%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG375-1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:08:34 PM UTC 2026
% Result : Unsatisfiable 5.81s 5.75s
% Output : CNFRefutation 15.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_1056)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_tan__monotone_H_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__monotone_H_1) ).
cnf(cls_tan__def_0,axiom,
c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__def_0) ).
cnf(cls_sin__cos__eq_0,axiom,
c_Transcendental_Osin(X1) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__cos__eq_0) ).
cnf(cls_tan__monotone_H_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__monotone_H_0) ).
cnf(cls_add__tan__eq_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__tan__eq_0) ).
cnf(cls_tan__monotone_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__monotone_0) ).
cnf(cls_tan__periodic_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__periodic_0) ).
cnf(cls_sin__diff_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__diff_0) ).
cnf(cls_sin__add_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__add_0) ).
cnf(cls_sin__diff2_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__diff2_0) ).
cnf(cls_tan__periodic__n_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__periodic__n_0) ).
cnf(cls_cos__diff_0,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__diff_0) ).
cnf(cls_cos__diff2_0,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__diff2_0) ).
cnf(cls_cos__add_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__add_0) ).
cnf(cls_tan__minus_0,axiom,
c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__minus_0) ).
cnf(cls_sin__monotone__2pi_H_0,axiom,
( c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__monotone__2pi_H_0) ).
cnf(cls_sin__double_0,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__double_0) ).
cnf(cls_tan__periodic__pi_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__periodic__pi_0) ).
cnf(cls_tan__less__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__less__zero_0) ).
cnf(cls_tan__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__gt__zero_0) ).
cnf(cls_tan__60_0,axiom,
c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__60_0) ).
cnf(cls_sin__periodic_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic_0) ).
cnf(cls_sin__periodic__pi2_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi2_0) ).
cnf(cls_sin__periodic__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__periodic__pi_0) ).
cnf(cls_sin__less__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__less__zero_0) ).
cnf(cls_sin__minus_0,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__minus_0) ).
cnf(cls_sin__gt__zero2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__gt__zero2_0) ).
cnf(cls_minus__sin__cos__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__sin__cos__eq_0) ).
cnf(cls_cos__sin__eq_0,axiom,
c_Transcendental_Ocos(X1) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__sin__eq_0) ).
cnf(cls_sin__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__gt__zero_0) ).
cnf(cls_sin__45_0,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__45_0) ).
cnf(cls_sin__gt__zero__pi_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__gt__zero__pi_0) ).
cnf(cls_sin__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__ge__zero_0) ).
cnf(cls_sin__60_0,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__60_0) ).
cnf(cls_tan__zero_0,axiom,
c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__zero_0) ).
cnf(cls_tan__pi_0,axiom,
c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tan__pi_0) ).
cnf(cls_sin__two__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__two__pi_0) ).
cnf(cls_sin__zero_0,axiom,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__zero_0) ).
cnf(cls_sin__pi_0,axiom,
c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__pi_0) ).
cnf(cls_add__nonneg__eq__0__iff_2,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_2) ).
cnf(cls_that_2,axiom,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_CHAINED_1,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
cnf(cls_lemma__MVT_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X1,X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma__MVT_0) ).
cnf(cls_abs__sum__triangle__ineq_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__sum__triangle__ineq_0) ).
cnf(cls_e2_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_e2_0) ).
cnf(cls_mult_Oprod__diff__prod_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),X5,X1),X1),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Oprod__diff__prod_0) ).
cnf(cls_that_0,axiom,
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_that_1,axiom,
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_1) ).
cnf(cls_poly__cont_1,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X4,X1,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__cont_1) ).
cnf(cls_abs__diff__triangle__ineq_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__diff__triangle__ineq_0) ).
cnf(cls_norm__diff__triangle__ineq_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1),X1),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X4,X1),X1),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__diff__triangle__ineq_0) ).
cnf(cls_DERIV__mult__lemma_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X6,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X5,X1),X6,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X4,X1),X6,X1),X5,X1),X1)
| ~ class_RealVector_Oreal__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DERIV__mult__lemma_0) ).
cnf(cls_less__add__iff1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff1_1) ).
cnf(cls_le__add__iff1_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff1_1) ).
cnf(cls_less__add__iff2_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff2_1) ).
cnf(cls_le__add__iff2_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff2_1) ).
cnf(cls_less__add__iff1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff1_0) ).
cnf(cls_le__add__iff1_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff1_0) ).
cnf(cls_less__add__iff2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff2_0) ).
cnf(cls_le__add__iff2_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff2_0) ).
cnf(cls_e_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_e_0) ).
cnf(cls_cos__gt__zero__pi_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__gt__zero__pi_0) ).
cnf(cls_cos__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__ge__zero_0) ).
cnf(cls_real__le__add__half__cancel_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__add__half__cancel_0) ).
cnf(cls_real__sqrt__mult__self__sum__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__mult__self__sum__ge__zero_0) ).
cnf(cls_le__real__sqrt__sumsq_0,axiom,
c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__real__sqrt__sumsq_0) ).
cnf(cls_sum__squares__gt__zero__iff_0,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_0) ).
cnf(cls_eq__add__iff2_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff2_1) ).
cnf(cls_eq__add__iff1_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff1_1) ).
cnf(cls_divide__less__eq__number__of1_8,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_8) ).
cnf(cls_divide__le__eq__number__of1_8,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_8) ).
cnf(cls_less__divide__eq__number__of1_8,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_8) ).
cnf(cls_le__divide__eq__number__of1_8,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_8) ).
cnf(cls_divide__less__eq__number__of_9,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_9) ).
cnf(cls_divide__le__eq__number__of_9,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_9) ).
cnf(cls_less__divide__eq__number__of_9,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_9) ).
cnf(cls_le__divide__eq__number__of_9,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_9) ).
cnf(cls_divide__less__eq__number__of1_9,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_9) ).
cnf(cls_divide__le__eq__number__of1_9,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_9) ).
cnf(cls_less__divide__eq__number__of1_9,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_9) ).
cnf(cls_le__divide__eq__number__of1_9,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_9) ).
cnf(cls_diff__frac__eq_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| X5 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__frac__eq_0) ).
cnf(cls_add__frac__eq_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| X5 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__frac__eq_0) ).
cnf(cls_divide__less__eq__number__of_8,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_8) ).
cnf(cls_divide__le__eq__number__of_8,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_8) ).
cnf(cls_less__divide__eq__number__of_8,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_8) ).
cnf(cls_le__divide__eq__number__of_8,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_8) ).
cnf(cls_real__le__add__half__cancel_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__add__half__cancel_1) ).
cnf(cls_sum__squares__le__zero__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_0) ).
cnf(cls_sum__squares__le__zero__iff_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_1) ).
cnf(cls_not__sum__squares__lt__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__sum__squares__lt__zero_0) ).
cnf(cls_eq__add__iff1_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1) = X6
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff1_0) ).
cnf(cls_eq__add__iff2_0,axiom,
( X4 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1)
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff2_0) ).
cnf(cls_combine__common__factor_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1),X5,X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_combine__common__factor_0) ).
cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_0) ).
cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_0) ).
cnf(cls_abs__diff__less__iff_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X4,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__diff__less__iff_2) ).
cnf(cls_divide__less__eq__number__of1_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_4) ).
cnf(cls_divide__less__eq__number__of1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_1) ).
cnf(cls_divide__le__eq__number__of1_4,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_4) ).
cnf(cls_divide__le__eq__number__of1_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_1) ).
cnf(cls_less__divide__eq__number__of1_4,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_4) ).
cnf(cls_less__divide__eq__number__of1_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_1) ).
cnf(cls_le__divide__eq__number__of1_4,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_4) ).
cnf(cls_le__divide__eq__number__of1_1,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_1) ).
cnf(cls_divide__less__eq_9,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_9) ).
cnf(cls_divide__le__eq_9,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_9) ).
cnf(cls_divide__less__eq_8,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_8) ).
cnf(cls_divide__le__eq_8,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_8) ).
cnf(cls_less__divide__eq_9,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_9) ).
cnf(cls_less__divide__eq_8,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_8) ).
cnf(cls_le__divide__eq_8,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_8) ).
cnf(cls_le__divide__eq_9,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_9) ).
cnf(cls_divide__less__eq__number__of1_7,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_7) ).
cnf(cls_divide__le__eq__number__of1_7,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_7) ).
cnf(cls_less__divide__eq__number__of1_7,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_7) ).
cnf(cls_le__divide__eq__number__of1_7,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_7) ).
cnf(cls_divide__less__eq__number__of1_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_5) ).
cnf(cls_divide__le__eq__number__of1_5,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_5) ).
cnf(cls_less__divide__eq__number__of1_5,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_5) ).
cnf(cls_le__divide__eq__number__of1_5,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_5) ).
cnf(cls_abs__triangle__ineq3_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__triangle__ineq3_0) ).
cnf(cls_divide__less__eq__number__of_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_5) ).
cnf(cls_divide__le__eq__number__of_5,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_5) ).
cnf(cls_less__divide__eq__number__of_5,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_5) ).
cnf(cls_le__divide__eq__number__of_5,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_5) ).
cnf(cls_divide__less__eq__number__of_7,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_7) ).
cnf(cls_divide__le__eq__number__of_7,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_7) ).
cnf(cls_less__divide__eq__number__of_7,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_7) ).
cnf(cls_le__divide__eq__number__of_7,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_7) ).
cnf(cls_norm__triangle__ineq3_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__triangle__ineq3_0) ).
cnf(cls_gt__half__sum_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gt__half__sum_0) ).
cnf(cls_less__half__sum_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__half__sum_0) ).
cnf(cls_divide__left__mono__neg_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__left__mono__neg_0) ).
cnf(cls_divide__strict__left__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__left__mono_0) ).
cnf(cls_divide__left__mono_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__left__mono_0) ).
cnf(cls_divide__strict__left__mono__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__left__mono__neg_0) ).
cnf(cls_divide__less__eq__number__of1_6,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_6) ).
cnf(cls_less__divide__eq__number__of1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_0) ).
cnf(cls_divide__le__eq__number__of1_6,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_6) ).
cnf(cls_le__divide__eq__number__of1_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_0) ).
cnf(cls_less__divide__eq__number__of1_6,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_6) ).
cnf(cls_divide__less__eq__number__of1_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_0) ).
cnf(cls_le__divide__eq__number__of1_6,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_6) ).
cnf(cls_divide__le__eq__number__of1_0,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_0) ).
cnf(cls_divide__less__eq__number__of_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_4) ).
cnf(cls_divide__le__eq__number__of_4,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_4) ).
cnf(cls_less__divide__eq__number__of_4,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_4) ).
cnf(cls_le__divide__eq__number__of_4,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_4) ).
cnf(cls_sum__squares__le__zero__iff_2,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_2) ).
cnf(cls_cos__3over2__pi_0,axiom,
c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__3over2__pi_0) ).
cnf(cls_divide__less__eq__number__of_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_1) ).
cnf(cls_divide__le__eq__number__of_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_1) ).
cnf(cls_less__divide__eq__number__of_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_1) ).
cnf(cls_le__divide__eq__number__of_1,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_1) ).
cnf(cls_real__average__minus__first_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__average__minus__first_0) ).
cnf(cls_real__average__minus__second_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__average__minus__second_0) ).
cnf(cls_eq__divide__2__times__iff_0,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__2__times__iff_0) ).
cnf(cls_norm__add__less_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X1),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__add__less_0) ).
cnf(cls_norm__mult__less_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X1)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X1),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__mult__less_0) ).
cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I15_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I14_J_0) ).
cnf(cls_divide__less__eq__number__of_6,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_6) ).
cnf(cls_divide__le__eq__number__of_6,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_6) ).
cnf(cls_less__divide__eq__number__of_6,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_6) ).
cnf(cls_le__divide__eq__number__of_6,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_6) ).
cnf(cls_frac__less2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X5,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__less2_0) ).
cnf(cls_frac__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X5,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__less_0) ).
cnf(cls_mult__strict__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__mono_0) ).
cnf(cls_mult__strict__mono_H_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__mono_H_0) ).
cnf(cls_mult__le__less__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__less__imp__less_0) ).
cnf(cls_mult__less__le__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__le__imp__less_0) ).
cnf(cls_frac__le_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X5,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__le_0) ).
cnf(cls_mult__mono_H_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono_H_0) ).
cnf(cls_mult__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono_0) ).
cnf(cls_abs__mult__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X1),X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__mult__less_0) ).
cnf(cls_abs__diff__less__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X2,X1),X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__diff__less__iff_0) ).
cnf(cls_abs__diff__less__iff_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__diff__less__iff_1) ).
cnf(cls_less__divide__eq__number__of_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_0) ).
cnf(cls_le__divide__eq__number__of_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_0) ).
cnf(cls_divide__less__eq__number__of_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_0) ).
cnf(cls_divide__le__eq__number__of_0,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_0) ).
cnf(cls_sum__squares__gt__zero__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_1) ).
cnf(cls_sum__squares__gt__zero__iff_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_2) ).
cnf(cls_sum__squares__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__ge__zero_0) ).
cnf(cls_divide__less__eq__number__of1_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_2) ).
cnf(cls_divide__le__eq__number__of1_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_2) ).
cnf(cls_less__divide__eq__number__of1_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_2) ).
cnf(cls_le__divide__eq__number__of1_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_2) ).
cnf(cls_divide__less__eq_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_5) ).
cnf(cls_divide__le__eq_5,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_5) ).
cnf(cls_divide__less__eq_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_4) ).
