
hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),esk26_0),esk26_0) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_6252,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_4996,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_6127,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336,i_0_2837,i_0_3441,i_0_3341,i_0_3220,i_0_3221]) ).
cnf(i_0_6264,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_6265,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_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_6252,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_4996,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3831,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_6127,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_2906,i_0_3044,i_0_3171,i_0_3827,i_0_2903,i_0_2758,i_0_2756,i_0_3000,i_0_3001,i_0_3047,i_0_3060,i_0_3119,i_0_3190,i_0_3196,i_0_3197,i_0_3208,i_0_3246,i_0_3302,i_0_3321,i_0_3353,i_0_3394,i_0_3655,i_0_3674,i_0_2543,i_0_2624,i_0_2640,i_0_2641,i_0_2775,i_0_2794,i_0_2810,i_0_2954,i_0_2955,i_0_2956,i_0_2998,i_0_3007,i_0_3012,i_0_3013,i_0_3070,i_0_3095,i_0_3096,i_0_3102,i_0_3103,i_0_3217,i_0_3222,i_0_3237,i_0_3273,i_0_3329,i_0_3332,i_0_3446,i_0_3470,i_0_3476,i_0_3514,i_0_3534,i_0_3561,i_0_3562,i_0_3574,i_0_3626,i_0_3661,i_0_3720,i_0_3892,i_0_3893,i_0_3516,i_0_3539,i_0_3725,i_0_2539,i_0_2646,i_0_2795,i_0_2953,i_0_3025,i_0_3224,i_0_3442,i_0_3443,i_0_3451,i_0_3480,i_0_3557,i_0_3660,i_0_3663,i_0_3876,i_0_3878,i_0_2752,i_0_3518,i_0_2630,i_0_2645,i_0_3023,i_0_3024,i_0_3347,i_0_3537,i_0_3589,i_0_3662,i_0_3877,i_0_3377,i_0_2902,i_0_3450,i_0_3482,i_0_3591,i_0_3618,i_0_2542,i_0_2898,i_0_2904,i_0_3376,i_0_2547,i_0_3596,i_0_3726,i_0_3727,i_0_3598,i_0_3481,i_0_3375,i_0_4196,i_0_4256,i_0_4257,i_0_4281,i_0_4311,i_0_4312,i_0_4313,i_0_4314,i_0_4315,i_0_4316,i_0_4317,i_0_4318,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_4249,i_0_4250,i_0_4251,i_0_4252,i_0_4253,i_0_4254,i_0_4255,i_0_4258,i_0_4259,i_0_4260,i_0_4261,i_0_4262,i_0_4263,i_0_4264,i_0_4265,i_0_4266,i_0_4267,i_0_4268,i_0_4270,i_0_4271,i_0_4272,i_0_4273,i_0_4274,i_0_4275,i_0_4276,i_0_4277,i_0_4278,i_0_4279,i_0_4280,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_4246,i_0_2929,i_0_2931,i_0_3143,i_0_3211,i_0_3472,i_0_3479,i_0_3064,i_0_3082,i_0_2691,i_0_2838,i_0_3586,i_0_3078,i_0_3080,i_0_3276,i_0_3277,i_0_3278,i_0_3279,i_0_3338,i_0_3340,i_0_3352,i_0_2620,i_0_2774,i_0_2835,i_0_3083,i_0_3260,i_0_3292,i_0_3411,i_0_3533,i_0_3079,i_0_3335,i_0_3337,i_0_2918,i_0_3098,i_0_3346,i_0_3637,i_0_3640,i_0_3507,i_0_2919,i_0_2921,i_0_3099,i_0_3334,i_0_3581,i_0_2836,i_0_2920,i_0_2932,i_0_3104,i_0_3395,i_0_3339,i_0_3503,i_0_3576,i_0_3336,i_0_2837,i_0_3441,i_0_3341,i_0_3220,i_0_3221,i_0_3247]) ).