cnf(cls_divide__less__eq_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_1) ).
cnf(cls_divide__le__eq_4,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_4) ).
cnf(cls_divide__le__eq_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_1) ).
cnf(cls_less__divide__eq_5,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_5) ).
cnf(cls_less__divide__eq_4,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_4) ).
cnf(cls_less__divide__eq_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_1) ).
cnf(cls_le__divide__eq_4,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_4) ).
cnf(cls_le__divide__eq_5,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_5) ).
cnf(cls_le__divide__eq_1,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_1) ).
cnf(cls_divide__less__eq_7,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_7) ).
cnf(cls_divide__le__eq_7,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_7) ).
cnf(cls_less__divide__eq_7,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_7) ).
cnf(cls_le__divide__eq_7,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_7) ).
cnf(cls_mult__right__less__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__less__imp__less_0) ).
cnf(cls_mult__left__less__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__less__imp__less_0) ).
cnf(cls_mult__less__imp__less__right_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__imp__less__right_0) ).
cnf(cls_mult__less__imp__less__left_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__imp__less__left_0) ).
cnf(cls_mult__less__cancel__left__pos_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__pos_0) ).
cnf(cls_mult__right__le__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__le__imp__le_0) ).
cnf(cls_mult__left__le__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__le__imp__le_0) ).
cnf(cls_mult__le__cancel__left__pos_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__pos_0) ).
cnf(cls_mult__less__cancel__left__neg_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__neg_0) ).
cnf(cls_mult__le__cancel__left__neg_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__neg_0) ).
cnf(cls_real__sum__square__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__square__gt__zero_0) ).
cnf(cls_real__sum__square__gt__zero2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__square__gt__zero2_0) ).
cnf(cls_real__mult__self__sum__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__self__sum__ge__zero_0) ).
cnf(cls_left__diff__distrib__number__of_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__diff__distrib__number__of_0) ).
cnf(cls_left__distrib__number__of_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Osemiring(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__distrib__number__of_0) ).
cnf(cls_right__diff__distrib__number__of_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__diff__distrib__number__of_0) ).
cnf(cls_right__distrib__number__of_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Osemiring(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__distrib__number__of_0) ).
cnf(cls_add__frac__num_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__frac__num_0) ).
cnf(cls_add__num__frac_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1),X4,X1)
| X4 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__num__frac_0) ).
cnf(cls_real__mult__less__iff1_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__iff1_0) ).
cnf(cls_real__mult__le__cancel__iff1_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff1_0) ).
cnf(cls_real__mult__le__cancel__iff2_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff2_0) ).
cnf(cls_mult__less__cancel__left__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_0) ).
cnf(cls_mult__less__cancel__right__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_0) ).
cnf(cls_mult__frac__frac_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__frac_0) ).
cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_1) ).
cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_1) ).
cnf(cls_mult__less__cancel__right__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_1) ).
cnf(cls_mult__less__cancel__left__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_1) ).
cnf(cls_mult__less__cancel__left__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_2) ).
cnf(cls_mult__less__cancel__right__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_2) ).
cnf(cls_Deriv_Oadd__diff__add_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Deriv_Oadd__diff__add_0) ).
cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I13_J_0) ).
cnf(cls_real__gt__half__sum_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__gt__half__sum_0) ).
cnf(cls_real__less__half__sum_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__half__sum_0) ).
cnf(cls_cos__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__gt__zero_0) ).
cnf(cls_mult__less__cancel__right__disj_3,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_3) ).
cnf(cls_mult__less__cancel__left__disj_3,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_3) ).
cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
( X4 = X5
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__scale__eq__noteq_0) ).
cnf(cls_divide__less__eq_6,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_6) ).
cnf(cls_less__divide__eq_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_0) ).
cnf(cls_divide__le__eq_6,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_6) ).
cnf(cls_le__divide__eq_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_0) ).
cnf(cls_less__divide__eq_6,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_6) ).
cnf(cls_divide__less__eq_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_0) ).
cnf(cls_le__divide__eq_6,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_6) ).
cnf(cls_divide__le__eq_0,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_0) ).
cnf(cls_less__divide__eq__number__of_2,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_2) ).
cnf(cls_le__divide__eq__number__of_2,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_2) ).
cnf(cls_divide__less__eq__number__of_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_2) ).
cnf(cls_divide__le__eq__number__of_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_2) ).
cnf(cls_mult__imp__div__pos__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__div__pos__less_0) ).
cnf(cls_mult__imp__div__pos__le_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__div__pos__le_0) ).
cnf(cls_mult__imp__less__div__pos_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__less__div__pos_0) ).
cnf(cls_mult__imp__le__div__pos_0,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__le__div__pos_0) ).
cnf(cls_abs__triangle__ineq2_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__triangle__ineq2_0) ).
cnf(cls_abs__triangle__ineq4_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__triangle__ineq4_0) ).
cnf(cls_abs__triangle__ineq_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__triangle__ineq_0) ).
cnf(cls_abs__le__mult_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__mult_0) ).
cnf(cls_le__add__right__mono_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X5,X4,X1)
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__right__mono_0) ).
cnf(cls_norm__triangle__ineq2_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__triangle__ineq2_0) ).
cnf(cls_norm__diff__ineq_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__diff__ineq_0) ).
cnf(cls_norm__triangle__ineq4_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__triangle__ineq4_0) ).
cnf(cls_norm__triangle__ineq_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__triangle__ineq_0) ).
cnf(cls_norm__mult__ineq_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__mult__ineq_0) ).
cnf(cls_divide__less__eq__number__of1_3,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of1_3) ).
cnf(cls_divide__le__eq__number__of1_3,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of1_3) ).
cnf(cls_less__divide__eq__number__of1_3,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of1_3) ).
cnf(cls_le__divide__eq__number__of1_3,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of1_3) ).
cnf(cls_half__gt__zero__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_half__gt__zero__iff_0) ).
cnf(cls_cos__periodic_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__periodic_0) ).
cnf(cls_eq__divide__2__times__iff_1,axiom,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__2__times__iff_1) ).
cnf(cls_add__less__cancel__right_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_0) ).
cnf(cls_add__less__cancel__left_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_0) ).
cnf(cls_add__le__cancel__right_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_0) ).
cnf(cls_add__le__cancel__left_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_0) ).
cnf(cls_estimate__by__abs_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X4,X1),X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_estimate__by__abs_0) ).
cnf(cls_cos__45_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__45_0) ).
cnf(cls_cos__30_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__30_0) ).
cnf(cls_norm__ratiotest__lemma_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Otimes__class_Otimes(X3,c_RealVector_Onorm__class_Onorm(X4,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__ratiotest__lemma_0) ).
cnf(cls_minus__pi__half__less__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__pi__half__less__zero_0) ).
cnf(cls_divide__less__eq__number__of_3,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq__number__of_3) ).
cnf(cls_divide__le__eq__number__of_3,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq__number__of_3) ).
cnf(cls_less__divide__eq__number__of_3,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq__number__of_3) ).
cnf(cls_le__divide__eq__number__of_3,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq__number__of_3) ).
cnf(cls_m2pi__less__pi_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_m2pi__less__pi_0) ).
cnf(cls_divide__right__mono_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__right__mono_0) ).
cnf(cls_divide__right__mono__neg_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__right__mono__neg_0) ).
cnf(cls_divide__strict__right__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__right__mono_0) ).
cnf(cls_mult__strict__left__mono__comm_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono__comm_0) ).
cnf(cls_mult__strict__left__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono_0) ).
cnf(cls_mult__less__cancel__left__disj_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_4) ).
cnf(cls_mult__less__cancel__left__pos_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__pos_1) ).
cnf(cls_mult__strict__right__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__right__mono_0) ).
cnf(cls_mult__less__cancel__right__disj_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_4) ).
cnf(cls_mult__mono1_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono1_0) ).
cnf(cls_mult__left__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__mono_0) ).
cnf(cls_mult__le__cancel__left__pos_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__pos_1) ).
cnf(cls_mult__right__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__mono_0) ).
cnf(cls_divide__strict__right__mono__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__right__mono__neg_0) ).
cnf(cls_mult__less__cancel__left__disj_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_5) ).
cnf(cls_mult__strict__left__mono__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono__neg_0) ).
cnf(cls_mult__less__cancel__left__neg_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__neg_1) ).
cnf(cls_mult__less__cancel__right__disj_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_5) ).
cnf(cls_mult__strict__right__mono__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__right__mono__neg_0) ).
cnf(cls_mult__left__mono__neg_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__mono__neg_0) ).
cnf(cls_mult__le__cancel__left__neg_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__neg_1) ).
cnf(cls_mult__right__mono__neg_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__mono__neg_0) ).
cnf(cls_mult__right__le__one__le_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__le__one__le_0) ).
cnf(cls_mult__left__le__one__le_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__le__one__le_0) ).
cnf(cls_divide__less__eq_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_2) ).
cnf(cls_divide__le__eq_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_2) ).
cnf(cls_less__divide__eq_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_2) ).
cnf(cls_le__divide__eq_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_2) ).
cnf(cls_real__sum__of__halves_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
cnf(cls_add__strict__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__mono_0) ).
cnf(cls_add__le__less__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__less__mono_0) ).
cnf(cls_add__less__le__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__le__mono_0) ).
cnf(cls_add__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mono_0) ).
cnf(cls_rabs__ratiotest__lemma_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rabs__ratiotest__lemma_0) ).
cnf(cls_lemma__real__divide__sqrt__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma__real__divide__sqrt__less_0) ).
cnf(cls_sum__squares__eq__zero__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_0) ).
cnf(cls_sum__squares__eq__zero__iff_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_1) ).
cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I1_J_0) ).
cnf(cls_divide_Odiff_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Odiff_0) ).
cnf(cls_diff__divide__distrib_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__divide__distrib_0) ).
cnf(cls_divide_Oadd_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Oadd_0) ).
cnf(cls_add__divide__distrib_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__divide__distrib_0) ).
cnf(cls_mult__left_Odiff_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Odiff_0) ).
cnf(cls_mult_Odiff__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Odiff__left_0) ).
cnf(cls_mult__left_Oadd_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Oadd_0) ).
cnf(cls_mult_Oadd__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Oadd__left_0) ).
cnf(cls_comm__semiring__class_Odistrib_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__semiring__class_Odistrib_0) ).
cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I8_J_0) ).
cnf(cls_mult_Odiff__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Odiff__right_0) ).
cnf(cls_mult__right_Odiff_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Odiff_0) ).
cnf(cls_mult__right_Oadd_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Oadd_0) ).
cnf(cls_mult_Oadd__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Oadd__right_0) ).
cnf(cls_class__semiring_Omul__d_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__d_0) ).
cnf(cls_real__mult__less__mono2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__mono2_0) ).
cnf(cls_real__mult__less__iff1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__iff1_1) ).
cnf(cls_real__mult__le__cancel__iff2_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff2_1) ).
cnf(cls_real__mult__le__cancel__iff1_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff1_1) ).
cnf(cls_zero__less__mult__pos2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__mult__pos2_0) ).
cnf(cls_zero__less__mult__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__mult__pos_0) ).
cnf(cls_abs__eq__mult_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__mult_0) ).
cnf(cls_abs__eq__mult_2,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__mult_2) ).
cnf(cls_abs__eq__mult_1,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__mult_1) ).
cnf(cls_abs__eq__mult_3,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__mult_3) ).
cnf(cls_real__sum__squares__cancel_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__squares__cancel_0) ).
cnf(cls_real__sum__squares__cancel2_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__squares__cancel2_0) ).
cnf(cls_real__add__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__mult__distrib_0) ).
cnf(cls_add__cancel__21_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_0) ).
cnf(cls_divide__less__0__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_1) ).
cnf(cls_divide__le__0__iff_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_1) ).
cnf(cls_divide__less__0__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_0) ).
cnf(cls_divide__less__0__iff_3,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_3) ).
cnf(cls_divide__le__0__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_0) ).
cnf(cls_divide__le__0__iff_3,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_3) ).
cnf(cls_zero__less__divide__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_0) ).
cnf(cls_zero__less__divide__iff_3,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_3) ).
cnf(cls_zero__less__divide__iff_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_2) ).
cnf(cls_zero__less__divide__iff_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_1) ).
cnf(cls_zero__le__divide__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_0) ).
cnf(cls_zero__le__divide__iff_3,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_3) ).
cnf(cls_zero__le__divide__iff_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_2) ).
cnf(cls_zero__le__divide__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_1) ).
cnf(cls_divide__less__0__iff_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_2) ).
cnf(cls_divide__le__0__iff_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_2) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_divide__less__eq_3,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_3) ).
cnf(cls_divide__le__eq_3,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_3) ).
cnf(cls_less__divide__eq_3,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_3) ).
cnf(cls_le__divide__eq_3,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_3) ).
cnf(cls_mult__le__0__iff_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_1) ).
cnf(cls_mult__le__0__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_0) ).
cnf(cls_mult__le__0__iff_3,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_3) ).
cnf(cls_zero__le__mult__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_0) ).
cnf(cls_zero__le__mult__iff_3,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_3) ).
cnf(cls_zero__le__mult__iff_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_2) ).
cnf(cls_zero__le__mult__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_1) ).
cnf(cls_mult__le__0__iff_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_2) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_real__minus__mult__self__le_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__minus__mult__self__le_0) ).
cnf(cls_half__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_half__gt__zero_0) ).
cnf(cls_real__sum__gt__zero__less_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__gt__zero__less_0) ).