cnf(i_0_6266,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_6267,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_6268,plain,
$false,
inference(scs_inference,[],[i_0_4452,i_0_3743,i_0_3742,i_0_5266,i_0_4756,i_0_4461,i_0_4734,i_0_4736,i_0_5264,i_0_4465,i_0_4725,i_0_5641,i_0_5651,i_0_5950,i_0_5952,i_0_5954,i_0_5956,i_0_5958,i_0_5960,i_0_5962,i_0_5964,i_0_5966,i_0_5968,i_0_5970,i_0_5972,i_0_5974,i_0_5976,i_0_5978,i_0_5980,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_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_6038,i_0_6040,i_0_6042,i_0_6044,i_0_6046,i_0_6048,i_0_6050,i_0_6056,i_0_6058,i_0_6060,i_0_6062,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_6082,i_0_6084,i_0_6086,i_0_6088,i_0_6090,i_0_4766,i_0_4770,i_0_5318,i_0_6135,i_0_4749,i_0_5104,i_0_5376,i_0_5384,i_0_5418,i_0_5449,i_0_5524,i_0_5645,i_0_5685,i_0_5688,i_0_5705,i_0_5708,i_0_5714,i_0_5731,i_0_5749,i_0_6111,i_0_6115,i_0_6157,i_0_6227,i_0_5101,i_0_6138,i_0_6141,i_0_6194,i_0_6222,i_0_5108,i_0_5904,i_0_5111,i_0_5161,i_0_4745,i_0_4738,i_0_5125,i_0_5665,i_0_4467,i_0_5394,i_0_5405,i_0_5515,i_0_5614,i_0_5702,i_0_5725,i_0_5761,i_0_5944,i_0_6098,i_0_4768,i_0_5497,i_0_5500,i_0_5503,i_0_5506,i_0_5610,i_0_5648,i_0_5692,i_0_5696,i_0_5775,i_0_5809,i_0_5947,i_0_4747,i_0_4763,i_0_4458,i_0_6016,i_0_4759,i_0_5361,i_0_5662,i_0_5922,i_0_6128,i_0_6175,i_0_4752,i_0_5682,i_0_5718,i_0_5816,i_0_6132,i_0_6252,i_0_4717,i_0_4698,i_0_5583,i_0_5137,i_0_5116,i_0_4701,i_0_5147,i_0_5268,i_0_5139,i_0_5118,i_0_5122,i_0_4754,i_0_5158,i_0_2819,i_0_5774,i_0_5881,i_0_3437,i_0_5391,i_0_5413,i_0_5441,i_0_5444,i_0_5661,i_0_3011,i_0_3825,i_0_5638,i_0_5674,i_0_5715,i_0_5726,i_0_5732,i_0_5830,i_0_5901,i_0_6012,i_0_6014,i_0_6052,i_0_6054,i_0_3735,i_0_5843,i_0_3458,i_0_5566,i_0_5569,i_0_5802,i_0_3177,i_0_5381,i_0_5695,i_0_5927,i_0_6158,i_0_4387,i_0_4358,i_0_3721,i_0_3722,i_0_4672,i_0_5325,i_0_5276,i_0_5041,i_0_4686,i_0_4609,i_0_4653,i_0_5615,i_0_5711,i_0_4810,i_0_4807,i_0_5308,i_0_4888,i_0_5039,i_0_4795,i_0_4510,i_0_4891,i_0_4877,i_0_5373,i_0_4550,i_0_4553,i_0_5364,i_0_5532,i_0_4547,i_0_5846,i_0_5180,i_0_5367,i_0_5370,i_0_5598,i_0_4834,i_0_4530,i_0_4885,i_0_5274,i_0_5527,i_0_4860,i_0_4541,i_0_5653,i_0_5691,i_0_6101,i_0_6106,i_0_4544,i_0_5410,i_0_5622,i_0_5769,i_0_4556,i_0_4943,i_0_5677,i_0_4798,i_0_5752,i_0_5755,i_0_5758,i_0_5849,i_0_4606,i_0_5635,i_0_6103,i_0_6107,i_0_6112,i_0_4512,i_0_5618,i_0_5621,i_0_5625,i_0_5797,i_0_6097,i_0_4662,i_0_4781,i_0_4773,i_0_4863,i_0_4564,i_0_4482,i_0_5549,i_0_5595,i_0_5032,i_0_4792,i_0_5738,i_0_4631,i_0_5352,i_0_5358,i_0_5654,i_0_5782,i_0_4507,i_0_5552,i_0_5668,i_0_5764,i_0_4784,i_0_5270,i_0_5876,i_0_6159,i_0_4881,i_0_4815,i_0_4955,i_0_5189,i_0_5186,i_0_5191,i_0_4926,i_0_4857,i_0_4970,i_0_4996,i_0_5030,i_0_4988,i_0_4649,i_0_5213,i_0_4062