cnf(cls_divide__less__0__iff_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_5) ).
cnf(cls_divide__less__0__iff_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_4) ).
cnf(cls_divide__le__0__iff_5,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_5) ).
cnf(cls_divide__le__0__iff_4,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_4) ).
cnf(cls_zero__less__divide__iff_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_4) ).
cnf(cls_zero__le__divide__iff_4,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_4) ).
cnf(cls_zero__less__divide__iff_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_5) ).
cnf(cls_zero__le__divide__iff_5,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_5) ).
cnf(cls_divide__neg__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__neg__pos_0) ).
cnf(cls_divide__pos__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__pos__neg_0) ).
cnf(cls_mult__pos__neg2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__neg2_0) ).
cnf(cls_mult__neg__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__neg__pos_0) ).
cnf(cls_mult__pos__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__neg_0) ).
cnf(cls_divide__nonneg__neg_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonneg__neg_0) ).
cnf(cls_divide__nonpos__pos_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonpos__pos_0) ).
cnf(cls_split__mult__neg__le_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__neg__le_1) ).
cnf(cls_mult__nonpos__nonneg_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonpos__nonneg_0) ).
cnf(cls_mult__nonneg__nonpos2_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonpos2_0) ).
cnf(cls_split__mult__neg__le_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__neg__le_0) ).
cnf(cls_mult__nonneg__nonpos_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonpos_0) ).
cnf(cls_mult__le__0__iff_5,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_5) ).
cnf(cls_mult__le__0__iff_4,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_4) ).
cnf(cls_add__neg__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__neg_0) ).
cnf(cls_add__nonpos__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__neg_0) ).
cnf(cls_add__neg__nonpos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__nonpos_0) ).
cnf(cls_add__nonpos__nonpos_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__nonpos_0) ).
cnf(cls_less__1__mult_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__1__mult_0) ).
cnf(cls_divide__pos__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__pos__pos_0) ).
cnf(cls_add__pos__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__pos_0) ).
cnf(cls_add__nonneg__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__pos_0) ).
cnf(cls_add__pos__nonneg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__nonneg_0) ).
cnf(cls_mult__pos__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__pos_0) ).
cnf(cls_divide__nonneg__pos_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonneg__pos_0) ).
cnf(cls_add__nonneg__nonneg_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__nonneg_0) ).
cnf(cls_split__mult__pos__le_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__pos__le_0) ).
cnf(cls_mult__nonneg__nonneg_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonneg_0) ).
cnf(cls_zero__le__mult__iff_4,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_4) ).
cnf(cls_divide__neg__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__neg__neg_0) ).
cnf(cls_mult__neg__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__neg__neg_0) ).
cnf(cls_divide__nonpos__neg_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonpos__neg_0) ).
cnf(cls_split__mult__pos__le_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__pos__le_1) ).
cnf(cls_mult__nonpos__nonpos_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonpos__nonpos_0) ).
cnf(cls_zero__le__mult__iff_5,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_5) ).
cnf(cls_real__0__le__divide__iff_1,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_1) ).
cnf(cls_real__0__le__divide__iff_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_0) ).
cnf(cls_add__strict__left__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__left__mono_0) ).
cnf(cls_add__less__cancel__left_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).
cnf(cls_add__strict__right__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__right__mono_0) ).
cnf(cls_add__less__cancel__right_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_1) ).
cnf(cls_add__le__cancel__left_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_1) ).
cnf(cls_add__left__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__mono_0) ).
cnf(cls_add__le__cancel__right_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_1) ).
cnf(cls_add__right__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__mono_0) ).
cnf(cls_add__strict__increasing2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing2_0) ).
cnf(cls_add__strict__increasing_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing_0) ).
cnf(cls_add__increasing2_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing2_0) ).
cnf(cls_add__increasing_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing_0) ).
cnf(cls_zero__less__divide__1__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__1__iff_0) ).
cnf(cls_zero__le__divide__1__iff_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__1__iff_0) ).
cnf(cls_divide__less__0__1__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__1__iff_0) ).
cnf(cls_divide__le__0__1__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__1__iff_0) ).
cnf(cls_cos__monotone__minus__pi__0_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__monotone__minus__pi__0_0) ).
cnf(cls_cos__monotone__minus__pi__0_H_0,axiom,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__monotone__minus__pi__0_H_0) ).
cnf(cls_le__eq__neg_1,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eq__neg_1) ).
cnf(cls_real__minus__half__eq_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__minus__half__eq_0) ).
cnf(cls_pos__add__strict_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos__add__strict_0) ).
cnf(cls_ln__div_0,axiom,
( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__div_0) ).
cnf(cls_ln__mult_0,axiom,
( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__mult_0) ).
cnf(cls_le__number__of__eq__not__less_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__number__of__eq__not__less_0) ).
cnf(cls_real__add__left__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__left__mono_0) ).
cnf(cls_mult__divide__mult__cancel__left_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__divide__mult__cancel__left_0) ).
cnf(cls_mult__divide__mult__cancel__right_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X4,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__divide__mult__cancel__right_0) ).
cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I2_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X1),X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I3_J_0) ).
cnf(cls_abs__add__abs_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__add__abs_0) ).
cnf(cls_real__mult__order_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__order_0) ).
cnf(cls_real__0__le__divide__iff_4,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_4) ).
cnf(cls_real__0__le__divide__iff_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_2) ).
cnf(cls_real__0__le__divide__iff_5,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_5) ).
cnf(cls_real__0__le__divide__iff_3,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__divide__iff_3) ).
cnf(cls_mult__frac__num_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).
cnf(cls_ln__less__cancel__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__less__cancel__iff_0) ).
cnf(cls_ln__le__cancel__iff_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__le__cancel__iff_0) ).
cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_0) ).
cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_0) ).
cnf(cls_even__less__0__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_0) ).
cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_0) ).
cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_0) ).
cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).
cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).
cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__assoc_0) ).
cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).
cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I17_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I25_J_0) ).
cnf(cls_class__semiring_Oadd__a_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).
cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I18_J_0) ).
cnf(cls_class__semiring_Omul__a_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).
cnf(cls_add__cancel__21_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).
cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).
cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).
cnf(cls_sum__squares__eq__zero__iff_2,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_2) ).
cnf(cls_real__0__less__add__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__less__add__iff_0) ).
cnf(cls_real__0__le__add__iff_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__add__iff_0) ).
cnf(cls_real__add__less__0__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__less__0__iff_0) ).
cnf(cls_real__add__le__0__iff_0,axiom,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__le__0__iff_0) ).
cnf(cls_ln__less__cancel__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__less__cancel__iff_1) ).
cnf(cls_ln__le__cancel__iff_1,axiom,
( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__le__cancel__iff_1) ).
cnf(cls_less__iff__diff__less__0_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_1) ).
cnf(cls_le__iff__diff__le__0_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_1) ).
cnf(cls_abs__minus__add__cancel_0,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__minus__add__cancel_0) ).
cnf(cls_less__eqI_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_1) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_cos__monotone__0__pi_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__monotone__0__pi_0) ).
cnf(cls_cos__monotone__0__pi_H_0,axiom,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__monotone__0__pi_H_0) ).
cnf(cls_real__divide__square__eq_0,axiom,
c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__divide__square__eq_0) ).
cnf(cls_real__mult__assoc_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__assoc_0) ).
cnf(cls_abs__div__pos_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__div__pos_0) ).
cnf(cls_real__le__eq__diff_1,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__eq__diff_1) ).
cnf(cls_abs__mult__pos_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__mult__pos_0) ).
cnf(cls_half_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_half_0) ).
cnf(cls_le__eq__neg_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eq__neg_0) ).
cnf(cls_abs__less__iff_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__less__iff_2) ).
cnf(cls_abs__le__iff_2,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__iff_2) ).
cnf(cls_abs__leI_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__leI_0) ).
cnf(cls_frac__eq__eq_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X5 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X5,X1) = c_HOL_Oinverse__class_Odivide(X4,X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Otimes__class_Otimes(X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__eq__eq_1) ).
cnf(cls_frac__eq__eq_0,axiom,
( X5 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Otimes__class_Otimes(X2,X5,X1) = c_HOL_Otimes__class_Otimes(X4,X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oinverse__class_Odivide(X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__eq__eq_0) ).
cnf(cls_add__nonneg__eq__0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_0) ).
cnf(cls_add__nonneg__eq__0__iff_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_1) ).
cnf(cls_pi__half__less__two_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__less__two_0) ).
cnf(cls_pi__half__le__two_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__le__two_0) ).
cnf(cls_divide__less__0__1__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__1__iff_1) ).
cnf(cls_divide__le__0__1__iff_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__1__iff_1) ).
cnf(cls_zero__less__divide__1__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__1__iff_1) ).
cnf(cls_zero__le__divide__1__iff_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__1__iff_1) ).
cnf(cls_real__less__sum__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__sum__gt__zero_0) ).
cnf(cls_real__two__squares__add__zero__iff_2,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).
cnf(cls_divide__eq__eq__number__of1_3,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of1_3) ).
cnf(cls_eq__divide__eq__number__of1_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of1_0) ).
cnf(cls_eq__divide__eq__number__of1_3,axiom,
( X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of1_3) ).
cnf(cls_divide__eq__eq__number__of1_0,axiom,
( X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of1_0) ).
cnf(cls_abs__le__interval__iff_2,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__interval__iff_2) ).
cnf(cls_real__add__less__0__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__less__0__iff_1) ).
cnf(cls_real__add__le__0__iff_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__le__0__iff_1) ).
cnf(cls_real__0__less__add__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__less__add__iff_1) ).
cnf(cls_real__0__le__add__iff_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__0__le__add__iff_1) ).
cnf(cls_number__of__Bit0_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_number__of__Bit0_0) ).
cnf(cls_number__of__Bit1_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X2),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_number__of__Bit1_0) ).
cnf(cls_add__cancel__end_0,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X4,X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__end_0) ).
cnf(cls_divide__eq__eq__number__of_4,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of_4) ).
cnf(cls_eq__divide__eq__number__of_4,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of_4) ).
cnf(cls_divide__eq__eq__number__of1_4,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of1_4) ).
cnf(cls_eq__divide__eq__number__of1_4,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of1_4) ).
cnf(cls_not__square__less__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__square__less__zero_0) ).
cnf(cls_not__real__square__gt__zero_1,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_1) ).
cnf(cls_even__less__0__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_1) ).
cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_1) ).
cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_1) ).
cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_1) ).
cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_1) ).
cnf(cls_real__sum__squares__cancel__a_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__squares__cancel__a_0) ).
cnf(cls_real__sum__squares__cancel__a_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__squares__cancel__a_1) ).
cnf(cls_less__iff__diff__less__0_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_0) ).
cnf(cls_le__iff__diff__le__0_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_0) ).
cnf(cls_divide__eq__eq__number__of_3,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of_3) ).
cnf(cls_eq__divide__eq__number__of_3,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of_3) ).
cnf(cls_poly__cont_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__cont_0) ).
cnf(cls_pi__half__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__gt__zero_0) ).
cnf(cls_pi__half__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__ge__zero_0) ).
cnf(cls_abs__minus__commute_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__minus__commute_0) ).
cnf(cls_norm__minus__commute_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X1),X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__minus__commute_0) ).
cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X2,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I4_J_0) ).
cnf(cls_real__le__eq__diff_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__eq__diff_0) ).
cnf(cls_abs__divide_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__divide_0) ).
cnf(cls_norm__divide_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__divide_0) ).
cnf(cls_nonzero__abs__divide_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__abs__divide_0) ).
cnf(cls_double__number__of__Bit0_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__number__of__Bit0_0) ).
cnf(cls_nonzero__norm__divide_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__norm__divide_0) ).
cnf(cls_order__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_order__less__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
cnf(cls_xt1_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(cls_xt1_I7_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_xt1_I8_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_Lim_Ominus__diff__minus_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lim_Ominus__diff__minus_0) ).
cnf(cls_abs__mult_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__mult_0) ).
cnf(cls_minus__add__distrib_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add__distrib_0) ).
cnf(cls_minus__add_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add_0) ).
cnf(cls_norm__mult_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__mult_0) ).
cnf(cls_abs__number__of_0,axiom,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__number__of_0) ).
cnf(cls_neg__less__iff__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__less__iff__less_0) ).
cnf(cls_neg__le__iff__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__iff__le_0) ).
cnf(cls_le__number__of__eq__not__less_1,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Int_Onumber(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__number__of__eq__not__less_1) ).
cnf(cls_mult__left__idem_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__idem_0) ).
cnf(cls_add__minus__cancel_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1),X1) = X3
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__minus__cancel_0) ).
cnf(cls_real__le__trans_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__trans_0) ).
cnf(cls_eq__divide__eq__number__of_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1) = X3
| X4 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of_0) ).
cnf(cls_divide__eq__eq__number__of_0,axiom,
( X2 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_Int_Onumber__class_Onumber__of(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of_0) ).
cnf(cls_minus__divide__right_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__divide__right_0) ).
cnf(cls_abs__less__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__less__iff_1) ).
cnf(cls_minus__less__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__less__iff_0) ).
cnf(cls_minus__less__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__less__iff_1) ).
cnf(cls_abs__le__D2_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__D2_0) ).
cnf(cls_minus__le__iff_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).
cnf(cls_minus__le__iff_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).
cnf(cls_less__minus__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__minus__iff_0) ).
cnf(cls_less__minus__iff_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__minus__iff_1) ).
cnf(cls_le__minus__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).
cnf(cls_le__minus__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_1) ).
cnf(cls_nonzero__minus__divide__right_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__minus__divide__right_0) ).
cnf(cls_divide_Ominus_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Ominus_0) ).
cnf(cls_mult_Ominus__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ominus__left_0) ).
cnf(cls_mult__left_Ominus_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Ominus_0) ).
cnf(cls_mult_Ominus__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ominus__right_0) ).
cnf(cls_mult__right_Ominus_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Ominus_0) ).
cnf(cls_minus__divide__left_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__divide__left_0) ).
cnf(cls_minus__mult__left_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__mult__left_0) ).
cnf(cls_minus__mult__right_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__mult__right_0) ).
cnf(cls_neg__less__0__iff__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__less__0__iff__less_0) ).
cnf(cls_neg__le__0__iff__le_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__0__iff__le_0) ).
cnf(cls_neg__0__less__iff__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__less__iff__less_0) ).
cnf(cls_neg__0__le__iff__le_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__le__iff__le_0) ).
cnf(cls_less__le__not__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).
cnf(cls_cos__pi__half_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__pi__half_0) ).
cnf(cls_neg__less__iff__less_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__less__iff__less_1) ).
cnf(cls_le__imp__neg__le_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).
cnf(cls_zero__less__two_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__two_0) ).
cnf(cls_square__eq__iff_0,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X3,X1)
| X2 = X3
| ~ class_Ring__and__Field_Oidom(X1)
| c_HOL_Otimes__class_Otimes(X2,X2,X1) != c_HOL_Otimes__class_Otimes(X3,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_square__eq__iff_0) ).
cnf(cls_abs__le__interval__iff_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__interval__iff_0) ).
cnf(cls_minus__add__cancel_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) = X3
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__add__cancel_0) ).
cnf(cls_add__cancel__end_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1) = X3
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__end_1) ).
cnf(cls_neg__less__eq__nonneg_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__less__eq__nonneg_0) ).
cnf(cls_minus__le__self__iff_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__self__iff_0) ).
cnf(cls_less__minus__self__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__minus__self__iff_0) ).
cnf(cls_less__eq__neg__nonpos_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__neg__nonpos_0) ).
cnf(cls_le__minus__self__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__self__iff_0) ).
cnf(cls_pi__half__neq__two_0,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__neq__two_0) ).
cnf(cls_ln__inj__iff_0,axiom,
( X1 = X2
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__inj__iff_0) ).
cnf(cls_divide__eq__eq_4,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_4) ).
cnf(cls_eq__divide__eq_4,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_4) ).
cnf(cls_neg__less__0__iff__less_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__less__0__iff__less_1) ).
cnf(cls_neg__le__0__iff__le_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__0__iff__le_1) ).
cnf(cls_neg__0__less__iff__less_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__less__iff__less_1) ).
cnf(cls_neg__0__le__iff__le_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__le__iff__le_1) ).
cnf(cls_abs__less__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__less__iff_0) ).
cnf(cls_abs__le__D1_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__D1_0) ).
cnf(cls_class__ringb_Oadd__cancel_0,axiom,
( X3 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).
cnf(cls_neg__less__eq__nonneg_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__less__eq__nonneg_1) ).
cnf(cls_minus__le__self__iff_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__self__iff_1) ).
cnf(cls_less__minus__self__iff_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__minus__self__iff_1) ).
cnf(cls_less__eq__neg__nonpos_1,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__neg__nonpos_1) ).
cnf(cls_le__minus__self__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__self__iff_1) ).
cnf(cls_minus__diff__eq_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__diff__eq_0) ).
cnf(cls_divide__eq__eq_3,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = X2
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_3) ).
cnf(cls_eq__divide__eq_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1) = X2
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_0) ).
cnf(cls_eq__divide__eq_3,axiom,
( X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_3) ).
cnf(cls_divide__eq__eq_0,axiom,
( X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_0) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_less__add__one_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__one_0) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_add__right__cancel_0,axiom,
( X2 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__cancel_0) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_add__imp__eq_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__imp__eq_0) ).
cnf(cls_add__left__cancel_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__cancel_0) ).
cnf(cls_order__less__asym_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
cnf(cls_order__less__asym_H_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_xt1_I9_J_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
cnf(cls_not__less__iff__gr__or__eq_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
cnf(cls_linorder__antisym__conv2_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_minus__divide__divide_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__divide__divide_0) ).
cnf(cls_divide__eq__imp_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) = X3
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__imp_0) ).
cnf(cls_eq__divide__imp_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__imp_0) ).
cnf(cls_zero__le__square_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__square_0) ).
cnf(cls_nonzero__minus__divide__divide_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nonzero__minus__divide__divide_0) ).
cnf(cls_abs__le__interval__iff_1,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__interval__iff_1) ).
cnf(cls_real__sqrt__divide_0,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__divide_0) ).
cnf(cls_real__sqrt__mult_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__mult_0) ).
cnf(cls_real__mult__right__cancel_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__right__cancel_0) ).
cnf(cls_real__mult__left__cancel_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__left__cancel_0) ).
cnf(cls_real__le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
cnf(cls_add__diff__cancel_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).
cnf(cls_diff__add__cancel_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).
cnf(cls_abs__mult__self_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__mult__self_0) ).
cnf(cls_square__eq__iff_1,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X2,X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_square__eq__iff_1) ).
cnf(cls_minus__mult__minus_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__mult__minus_0) ).
cnf(cls_minus__mult__commute_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__mult__commute_0) ).
cnf(cls_mult__2_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X2,X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__2_0) ).
cnf(cls_mult__2__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__2__right_0) ).
cnf(cls_not__real__square__gt__zero_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_0) ).
cnf(cls_zero__less__abs__iff_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__abs__iff_0) ).
cnf(cls_pi__half__neq__zero_0,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__half__neq__zero_0) ).
cnf(cls_divide__eq__eq__number__of_1,axiom,
( c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of_1) ).
cnf(cls_eq__divide__eq__number__of_1,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of_1) ).
cnf(cls_cos__two__less__zero_0,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__two__less__zero_0) ).
cnf(cls_cos__two__le__zero_0,axiom,
c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__two__le__zero_0) ).
cnf(cls_real__sqrt__two__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__two__gt__zero_0) ).
cnf(cls_real__sqrt__two__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__two__ge__zero_0) ).
cnf(cls_real__sqrt__less__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__less__iff_0) ).
cnf(cls_real__sqrt__le__iff_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__le__iff_0) ).
cnf(cls_zero__less__norm__iff_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_0) ).
cnf(cls_abs__number__of_1,axiom,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__number__of_1) ).
cnf(cls_real__sqrt__gt__0__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__gt__0__iff_0) ).
cnf(cls_real__sqrt__ge__0__iff_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__ge__0__iff_0) ).
cnf(cls_real__sqrt__lt__0__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__lt__0__iff_0) ).
cnf(cls_real__sqrt__le__0__iff_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__le__0__iff_0) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_real__sqrt__gt__zero_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__gt__zero_0) ).
cnf(cls_real__sqrt__gt__0__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__gt__0__iff_1) ).
cnf(cls_real__sqrt__ge__0__iff_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__ge__0__iff_1) ).
cnf(cls_real__sqrt__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__ge__zero_0) ).
cnf(cls_real__sqrt__lt__0__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__lt__0__iff_1) ).
cnf(cls_real__sqrt__le__0__iff_1,axiom,
( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__le__0__iff_1) ).
cnf(cls_order__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_2) ).
cnf(cls_order__le__less_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_0) ).
cnf(cls_order__le__neq__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
cnf(cls_order__neq__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
cnf(cls_xt1_I12_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
cnf(cls_xt1_I11_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
cnf(cls_linorder__antisym__conv1_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
cnf(cls_linorder__antisym__conv2_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
cnf(cls_real__sqrt__less__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__less__iff_1) ).
cnf(cls_real__sqrt__le__iff_1,axiom,
( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__le__iff_1) ).
cnf(cls_abs__le__zero__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__zero__iff_0) ).
cnf(cls_order__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
cnf(cls_order__le__less_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_1) ).
cnf(cls_ln__less__self_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__less__self_0) ).
cnf(cls_abs__minus__le__zero_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__minus__le__zero_0) ).
cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__mod__minus__le__complex__mod_0) ).
cnf(cls_abs__not__less__zero_0,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__not__less__zero_0) ).
cnf(cls_diff__minus__eq__add_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Oplus__class_Oplus(X2,X3,X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).
cnf(cls_diff__minus_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__minus_0) ).
cnf(cls_ab__diff__minus_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__diff__minus_0) ).
cnf(cls_diff__def_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__def_0) ).
cnf(cls_class__ring_Osub__add_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ring_Osub__add_0) ).
cnf(cls_norm__le__zero__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__le__zero__iff_0) ).
cnf(cls_real__less__def_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).
cnf(cls_abs__if__lattice_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__if__lattice_0) ).
cnf(cls_real__less__def_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
cnf(cls_norm__not__less__zero_0,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__not__less__zero_0) ).
cnf(cls_pi__less__4_0,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__less__4_0) ).
cnf(cls_divide__eq__eq__number__of1_1,axiom,
( c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of1_1) ).
cnf(cls_eq__divide__eq__number__of1_2,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of1_2) ).
cnf(cls_abs__if_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_Ring__and__Field_Oabs__if(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__if_0) ).
cnf(cls_abs__of__neg_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__of__neg_0) ).
cnf(cls_abs__of__nonpos_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__of__nonpos_0) ).
cnf(cls_real__diff__def_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
cnf(cls_real__add__minus__iff_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__minus__iff_0) ).
cnf(cls_divide__eq__eq__number__of_2,axiom,
( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq__number__of_2) ).
cnf(cls_eq__divide__eq__number__of_2,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq__number__of_2) ).
cnf(cls_cos__periodic__pi_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__periodic__pi_0) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_linorder__neqE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
cnf(cls_linorder__less__linear_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
cnf(cls_linorder__antisym__conv3_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
cnf(cls_not__less__iff__gr__or__eq_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
cnf(cls_abs__of__pos_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__of__pos_0) ).
cnf(cls_abs__of__nonneg_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__of__nonneg_0) ).
cnf(cls_linorder__antisym__conv1_1,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
cnf(cls_linorder__not__less_0,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
cnf(cls_linorder__not__le_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
cnf(cls_not__leE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_class__semiring_Oadd__c_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).
cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
cnf(cls_class__semiring_Omul__c_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
cnf(cls_minus__unique_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__unique_0) ).
cnf(cls_eq__neg__iff__add__eq__0_1,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X3,X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__neg__iff__add__eq__0_1) ).
cnf(cls_class__ring_Oneg__mul_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ring_Oneg__mul_0) ).
cnf(cls_abs__ge__minus__self_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__ge__minus__self_0) ).
cnf(cls_real__abs__def_0,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_0) ).
cnf(cls_not__one__less__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__less__zero_0) ).
cnf(cls_not__one__le__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__le__zero_0) ).
cnf(cls_no__zero__divirors__neq0_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_no__zero__divirors__neq0_0) ).
cnf(cls_no__zero__divisors_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_no__zero__divisors_0) ).
cnf(cls_mult__eq__0__iff_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_0) ).
cnf(cls_class__ringb_Osubr0__iff_0,axiom,
( X2 = X3
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).
cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).
cnf(cls_right__inverse__eq_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = X3
| ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__inverse__eq_0) ).
cnf(cls_real__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
cnf(cls_abs__le__zero__iff_1,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__le__zero__iff_1) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(cls_double__eq__0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_0) ).
cnf(cls_real__sqrt__eq__zero__cancel_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__eq__zero__cancel_0) ).
cnf(cls_divide__Numeral0_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__Numeral0_0) ).
cnf(cls_divide__Numeral1_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__Numeral1_0) ).
cnf(cls_divide__numeral__1_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__numeral__1_0) ).
cnf(cls_right__minus__eq_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).
cnf(cls_eq__iff__diff__eq__0_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).
cnf(cls_norm__le__zero__iff_1,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__le__zero__iff_1) ).
cnf(cls_real__add__eq__0__iff_0,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_0) ).
cnf(cls_one__add__one__is__two_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__add__one__is__two_0) ).
cnf(cls_real__sqrt__not__eq__zero_0,axiom,
( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__not__eq__zero_0) ).
cnf(cls_zero__less__abs__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__abs__iff_1) ).
cnf(cls_pi__ge__two_0,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__ge__two_0) ).
cnf(cls_zero__less__norm__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_1) ).
cnf(cls_mult__numeral__1_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__numeral__1_0) ).
cnf(cls_mult__numeral__1__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__numeral__1__right_0) ).
cnf(cls_abs__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__ge__zero_0) ).
cnf(cls_order__less__irrefl_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
cnf(cls_order__less__le_1,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).
cnf(cls_linorder__neq__iff_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
cnf(cls_eq__neg__iff__add__eq__0_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__neg__iff__add__eq__0_0) ).
cnf(cls_left__minus_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__minus_0) ).
cnf(cls_ab__left__minus_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__left__minus_0) ).
cnf(cls_right__minus_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus_0) ).
cnf(cls_abs__if__lattice_1,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__if__lattice_1) ).
cnf(cls_norm__number__of_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__number__of_0) ).
cnf(cls_norm__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
cnf(cls_abs__ge__self_0,axiom,
( c_lessequals(X2,c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__ge__self_0) ).
cnf(cls_pi__not__less__zero_0,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__not__less__zero_0) ).
cnf(cls_add__numeral__0_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__numeral__0_0) ).