,i_0_3831,i_0_3848,i_0_3519,i_0_3226,i_0_2891,i_0_3746,i_0_3832,i_0_3849,i_0_3696,i_0_3773,i_0_3774,i_0_3739,i_0_5746,i_0_5894,i_0_6102,i_0_6127,i_0_3649,i_0_5452,i_0_5455,i_0_3457,i_0_3010,i_0_4372,i_0_6162,i_0_3673,i_0_5882,i_0_5915,i_0_3414,i_0_4123,i_0_4061,i_0_4124,i_0_5097,i_0_5085,i_0_5084,i_0_5082,i_0_5065,i_0_5051,i_0_5050,i_0_5094,i_0_5069,i_0_5057,i_0_3985,i_0_3988,i_0_3992,i_0_3996,i_0_4013,i_0_4015,i_0_4018,i_0_4021,i_0_4032,i_0_4036,i_0_4040,i_0_4043,i_0_4047,i_0_4050,i_0_4053,i_0_4056,i_0_4059,i_0_4065,i_0_4069,i_0_4071,i_0_4075,i_0_4079,i_0_4083,i_0_4087,i_0_4091,i_0_4094,i_0_4100,i_0_4106,i_0_4108,i_0_4112,i_0_4117,i_0_4120,i_0_4135,i_0_4136,i_0_4138,i_0_4143,i_0_4147,i_0_4151,i_0_4155,i_0_4159,i_0_4163,i_0_4176,i_0_4182,i_0_4192,i_0_3998,i_0_3999,i_0_4066,i_0_4116,i_0_4127,i_0_4132,i_0_4139,i_0_4140,i_0_4179,i_0_3768,i_0_4045,i_0_4067,i_0_4126,i_0_4129,i_0_4131,i_0_4137,i_0_4178,i_0_4186,i_0_4009,i_0_4128,i_0_4130,i_0_4133,i_0_4171,i_0_4172,i_0_4189,i_0_4190,i_0_4026,i_0_4027,i_0_4020,i_0_4180,i_0_4188,i_0_4173,i_0_4218,i_0_2978,i_0_3760,i_0_3904,i_0_3495,i_0_3771,i_0_2933,i_0_2773,i_0_2970,i_0_3092,i_0_3127,i_0_3173,i_0_3364,i_0_3415,i_0_4356,i_0_4361,i_0_2854,i_0_2864,i_0_2911,i_0_3121,i_0_3192,i_0_3193,i_0_3215,i_0_3216,i_0_3228,i_0_3232,i_0_3249,i_0_3258,i_0_3259,i_0_3283,i_0_3318,i_0_3348,i_0_3349,i_0_3350,i_0_3351,i_0_3356,i_0_3357,i_0_3359,i_0_3396,i_0_3397,i_0_3412,i_0_3413,i_0_3419,i_0_3433,i_0_3485,i_0_3486,i_0_3489,i_0_3491,i_0_3492,i_0_3496,i_0_3532,i_0_3558,i_0_3559,i_0_3566,i_0_3577,i_0_3611,i_0_3619,i_0_3633,i_0_3670,i_0_3678,i_0_3682,i_0_3687,i_0_3688,i_0_3728,i_0_3851,i_0_3886,i_0_3887,i_0_3888,i_0_3889,i_0_4375,i_0_3551,i_0_3625,i_0_4364,i_0_3089,i_0_3120,i_0_3172,i_0_3284,i_0_3311,i_0_3401,i_0_3424,i_0_3435,i_0_3497,i_0_3544,i_0_3761,i_0_4352,i_0_3767,i_0_2873,i_0_2901,i_0_3068,i_0_3333,i_0_3579,i_0_3623,i_0_3666,i_0_3667,i_0_2961,i_0_2962,i_0_3248,i_0_3434,i_0_3549,i_0_3766,i_0_3427,i_0_3255,i_0_3606,i_0_3686,i_0_3309,i_0_3624,i_0_2937,i_0_3315,i_0_3313,i_0_3288,i_0_3118,i_0_4195,i_0_4197,i_0_4219,i_0_4198,i_0_3209,i_0_2843,i_0_3017,i_0_3021,i_0_3210,i_0_3509,i_0_3513,i_0_3541,i_0_3607,i_0_3616,i_0_3747,i_0_4269,i_0_2895,i_0_2839,i_0_3588,i_0_2840,i_0_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[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW207+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 06:26:21 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 8.92/5.86 % Version : CSE_E---1.7
% 8.92/5.86 % Problem : theBenchmark.p
% 8.92/5.86 % SZS status Theorem for theBenchmark.p
% 8.92/5.86 % SZS output start CNFRefutation
% See solution above
% 71.41/59.63 % Total time : 5.516s
%------------------------------------------------------------------------------