cnf(cls_add__numeral__0__right_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__numeral__0__right_0) ).
cnf(cls_divide__self__if_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self__if_0) ).
cnf(cls_cos__two__neq__zero_0,axiom,
c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__two__neq__zero_0) ).
cnf(cls_real__less__def_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).
cnf(cls_abs__if_1,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oabs__if(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__if_1) ).
cnf(cls_group__add__class_Odiff__0_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_group__add__class_Odiff__0_0) ).
cnf(cls_divide__zero_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero_0) ).
cnf(cls_divide__eq__eq_1,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_1) ).
cnf(cls_eq__divide__eq_2,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_2) ).
cnf(cls_real__add__eq__0__iff_1,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
cnf(cls_divide__self__if_1,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self__if_1) ).
cnf(cls_double__eq__0__iff_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_1) ).
cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).
cnf(cls_zero__less__one_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__one_0) ).
cnf(cls_zero__le__one_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__one_0) ).
cnf(cls_class__ringb_Osubr0__iff_1,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).
cnf(cls_divide_Ozero_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Ozero_0) ).
cnf(cls_divide__zero__left_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).
cnf(cls_mult__zero__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__left_0) ).
cnf(cls_mult__eq__0__iff_1,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_1) ).
cnf(cls_mult__left_Ozero_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Ozero_0) ).
cnf(cls_mult_Ozero__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ozero__left_0) ).
cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I9_J_0) ).
cnf(cls_class__semiring_Omul__0_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__0_0) ).
cnf(cls_mult__zero__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__right_0) ).
cnf(cls_mult__eq__0__iff_2,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_2) ).
cnf(cls_mult_Ozero__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ozero__right_0) ).
cnf(cls_mult__right_Ozero_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Ozero_0) ).
cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_J_0) ).
cnf(cls_right__inverse__eq_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__inverse__eq_1) ).
cnf(cls_divide__self_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self_0) ).
cnf(cls_real__abs__def_1,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
cnf(cls_add__0__left_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__0__left_0) ).
cnf(cls_comm__monoid__add_Omult__1_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1_0) ).
cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).
cnf(cls_class__semiring_Oadd__0_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__0_0) ).
cnf(cls_mult__1_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1_0) ).
cnf(cls_mult__1__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__left_0) ).
cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I11_J_0) ).
cnf(cls_class__semiring_Omul__1_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__1_0) ).
cnf(cls_divide__1_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__1_0) ).
cnf(cls_diff__0__right_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).
cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1__right_0) ).
cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
cnf(cls_mult__1__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__right_0) ).
cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I12_J_0) ).
cnf(cls_diff__self_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__self_0) ).
cnf(cls_right__minus__eq_1,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
cnf(cls_mult__idem_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X2,X1) = X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__idem_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_abs__idempotent_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__idempotent_0) ).
cnf(cls_abs__minus__cancel_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__minus__cancel_0) ).
cnf(cls_norm__minus__cancel_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_RealVector_Onorm__class_Onorm(X2,X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__minus__cancel_0) ).
cnf(cls_eq__number__of_0,axiom,
( X2 = X3
| ~ class_Int_Oring__char__0(X1)
| ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__number__of_0) ).
cnf(cls_abs__norm__cancel_0,axiom,
( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__norm__cancel_0) ).
cnf(cls_pi__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__gt__zero_0) ).
cnf(cls_pi__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__ge__zero_0) ).
cnf(cls_compl__eq__compl__iff_0,axiom,
( X2 = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
cnf(cls_neg__equal__iff__equal_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).
cnf(cls_real__le__refl_0,axiom,
c_lessequals(X1,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__refl_0) ).
cnf(cls_double__compl_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
cnf(cls_minus__minus_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).
cnf(cls_minus__equation__iff_1,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
cnf(cls_equation__minus__iff_0,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_0) ).
cnf(cls_equation__minus__iff_1,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).
cnf(cls_real__sqrt__minus_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__minus_0) ).
cnf(cls_neg__0__equal__iff__equal_0,axiom,
( c_HOL_Ozero__class_Ozero(X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__equal__iff__equal_0) ).
cnf(cls_abs__eq__0_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| c_HOL_Oabs__class_Oabs(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__0_0) ).
cnf(cls_neg__equal__0__iff__equal_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__0__iff__equal_0) ).
cnf(cls_norm__eq__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(X2,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__eq__zero_0) ).
cnf(cls_neg__equal__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__zero_0) ).
cnf(cls_abs__one_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__one_0) ).
cnf(cls_abs__eq__0_1,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__eq__0_1) ).
cnf(cls_neg__equal__zero_1,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__zero_1) ).
cnf(cls_minus__zero_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__zero_0) ).
cnf(cls_neg__0__equal__iff__equal_1,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__0__equal__iff__equal_1) ).
cnf(cls_cos__minus_0,axiom,
c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cos__minus_0) ).
cnf(cls_norm__zero_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).
cnf(cls_numeral__1__eq__1_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_numeral__1__eq__1_0) ).
cnf(cls_comp__arith_I110_J_0,axiom,
( c_HOL_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__arith_I110_J_0) ).
cnf(cls_number__of__Pls_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_number__of__Pls_0) ).
cnf(cls_comp__arith_I112_J_0,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__arith_I112_J_0) ).
cnf(cls_one__neq__zero_0,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).
cnf(cls_zero__neq__one_0,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__neq__one_0) ).
cnf(cls_real__sqrt__eq__iff_0,axiom,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__eq__iff_0) ).
cnf(cls_rel__simps_I48_J_0,axiom,
( X1 = X2
| c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I48_J_0) ).
cnf(cls_rel__simps_I51_J_0,axiom,
( X1 = X2
| c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I51_J_0) ).
cnf(cls_real__sqrt__eq__0__iff_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__eq__0__iff_0) ).
cnf(cls_rel__simps_I49_J_0,axiom,
c_Int_OBit0(X1) != c_Int_OBit1(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I49_J_0) ).
cnf(cls_rel__simps_I50_J_0,axiom,
c_Int_OBit1(X1) != c_Int_OBit0(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I50_J_0) ).
cnf(cls_real__sqrt__zero_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
cnf(cls_rel__simps_I38_J_0,axiom,
( c_Int_OPls = X1
| c_Int_OPls != c_Int_OBit0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I38_J_0) ).
cnf(cls_rel__simps_I44_J_0,axiom,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I44_J_0) ).
cnf(cls_rel__simps_I46_J_0,axiom,
c_Int_OBit1(X1) != c_Int_OPls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I46_J_0) ).
cnf(cls_rel__simps_I39_J_0,axiom,
c_Int_OPls != c_Int_OBit1(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I39_J_0) ).
cnf(cls_pi__neq__zero_0,axiom,
c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pi__neq__zero_0) ).
cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).
cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Oring__char__0) ).
cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Oring__char__0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
class_Ring__and__Field_Oabs__if(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oabs__if) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__field) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__field) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
class_Ring__and__Field_Oordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semiring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
class_Ring__and__Field_Olordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Olordered__ring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring) ).
cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
class_Ring__and__Field_Omult__mono1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__mono1) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
class_Ring__and__Field_Omult__mono(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__mono) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
class_Ring__and__Field_Opordered__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__ring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
class_Ring__and__Field_Opordered__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__semiring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__idom) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
class_Ring__and__Field_Oring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).
cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).
cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
cnf(clsarity_Int__Oint__Int_Onumber,axiom,
class_Int_Onumber(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber) ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber) ).
cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).
cnf(cls_Bit0__Pls_0,axiom,
c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Bit0__Pls_0) ).
cnf(cls_rel__simps_I38_J_1,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__simps_I38_J_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_1055,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_tan__monotone_H_1 ).
cnf(i_0_1056,axiom,
c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
cls_tan__def_0 ).
cnf(i_0_1057,axiom,
c_Transcendental_Osin(X1) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
cls_sin__cos__eq_0 ).
cnf(i_0_1058,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_tan__monotone_H_0 ).
cnf(i_0_1059,axiom,
( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_add__tan__eq_0 ).
cnf(i_0_1060,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_tan__monotone_0 ).
cnf(i_0_1061,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
cls_tan__periodic_0 ).
cnf(i_0_1062,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_sin__diff_0 ).
cnf(i_0_1063,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_sin__add_0 ).
cnf(i_0_1064,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_sin__diff2_0 ).
cnf(i_0_1065,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
cls_tan__periodic__n_0 ).
cnf(i_0_1066,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__diff_0 ).
cnf(i_0_1067,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__diff2_0 ).
cnf(i_0_1068,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__add_0 ).
cnf(i_0_1069,axiom,
c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
cls_tan__minus_0 ).
cnf(i_0_1070,axiom,
( c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_sin__monotone__2pi_H_0 ).
cnf(i_0_1071,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
cls_sin__double_0 ).
cnf(i_0_1072,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
cls_tan__periodic__pi_0 ).
cnf(i_0_1073,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_tan__less__zero_0 ).
cnf(i_0_1074,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_tan__gt__zero_0 ).
cnf(i_0_1075,axiom,
c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
cls_tan__60_0 ).
cnf(i_0_1076,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
cls_sin__periodic_0 ).
cnf(i_0_1077,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__periodic__pi2_0 ).
cnf(i_0_1078,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__periodic__pi_0 ).
cnf(i_0_1079,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_sin__less__zero_0 ).
cnf(i_0_1080,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__minus_0 ).
cnf(i_0_1081,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_sin__gt__zero2_0 ).
cnf(i_0_1082,axiom,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
cls_minus__sin__cos__eq_0 ).
cnf(i_0_1083,axiom,
c_Transcendental_Ocos(X1) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
cls_cos__sin__eq_0 ).
cnf(i_0_1084,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_sin__gt__zero_0 ).
cnf(i_0_1085,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_sin__45_0 ).
cnf(i_0_1086,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_sin__gt__zero__pi_0 ).
cnf(i_0_1087,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_sin__ge__zero_0 ).
cnf(i_0_1088,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_sin__60_0 ).
cnf(i_0_1089,axiom,
c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_tan__zero_0 ).
cnf(i_0_1090,axiom,
c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_tan__pi_0 ).
cnf(i_0_1091,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_sin__two__pi_0 ).
cnf(i_0_1092,axiom,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_sin__zero_0 ).
cnf(i_0_1093,axiom,
c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_sin__pi_0 ).
cnf(i_0_1094,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__nonneg__eq__0__iff_2 ).
cnf(i_0_1095,axiom,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_that_2,
[final] ).
cnf(i_0_1096,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1055,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1097,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1058,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1098,negated_conjecture,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_conjecture_3,
[final] ).
cnf(i_0_1099,plain,
( c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1059,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1100,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1060,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1101,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1061,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1102,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1062,c_0_1057]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1103,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1063,c_0_1057]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1104,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1064,c_0_1057]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1105,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
cls_CHAINED_1,
[final] ).
cnf(i_0_1106,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1065,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1107,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1066,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1108,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1067,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1109,plain,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1068,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1110,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1069,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1111,axiom,
c_HOL_Ominus__class_Ominus(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X1,X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_lemma__MVT_0,
[final] ).
cnf(i_0_1112,plain,
( c_lessequals(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1070,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1113,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1071,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1114,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_abs__sum__triangle__ineq_0,
[final] ).
cnf(i_0_1115,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1072,c_0_1056]),c_0_1056]),c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1116,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1073,c_0_1056]),c_0_1057]),
[final] ).
cnf(i_0_1117,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1074,c_0_1056]),c_0_1057]),
[final] ).
cnf(i_0_1118,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_e2_0,
[final] ).
cnf(i_0_1119,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),X5,X1),X1),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Oprod__diff__prod_0,
[final] ).
cnf(i_0_1120,axiom,
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_that_0,
[final] ).
cnf(i_0_1121,axiom,
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_that_1,
[final] ).
cnf(i_0_1122,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1075,c_0_1056]),c_0_1057]),
[final] ).
cnf(i_0_1123,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X1,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X4,X1,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
cls_poly__cont_1,
[final] ).
cnf(i_0_1124,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__diff__triangle__ineq_0,
[final] ).
cnf(i_0_1125,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1),X1),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X4,X1),X1),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__diff__triangle__ineq_0,
[final] ).
cnf(i_0_1126,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X6,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X5,X1),X6,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X4,X1),X6,X1),X5,X1),X1)
| ~ class_RealVector_Oreal__field(X1) ),
cls_DERIV__mult__lemma_0,
[final] ).
cnf(i_0_1127,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1076,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1128,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
cls_less__add__iff1_1,
[final] ).
cnf(i_0_1129,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
cls_le__add__iff1_1,
[final] ).
cnf(i_0_1130,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
cls_less__add__iff2_1,
[final] ).
cnf(i_0_1131,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
cls_le__add__iff2_1,
[final] ).
cnf(i_0_1132,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
cls_less__add__iff1_0,
[final] ).
cnf(i_0_1133,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
cls_le__add__iff1_0,
[final] ).
cnf(i_0_1134,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
cls_less__add__iff2_0,
[final] ).
cnf(i_0_1135,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
cls_le__add__iff2_0,
[final] ).
cnf(i_0_1136,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1077,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1137,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1078,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1138,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[i_0_1079,c_0_1057]),
[final] ).
cnf(i_0_1139,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1080,c_0_1057]),c_0_1057]),
[final] ).
cnf(i_0_1140,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[i_0_1081,c_0_1057]),
[final] ).
cnf(i_0_1141,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(rw,[status(thm)],[i_0_1082,c_0_1057]),
[final] ).
cnf(i_0_1142,plain,
c_Transcendental_Ocos(X1) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(rw,[status(thm)],[i_0_1083,c_0_1057]),
[final] ).
cnf(i_0_1143,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[i_0_1084,c_0_1057]),
[final] ).
cnf(i_0_1144,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_e_0,
[final] ).
cnf(i_0_1145,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[i_0_1085,c_0_1057]),
[final] ).
cnf(i_0_1146,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[i_0_1086,c_0_1057]),
[final] ).
cnf(i_0_1147,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[i_0_1087,c_0_1057]),
[final] ).
cnf(i_0_1148,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_cos__gt__zero__pi_0,
[final] ).
cnf(i_0_1149,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_cos__ge__zero_0,
[final] ).
cnf(i_0_1150,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__le__add__half__cancel_0,
[final] ).
cnf(i_0_1151,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
cls_real__sqrt__mult__self__sum__ge__zero_0,
[final] ).
cnf(i_0_1152,axiom,
c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
cls_le__real__sqrt__sumsq_0,
[final] ).
cnf(i_0_1153,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
cls_sum__squares__gt__zero__iff_0,
[final] ).
cnf(i_0_1154,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[i_0_1088,c_0_1057]),
[final] ).
cnf(i_0_1155,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_eq__add__iff2_1,
[final] ).
cnf(i_0_1156,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_eq__add__iff1_1,
[final] ).
cnf(i_0_1157,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1089,c_0_1056]),c_0_1057]),
[final] ).
cnf(i_0_1158,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Transcendental_Opi),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1090,c_0_1056]),c_0_1057]),
[final] ).
cnf(i_0_1159,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__less__eq__number__of1_8,
[final] ).
cnf(i_0_1160,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__le__eq__number__of1_8,
[final] ).
cnf(i_0_1161,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_less__divide__eq__number__of1_8,
[final] ).
cnf(i_0_1162,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_le__divide__eq__number__of1_8,
[final] ).
cnf(i_0_1163,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__less__eq__number__of_9,
[final] ).
cnf(i_0_1164,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__le__eq__number__of_9,
[final] ).
cnf(i_0_1165,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_less__divide__eq__number__of_9,
[final] ).
cnf(i_0_1166,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_le__divide__eq__number__of_9,
[final] ).
cnf(i_0_1167,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__less__eq__number__of1_9,
[final] ).
cnf(i_0_1168,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__le__eq__number__of1_9,
[final] ).
cnf(i_0_1169,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_less__divide__eq__number__of1_9,
[final] ).
cnf(i_0_1170,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_le__divide__eq__number__of1_9,
[final] ).
cnf(i_0_1171,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| X5 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_diff__frac__eq_0,
[final] ).
cnf(i_0_1172,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| X5 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_add__frac__eq_0,
[final] ).
cnf(i_0_1173,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__less__eq__number__of_8,
[final] ).
cnf(i_0_1174,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__le__eq__number__of_8,
[final] ).
cnf(i_0_1175,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_less__divide__eq__number__of_8,
[final] ).
cnf(i_0_1176,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_le__divide__eq__number__of_8,
[final] ).
cnf(i_0_1177,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__le__add__half__cancel_1,
[final] ).
cnf(i_0_1178,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_sum__squares__le__zero__iff_0,
[final] ).
cnf(i_0_1179,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_sum__squares__le__zero__iff_1,
[final] ).
cnf(i_0_1180,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__sum__squares__lt__zero_0,
[final] ).
cnf(i_0_1181,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[i_0_1091,c_0_1057]),
[final] ).
cnf(i_0_1182,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1) = X6
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
cls_eq__add__iff1_0,
[final] ).
cnf(i_0_1183,axiom,
( X4 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1)
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
cls_eq__add__iff2_0,
[final] ).
cnf(i_0_1184,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1),X5,X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
cls_combine__common__factor_0,
[final] ).
cnf(i_0_1185,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_class__ringb_Onoteq__reduce_0,
[final] ).
cnf(i_0_1186,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_class__ringb_Oadd__mul__solve_0,
[final] ).
cnf(i_0_1187,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X4,X1),X2,X1) ),
cls_abs__diff__less__iff_2,
[final] ).
cnf(i_0_1188,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__less__eq__number__of1_4,
[final] ).
cnf(i_0_1189,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__less__eq__number__of1_1,
[final] ).
cnf(i_0_1190,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__le__eq__number__of1_4,
[final] ).
cnf(i_0_1191,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__le__eq__number__of1_1,
[final] ).
cnf(i_0_1192,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
cls_less__divide__eq__number__of1_4,
[final] ).
cnf(i_0_1193,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
cls_less__divide__eq__number__of1_1,
[final] ).
cnf(i_0_1194,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
cls_le__divide__eq__number__of1_4,
[final] ).
cnf(i_0_1195,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
cls_le__divide__eq__number__of1_1,
[final] ).
cnf(i_0_1196,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__less__eq_9,
[final] ).
cnf(i_0_1197,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__le__eq_9,
[final] ).
cnf(i_0_1198,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__less__eq_8,
[final] ).
cnf(i_0_1199,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__le__eq_8,
[final] ).
cnf(i_0_1200,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_less__divide__eq_9,
[final] ).
cnf(i_0_1201,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_less__divide__eq_8,
[final] ).
cnf(i_0_1202,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_le__divide__eq_8,
[final] ).
cnf(i_0_1203,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_le__divide__eq_9,
[final] ).
cnf(i_0_1204,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__less__eq__number__of1_7,
[final] ).
cnf(i_0_1205,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__le__eq__number__of1_7,
[final] ).
cnf(i_0_1206,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_less__divide__eq__number__of1_7,
[final] ).
cnf(i_0_1207,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_le__divide__eq__number__of1_7,
[final] ).
cnf(i_0_1208,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__less__eq__number__of1_5,
[final] ).
cnf(i_0_1209,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__le__eq__number__of1_5,
[final] ).
cnf(i_0_1210,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
cls_less__divide__eq__number__of1_5,
[final] ).
cnf(i_0_1211,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1) ),
cls_le__divide__eq__number__of1_5,
[final] ).
cnf(i_0_1212,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__triangle__ineq3_0,
[final] ).
cnf(i_0_1213,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
cls_divide__less__eq__number__of_5,
[final] ).
cnf(i_0_1214,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
cls_divide__le__eq__number__of_5,
[final] ).
cnf(i_0_1215,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
cls_less__divide__eq__number__of_5,
[final] ).
cnf(i_0_1216,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
cls_le__divide__eq__number__of_5,
[final] ).
cnf(i_0_1217,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__less__eq__number__of_7,
[final] ).
cnf(i_0_1218,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__le__eq__number__of_7,
[final] ).
cnf(i_0_1219,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_less__divide__eq__number__of_7,
[final] ).
cnf(i_0_1220,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_le__divide__eq__number__of_7,
[final] ).
cnf(i_0_1221,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__triangle__ineq3_0,
[final] ).
cnf(i_0_1222,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_gt__half__sum_0,
[final] ).
cnf(i_0_1223,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__half__sum_0,
[final] ).
cnf(i_0_1224,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_divide__left__mono__neg_0,
[final] ).
cnf(i_0_1225,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_divide__strict__left__mono_0,
[final] ).
cnf(i_0_1226,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_divide__left__mono_0,
[final] ).
cnf(i_0_1227,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_divide__strict__left__mono__neg_0,
[final] ).
cnf(i_0_1228,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__less__eq__number__of1_6,
[final] ).
cnf(i_0_1229,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_less__divide__eq__number__of1_0,
[final] ).
cnf(i_0_1230,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_divide__le__eq__number__of1_6,
[final] ).
cnf(i_0_1231,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_le__divide__eq__number__of1_0,
[final] ).
cnf(i_0_1232,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_less__divide__eq__number__of1_6,
[final] ).
cnf(i_0_1233,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_divide__less__eq__number__of1_0,
[final] ).
cnf(i_0_1234,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_le__divide__eq__number__of1_6,
[final] ).
cnf(i_0_1235,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X3,X1) ),
cls_divide__le__eq__number__of1_0,
[final] ).
cnf(i_0_1236,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
cls_divide__less__eq__number__of_4,
[final] ).
cnf(i_0_1237,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X2,X1) ),
cls_divide__le__eq__number__of_4,
[final] ).
cnf(i_0_1238,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
cls_less__divide__eq__number__of_4,
[final] ).
cnf(i_0_1239,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1) ),
cls_le__divide__eq__number__of_4,
[final] ).
cnf(i_0_1240,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__le__zero__iff_2,
[final] ).
cnf(i_0_1241,axiom,
c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_cos__3over2__pi_0,
[final] ).
cnf(i_0_1242,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
cls_divide__less__eq__number__of_1,
[final] ).
cnf(i_0_1243,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
cls_divide__le__eq__number__of_1,
[final] ).
cnf(i_0_1244,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
cls_less__divide__eq__number__of_1,
[final] ).
cnf(i_0_1245,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
cls_le__divide__eq__number__of_1,
[final] ).
cnf(i_0_1246,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__average__minus__first_0,
[final] ).
cnf(i_0_1247,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__average__minus__second_0,
[final] ).
cnf(i_0_1248,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),
cls_eq__divide__2__times__iff_0,
[final] ).
cnf(i_0_1249,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X1),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),X4,tc_RealDef_Oreal) ),
cls_norm__add__less_0,
[final] ).
cnf(i_0_1250,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X1)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X1),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),X4,tc_RealDef_Oreal) ),
cls_norm__mult__less_0,
[final] ).
cnf(i_0_1251,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I15_J_0,
[final] ).
cnf(i_0_1252,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I14_J_0,
[final] ).
cnf(i_0_1253,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__less__eq__number__of_6,
[final] ).
cnf(i_0_1254,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1),X1) ),
cls_divide__le__eq__number__of_6,
[final] ).
cnf(i_0_1255,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_less__divide__eq__number__of_6,
[final] ).
cnf(i_0_1256,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X3,X1) ),
cls_le__divide__eq__number__of_6,
[final] ).
cnf(i_0_1257,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X5,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_frac__less2_0,
[final] ).
cnf(i_0_1258,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X5,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_frac__less_0,
[final] ).
cnf(i_0_1259,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__strict__mono_0,
[final] ).
cnf(i_0_1260,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__strict__mono_H_0,
[final] ).
cnf(i_0_1261,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__le__less__imp__less_0,
[final] ).
cnf(i_0_1262,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__less__le__imp__less_0,
[final] ).
cnf(i_0_1263,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X5,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_frac__le_0,
[final] ).
cnf(i_0_1264,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__mono_H_0,
[final] ).
cnf(i_0_1265,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__mono_0,
[final] ).
cnf(i_0_1266,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X1),X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1) ),
cls_abs__mult__less_0,
[final] ).
cnf(i_0_1267,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X2,X1),X1),X3,X1) ),
cls_abs__diff__less__iff_0,
[final] ).
cnf(i_0_1268,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1) ),
cls_abs__diff__less__iff_1,
[final] ).
cnf(i_0_1269,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_less__divide__eq__number__of_0,
[final] ).
cnf(i_0_1270,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_le__divide__eq__number__of_0,
[final] ).
cnf(i_0_1271,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) ),
cls_divide__less__eq__number__of_0,
[final] ).
cnf(i_0_1272,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) ),
cls_divide__le__eq__number__of_0,
[final] ).
cnf(i_0_1273,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__gt__zero__iff_1,
[final] ).
cnf(i_0_1274,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__gt__zero__iff_2,
[final] ).
cnf(i_0_1275,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__ge__zero_0,
[final] ).
cnf(i_0_1276,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__less__eq__number__of1_2,
[final] ).
cnf(i_0_1277,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X2,X1) ),
cls_divide__le__eq__number__of1_2,
[final] ).
cnf(i_0_1278,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_less__divide__eq__number__of1_2,
[final] ).
cnf(i_0_1279,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X1) ),
cls_le__divide__eq__number__of1_2,
[final] ).
cnf(i_0_1280,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
cls_divide__less__eq_5,
[final] ).
cnf(i_0_1281,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
cls_divide__le__eq_5,
[final] ).
cnf(i_0_1282,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
cls_divide__less__eq_4,
[final] ).
cnf(i_0_1283,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
cls_divide__less__eq_1,
[final] ).
cnf(i_0_1284,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
cls_divide__le__eq_4,
[final] ).
cnf(i_0_1285,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
cls_divide__le__eq_1,
[final] ).
cnf(i_0_1286,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_less__divide__eq_5,
[final] ).
cnf(i_0_1287,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_less__divide__eq_4,
[final] ).
cnf(i_0_1288,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
cls_less__divide__eq_1,
[final] ).
cnf(i_0_1289,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_le__divide__eq_4,
[final] ).
cnf(i_0_1290,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_le__divide__eq_5,
[final] ).
cnf(i_0_1291,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
cls_le__divide__eq_1,
[final] ).
cnf(i_0_1292,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__less__eq_7,
[final] ).
cnf(i_0_1293,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__le__eq_7,
[final] ).
cnf(i_0_1294,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_less__divide__eq_7,
[final] ).
cnf(i_0_1295,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_le__divide__eq_7,
[final] ).
cnf(i_0_1296,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
cls_mult__right__less__imp__less_0,
[final] ).
cnf(i_0_1297,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_mult__left__less__imp__less_0,
[final] ).
cnf(i_0_1298,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
cls_mult__less__imp__less__right_0,
[final] ).
cnf(i_0_1299,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_mult__less__imp__less__left_0,
[final] ).
cnf(i_0_1300,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_mult__less__cancel__left__pos_0,
[final] ).
cnf(i_0_1301,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
cls_mult__right__le__imp__le_0,
[final] ).
cnf(i_0_1302,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_mult__left__le__imp__le_0,
[final] ).
cnf(i_0_1303,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_mult__le__cancel__left__pos_0,
[final] ).
cnf(i_0_1304,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__left__neg_0,
[final] ).
cnf(i_0_1305,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__cancel__left__neg_0,
[final] ).
cnf(i_0_1306,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__sum__square__gt__zero_0,
[final] ).
cnf(i_0_1307,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__sum__square__gt__zero2_0,
[final] ).
cnf(i_0_1308,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__mult__self__sum__ge__zero_0,
[final] ).
cnf(i_0_1309,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ class_Int_Onumber(X1) ),
cls_left__diff__distrib__number__of_0,
[final] ).
cnf(i_0_1310,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X1),X1),c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| ~ class_Ring__and__Field_Osemiring(X1)
| ~ class_Int_Onumber(X1) ),
cls_left__distrib__number__of_0,
[final] ).
cnf(i_0_1311,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oring(X1)
| ~ class_Int_Onumber(X1) ),
cls_right__diff__distrib__number__of_0,
[final] ).
cnf(i_0_1312,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Osemiring(X1)
| ~ class_Int_Onumber(X1) ),
cls_right__distrib__number__of_0,
[final] ).
cnf(i_0_1313,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_add__frac__num_0,
[final] ).
cnf(i_0_1314,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1),X4,X1)
| X4 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_add__num__frac_0,
[final] ).
cnf(i_0_1315,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
cls_real__mult__less__iff1_0,
[final] ).
cnf(i_0_1316,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
cls_real__mult__le__cancel__iff1_0,
[final] ).
cnf(i_0_1317,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
cls_real__mult__le__cancel__iff2_0,
[final] ).
cnf(i_0_1318,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__left__disj_0,
[final] ).
cnf(i_0_1319,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__right__disj_0,
[final] ).
cnf(i_0_1320,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_mult__frac__frac_0,
[final] ).
cnf(i_0_1321,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Onoteq__reduce_1,
[final] ).
cnf(i_0_1322,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Oadd__mul__solve_1,
[final] ).
cnf(i_0_1323,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__right__disj_1,
[final] ).
cnf(i_0_1324,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__left__disj_1,
[final] ).
cnf(i_0_1325,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__left__disj_2,
[final] ).
cnf(i_0_1326,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__right__disj_2,
[final] ).
cnf(i_0_1327,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_Deriv_Oadd__diff__add_0,
[final] ).
cnf(i_0_1328,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I20_J_0,
[final] ).
cnf(i_0_1329,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I13_J_0,
[final] ).
cnf(i_0_1330,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
cls_real__gt__half__sum_0,
[final] ).
cnf(i_0_1331,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
cls_real__less__half__sum_0,
[final] ).
cnf(i_0_1332,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_cos__gt__zero_0,
[final] ).
cnf(i_0_1333,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__right__disj_3,
[final] ).
cnf(i_0_1334,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__left__disj_3,
[final] ).
cnf(i_0_1335,axiom,
( X4 = X5
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X5,X1),X1) ),
cls_class__ringb_Oadd__scale__eq__noteq_0,
[final] ).
cnf(i_0_1336,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__less__eq_6,
[final] ).
cnf(i_0_1337,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_less__divide__eq_0,
[final] ).
cnf(i_0_1338,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_divide__le__eq_6,
[final] ).
cnf(i_0_1339,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_le__divide__eq_0,
[final] ).
cnf(i_0_1340,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_less__divide__eq_6,
[final] ).
cnf(i_0_1341,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
cls_divide__less__eq_0,
[final] ).
cnf(i_0_1342,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
cls_le__divide__eq_6,
[final] ).
cnf(i_0_1343,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
cls_divide__le__eq_0,
[final] ).
cnf(i_0_1344,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_less__divide__eq__number__of_2,
[final] ).
cnf(i_0_1345,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_le__divide__eq__number__of_2,
[final] ).
cnf(i_0_1346,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
cls_divide__less__eq__number__of_2,
[final] ).
cnf(i_0_1347,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
cls_divide__le__eq__number__of_2,
[final] ).
cnf(i_0_1348,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__imp__div__pos__less_0,
[final] ).
cnf(i_0_1349,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__imp__div__pos__le_0,
[final] ).
cnf(i_0_1350,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_mult__imp__less__div__pos_0,
[final] ).
cnf(i_0_1351,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_mult__imp__le__div__pos_0,
[final] ).
cnf(i_0_1352,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__triangle__ineq2_0,
[final] ).
cnf(i_0_1353,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__triangle__ineq4_0,
[final] ).
cnf(i_0_1354,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__triangle__ineq_0,
[final] ).
cnf(i_0_1355,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)
| ~ class_Ring__and__Field_Olordered__ring(X1) ),
cls_abs__le__mult_0,
[final] ).
cnf(i_0_1356,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X5,X4,X1)
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
cls_le__add__right__mono_0,
[final] ).
cnf(i_0_1357,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__triangle__ineq2_0,
[final] ).
cnf(i_0_1358,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__diff__ineq_0,
[final] ).
cnf(i_0_1359,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__triangle__ineq4_0,
[final] ).
cnf(i_0_1360,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__triangle__ineq_0,
[final] ).
cnf(i_0_1361,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_norm__mult__ineq_0,
[final] ).
cnf(i_0_1362,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[i_0_1092,c_0_1057]),
[final] ).
cnf(i_0_1363,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_divide__less__eq__number__of1_3,
[final] ).
cnf(i_0_1364,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_divide__le__eq__number__of1_3,
[final] ).
cnf(i_0_1365,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__divide__eq__number__of1_3,
[final] ).
cnf(i_0_1366,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X4,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__divide__eq__number__of1_3,
[final] ).
cnf(i_0_1367,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
cls_half__gt__zero__iff_0,
[final] ).
cnf(i_0_1368,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
cls_cos__periodic_0,
[final] ).
cnf(i_0_1369,plain,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[i_0_1093,c_0_1057]),
[final] ).
cnf(i_0_1370,axiom,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
cls_eq__divide__2__times__iff_1,
[final] ).
cnf(i_0_1371,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
cls_add__less__cancel__right_0,
[final] ).
cnf(i_0_1372,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
cls_add__less__cancel__left_0,
[final] ).
cnf(i_0_1373,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
cls_add__le__cancel__right_0,
[final] ).
cnf(i_0_1374,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
cls_add__le__cancel__left_0,
[final] ).
cnf(i_0_1375,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X4,X1),X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1) ),
cls_estimate__by__abs_0,
[final] ).
cnf(i_0_1376,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__45_0,
[final] ).
cnf(i_0_1377,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__30_0,
[final] ).
cnf(i_0_1378,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Otimes__class_Otimes(X3,c_RealVector_Onorm__class_Onorm(X4,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_norm__ratiotest__lemma_0,
[final] ).
cnf(i_0_1379,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_minus__pi__half__less__zero_0,
[final] ).
cnf(i_0_1380,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) ),
cls_divide__less__eq__number__of_3,
[final] ).
cnf(i_0_1381,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X4,X1),X1) ),
cls_divide__le__eq__number__of_3,
[final] ).
cnf(i_0_1382,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__divide__eq__number__of_3,
[final] ).
cnf(i_0_1383,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__divide__eq__number__of_3,
[final] ).
cnf(i_0_1384,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
cls_m2pi__less__pi_0,
[final] ).
cnf(i_0_1385,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_divide__right__mono_0,
[final] ).
cnf(i_0_1386,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_divide__right__mono__neg_0,
[final] ).
cnf(i_0_1387,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_divide__strict__right__mono_0,
[final] ).
cnf(i_0_1388,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_mult__strict__left__mono__comm_0,
[final] ).
cnf(i_0_1389,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_mult__strict__left__mono_0,
[final] ).
cnf(i_0_1390,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__less__cancel__left__disj_4,
[final] ).
cnf(i_0_1391,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__less__cancel__left__pos_1,
[final] ).
cnf(i_0_1392,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__strict__right__mono_0,
[final] ).
cnf(i_0_1393,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__less__cancel__right__disj_4,
[final] ).
cnf(i_0_1394,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_mult__mono1_0,
[final] ).
cnf(i_0_1395,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_mult__left__mono_0,
[final] ).
cnf(i_0_1396,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__le__cancel__left__pos_1,
[final] ).
cnf(i_0_1397,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__right__mono_0,
[final] ).
cnf(i_0_1398,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
cls_divide__strict__right__mono__neg_0,
[final] ).
cnf(i_0_1399,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__left__disj_5,
[final] ).
cnf(i_0_1400,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_mult__strict__left__mono__neg_0,
[final] ).
cnf(i_0_1401,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__left__neg_1,
[final] ).
cnf(i_0_1402,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__right__disj_5,
[final] ).
cnf(i_0_1403,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
cls_mult__strict__right__mono__neg_0,
[final] ).
cnf(i_0_1404,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_mult__left__mono__neg_0,
[final] ).
cnf(i_0_1405,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__cancel__left__neg_1,
[final] ).
cnf(i_0_1406,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_mult__right__mono__neg_0,
[final] ).
cnf(i_0_1407,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__right__le__one__le_0,
[final] ).
cnf(i_0_1408,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__left__le__one__le_0,
[final] ).
cnf(i_0_1409,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
cls_divide__less__eq_2,
[final] ).
cnf(i_0_1410,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
cls_divide__le__eq_2,
[final] ).
cnf(i_0_1411,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_less__divide__eq_2,
[final] ).
cnf(i_0_1412,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
cls_le__divide__eq_2,
[final] ).
cnf(i_0_1413,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
cls_real__sum__of__halves_0,
[final] ).
cnf(i_0_1414,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__strict__mono_0,
[final] ).
cnf(i_0_1415,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__le__less__mono_0,
[final] ).
cnf(i_0_1416,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__less__le__mono_0,
[final] ).
cnf(i_0_1417,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__mono_0,
[final] ).
cnf(i_0_1418,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_rabs__ratiotest__lemma_0,
[final] ).
cnf(i_0_1419,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_lemma__real__divide__sqrt__less_0,
[final] ).
cnf(i_0_1420,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_sum__squares__eq__zero__iff_0,
[final] ).
cnf(i_0_1421,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_sum__squares__eq__zero__iff_1,
[final] ).
cnf(i_0_1422,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I1_J_0,
[final] ).
cnf(i_0_1423,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
cls_divide_Odiff_0,
[final] ).
cnf(i_0_1424,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_diff__divide__distrib_0,
[final] ).
cnf(i_0_1425,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
cls_divide_Oadd_0,
[final] ).
cnf(i_0_1426,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_add__divide__distrib_0,
[final] ).
cnf(i_0_1427,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__left_Odiff_0,
[final] ).
cnf(i_0_1428,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Odiff__left_0,
[final] ).
cnf(i_0_1429,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__left_Oadd_0,
[final] ).
cnf(i_0_1430,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Oadd__left_0,
[final] ).
cnf(i_0_1431,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
cls_comm__semiring__class_Odistrib_0,
[final] ).
cnf(i_0_1432,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I8_J_0,
[final] ).
cnf(i_0_1433,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Odiff__right_0,
[final] ).
cnf(i_0_1434,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__right_Odiff_0,
[final] ).
cnf(i_0_1435,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__right_Oadd_0,
[final] ).
cnf(i_0_1436,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Oadd__right_0,
[final] ).
cnf(i_0_1437,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__d_0,
[final] ).
cnf(i_0_1438,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__mult__less__mono2_0,
[final] ).
cnf(i_0_1439,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__mult__less__iff1_1,
[final] ).
cnf(i_0_1440,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__mult__le__cancel__iff2_1,
[final] ).
cnf(i_0_1441,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__mult__le__cancel__iff1_1,
[final] ).
cnf(i_0_1442,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
cls_zero__less__mult__pos2_0,
[final] ).
cnf(i_0_1443,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
cls_zero__less__mult__pos_0,
[final] ).
cnf(i_0_1444,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_abs__eq__mult_0,
[final] ).
cnf(i_0_1445,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__eq__mult_2,
[final] ).
cnf(i_0_1446,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_abs__eq__mult_1,
[final] ).
cnf(i_0_1447,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__eq__mult_3,
[final] ).
cnf(i_0_1448,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__sum__squares__cancel_0,
[final] ).
cnf(i_0_1449,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__sum__squares__cancel2_0,
[final] ).
cnf(i_0_1450,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__add__mult__distrib_0,
[final] ).
cnf(i_0_1451,axiom,
( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
cls_add__cancel__21_0,
[final] ).
cnf(i_0_1452,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__iff_1,
[final] ).
cnf(i_0_1453,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__iff_1,
[final] ).
cnf(i_0_1454,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__iff_0,
[final] ).
cnf(i_0_1455,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__iff_3,
[final] ).
cnf(i_0_1456,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__iff_0,
[final] ).
cnf(i_0_1457,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__iff_3,
[final] ).
cnf(i_0_1458,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
cls_zero__less__divide__iff_0,
[final] ).
cnf(i_0_1459,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
cls_zero__less__divide__iff_3,
[final] ).
cnf(i_0_1460,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
cls_zero__less__divide__iff_2,
[final] ).
cnf(i_0_1461,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
cls_zero__less__divide__iff_1,
[final] ).
cnf(i_0_1462,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
cls_zero__le__divide__iff_0,
[final] ).
cnf(i_0_1463,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
cls_zero__le__divide__iff_3,
[final] ).
cnf(i_0_1464,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
cls_zero__le__divide__iff_2,
[final] ).
cnf(i_0_1465,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
cls_zero__le__divide__iff_1,
[final] ).
cnf(i_0_1466,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__iff_2,
[final] ).
cnf(i_0_1467,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__iff_2,
[final] ).
cnf(i_0_1468,negated_conjecture,
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_conjecture_1,
[final] ).
cnf(i_0_1469,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_divide__less__eq_3,
[final] ).
cnf(i_0_1470,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_divide__le__eq_3,
[final] ).
cnf(i_0_1471,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__divide__eq_3,
[final] ).
cnf(i_0_1472,axiom,
( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__divide__eq_3,
[final] ).
cnf(i_0_1473,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_1,
[final] ).
cnf(i_0_1474,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_0,
[final] ).
cnf(i_0_1475,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_3,
[final] ).
cnf(i_0_1476,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
cls_zero__le__mult__iff_0,
[final] ).
cnf(i_0_1477,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
cls_zero__le__mult__iff_3,
[final] ).
cnf(i_0_1478,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
cls_zero__le__mult__iff_2,
[final] ).
cnf(i_0_1479,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
cls_zero__le__mult__iff_1,
[final] ).
cnf(i_0_1480,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_2,
[final] ).
cnf(i_0_1481,negated_conjecture,
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_conjecture_2,
[final] ).
cnf(i_0_1482,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__minus__mult__self__le_0,
[final] ).
cnf(i_0_1483,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_half__gt__zero_0,
[final] ).
cnf(i_0_1484,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sum__gt__zero__less_0,
[final] ).
cnf(i_0_1485,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__iff_5,
[final] ).
cnf(i_0_1486,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_divide__less__0__iff_4,
[final] ).
cnf(i_0_1487,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__iff_5,
[final] ).
cnf(i_0_1488,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_divide__le__0__iff_4,
[final] ).
cnf(i_0_1489,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__less__divide__iff_4,
[final] ).
cnf(i_0_1490,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__divide__iff_4,
[final] ).
cnf(i_0_1491,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_zero__less__divide__iff_5,
[final] ).
cnf(i_0_1492,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_zero__le__divide__iff_5,
[final] ).
cnf(i_0_1493,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__neg__pos_0,
[final] ).
cnf(i_0_1494,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_divide__pos__neg_0,
[final] ).
cnf(i_0_1495,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__pos__neg2_0,
[final] ).
cnf(i_0_1496,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__neg__pos_0,
[final] ).
cnf(i_0_1497,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__pos__neg_0,
[final] ).
cnf(i_0_1498,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_divide__nonneg__neg_0,
[final] ).
cnf(i_0_1499,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__nonpos__pos_0,
[final] ).
cnf(i_0_1500,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_split__mult__neg__le_1,
[final] ).
cnf(i_0_1501,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__nonpos__nonneg_0,
[final] ).
cnf(i_0_1502,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__nonneg__nonpos2_0,
[final] ).
cnf(i_0_1503,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_split__mult__neg__le_0,
[final] ).
cnf(i_0_1504,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__nonneg__nonpos_0,
[final] ).
cnf(i_0_1505,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_5,
[final] ).
cnf(i_0_1506,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__le__0__iff_4,
[final] ).
cnf(i_0_1507,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__neg__neg_0,
[final] ).
cnf(i_0_1508,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__nonpos__neg_0,
[final] ).
cnf(i_0_1509,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__neg__nonpos_0,
[final] ).
cnf(i_0_1510,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__nonpos__nonpos_0,
[final] ).
cnf(i_0_1511,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1) ),
cls_less__1__mult_0,
[final] ).
cnf(i_0_1512,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_divide__pos__pos_0,
[final] ).
cnf(i_0_1513,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__pos__pos_0,
[final] ).
cnf(i_0_1514,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__pos_0,
[final] ).
cnf(i_0_1515,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__pos__nonneg_0,
[final] ).
cnf(i_0_1516,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__pos__pos_0,
[final] ).
cnf(i_0_1517,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_divide__nonneg__pos_0,
[final] ).
cnf(i_0_1518,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__nonneg_0,
[final] ).
cnf(i_0_1519,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_split__mult__pos__le_0,
[final] ).
cnf(i_0_1520,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__nonneg__nonneg_0,
[final] ).
cnf(i_0_1521,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__mult__iff_4,
[final] ).
cnf(i_0_1522,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__neg__neg_0,
[final] ).
cnf(i_0_1523,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__neg__neg_0,
[final] ).
cnf(i_0_1524,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__nonpos__neg_0,
[final] ).
cnf(i_0_1525,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_split__mult__pos__le_1,
[final] ).
cnf(i_0_1526,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__nonpos__nonpos_0,
[final] ).
cnf(i_0_1527,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_zero__le__mult__iff_5,
[final] ).
cnf(i_0_1528,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__0__le__divide__iff_1,
[final] ).
cnf(i_0_1529,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__0__le__divide__iff_0,
[final] ).
cnf(i_0_1530,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_add__strict__left__mono_0,
[final] ).
cnf(i_0_1531,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_add__less__cancel__left_1,
[final] ).
cnf(i_0_1532,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__strict__right__mono_0,
[final] ).
cnf(i_0_1533,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__less__cancel__right_1,
[final] ).
cnf(i_0_1534,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_add__le__cancel__left_1,
[final] ).
cnf(i_0_1535,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_add__left__mono_0,
[final] ).
cnf(i_0_1536,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__le__cancel__right_1,
[final] ).
cnf(i_0_1537,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__right__mono_0,
[final] ).
cnf(i_0_1538,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_add__strict__increasing2_0,
[final] ).
cnf(i_0_1539,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_add__strict__increasing_0,
[final] ).
cnf(i_0_1540,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_add__increasing2_0,
[final] ).
cnf(i_0_1541,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_add__increasing_0,
[final] ).
cnf(i_0_1542,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
cls_zero__less__divide__1__iff_0,
[final] ).
cnf(i_0_1543,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
cls_zero__le__divide__1__iff_0,
[final] ).
cnf(i_0_1544,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__1__iff_0,
[final] ).
cnf(i_0_1545,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__1__iff_0,
[final] ).
cnf(i_0_1546,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_cos__monotone__minus__pi__0_0,
[final] ).
cnf(i_0_1547,axiom,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_cos__monotone__minus__pi__0_H_0,
[final] ).
cnf(i_0_1548,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__eq__neg_1,
[final] ).
cnf(i_0_1549,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__minus__half__eq_0,
[final] ).
cnf(i_0_1550,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_pos__add__strict_0,
[final] ).
cnf(i_0_1551,axiom,
( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__div_0,
[final] ).
cnf(i_0_1552,axiom,
( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__mult_0,
[final] ).
cnf(i_0_1553,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
cls_le__number__of__eq__not__less_0,
[final] ).
cnf(i_0_1554,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
cls_real__add__left__mono_0,
[final] ).
cnf(i_0_1555,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_mult__divide__mult__cancel__left_0,
[final] ).
cnf(i_0_1556,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X4,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_mult__divide__mult__cancel__right_0,
[final] ).
cnf(i_0_1557,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I2_J_0,
[final] ).
cnf(i_0_1558,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X1),X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I3_J_0,
[final] ).
cnf(i_0_1559,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__add__abs_0,
[final] ).
cnf(i_0_1560,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__mult__order_0,
[final] ).
cnf(i_0_1561,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__0__le__divide__iff_4,
[final] ).
cnf(i_0_1562,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__0__le__divide__iff_2,
[final] ).
cnf(i_0_1563,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__0__le__divide__iff_5,
[final] ).
cnf(i_0_1564,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__0__le__divide__iff_3,
[final] ).
cnf(i_0_1565,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_mult__frac__num_0,
[final] ).
cnf(i_0_1566,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__less__cancel__iff_0,
[final] ).
cnf(i_0_1567,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__le__cancel__iff_0,
[final] ).
cnf(i_0_1568,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
cls_zero__less__double__add__iff__zero__less__single__add_0,
[final] ).
cnf(i_0_1569,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
cls_zero__le__double__add__iff__zero__le__single__add_0,
[final] ).
cnf(i_0_1570,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_even__less__0__iff_0,
[final] ).
cnf(i_0_1571,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__less__zero__iff__single__less__zero_0,
[final] ).
cnf(i_0_1572,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__le__zero__iff__single__add__le__zero_0,
[final] ).
cnf(i_0_1573,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I23_J_0,
[final] ).
cnf(i_0_1574,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I16_J_0,
[final] ).
cnf(i_0_1575,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,
[final] ).
cnf(i_0_1576,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__assoc_0,
[final] ).
cnf(i_0_1577,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I21_J_0,
[final] ).
cnf(i_0_1578,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,
[final] ).
cnf(i_0_1579,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I17_J_0,
[final] ).
cnf(i_0_1580,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I25_J_0,
[final] ).
cnf(i_0_1581,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__a_0,
[final] ).
cnf(i_0_1582,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I18_J_0,
[final] ).
cnf(i_0_1583,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__a_0,
[final] ).
cnf(i_0_1584,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_add__cancel__21_1,
[final] ).
cnf(i_0_1585,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__left__commute_0,
[final] ).
cnf(i_0_1586,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I22_J_0,
[final] ).
cnf(i_0_1587,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I19_J_0,
[final] ).
cnf(i_0_1588,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__eq__zero__iff_2,
[final] ).
cnf(i_0_1589,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__0__less__add__iff_0,
[final] ).
cnf(i_0_1590,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__0__le__add__iff_0,
[final] ).
cnf(i_0_1591,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__add__less__0__iff_0,
[final] ).
cnf(i_0_1592,axiom,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__add__le__0__iff_0,
[final] ).
cnf(i_0_1593,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__less__cancel__iff_1,
[final] ).
cnf(i_0_1594,axiom,
( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__le__cancel__iff_1,
[final] ).
cnf(i_0_1595,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__iff__diff__less__0_1,
[final] ).
cnf(i_0_1596,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__iff__diff__le__0_1,
[final] ).
cnf(i_0_1597,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_abs__minus__add__cancel_0,
[final] ).
cnf(i_0_1598,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1) ),
cls_less__eqI_1,
[final] ).
cnf(i_0_1599,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0,
[final] ).
cnf(i_0_1600,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_1601,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_1602,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_cos__monotone__0__pi_0,
[final] ).
cnf(i_0_1603,axiom,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_cos__monotone__0__pi_H_0,
[final] ).
cnf(i_0_1604,axiom,
c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
cls_real__divide__square__eq_0,
[final] ).
cnf(i_0_1605,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__mult__assoc_0,
[final] ).
cnf(i_0_1606,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_abs__div__pos_0,
[final] ).
cnf(i_0_1607,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__le__eq__diff_1,
[final] ).
cnf(i_0_1608,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_abs__mult__pos_0,
[final] ).
cnf(i_0_1609,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_half_0,
[final] ).
cnf(i_0_1610,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) ),
cls_le__eq__neg_0,
[final] ).
cnf(i_0_1611,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_abs__less__iff_2,
[final] ).
cnf(i_0_1612,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_abs__le__iff_2,
[final] ).
cnf(i_0_1613,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_abs__leI_0,
[final] ).
cnf(i_0_1614,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X5 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X5,X1) = c_HOL_Oinverse__class_Odivide(X4,X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Otimes__class_Otimes(X4,X5,X1) ),
cls_frac__eq__eq_1,
[final] ).
cnf(i_0_1615,axiom,
( X5 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Otimes__class_Otimes(X2,X5,X1) = c_HOL_Otimes__class_Otimes(X4,X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oinverse__class_Odivide(X4,X5,X1) ),
cls_frac__eq__eq_0,
[final] ).
cnf(i_0_1616,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__eq__0__iff_0,
[final] ).
cnf(i_0_1617,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__eq__0__iff_1,
[final] ).
cnf(i_0_1618,axiom,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__half__less__two_0,
[final] ).
cnf(i_0_1619,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__half__le__two_0,
[final] ).
cnf(i_0_1620,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__less__0__1__iff_1,
[final] ).
cnf(i_0_1621,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_divide__le__0__1__iff_1,
[final] ).
cnf(i_0_1622,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__less__divide__1__iff_1,
[final] ).
cnf(i_0_1623,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__divide__1__iff_1,
[final] ).
cnf(i_0_1624,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
cls_real__less__sum__gt__zero_0,
[final] ).
cnf(i_0_1625,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__two__squares__add__zero__iff_2,
[final] ).
cnf(i_0_1626,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_divide__eq__eq__number__of1_3,
[final] ).
cnf(i_0_1627,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1) = X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_eq__divide__eq__number__of1_0,
[final] ).
cnf(i_0_1628,axiom,
( X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_eq__divide__eq__number__of1_3,
[final] ).
cnf(i_0_1629,axiom,
( X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_divide__eq__eq__number__of1_0,
[final] ).
cnf(i_0_1630,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_abs__le__interval__iff_2,
[final] ).
cnf(i_0_1631,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__add__less__0__iff_1,
[final] ).
cnf(i_0_1632,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__add__le__0__iff_1,
[final] ).
cnf(i_0_1633,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__0__less__add__iff_1,
[final] ).
cnf(i_0_1634,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_real__0__le__add__iff_1,
[final] ).
cnf(i_0_1635,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_number__of__Bit0_0,
[final] ).
cnf(i_0_1636,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X2),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_number__of__Bit1_0,
[final] ).
cnf(i_0_1637,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X4,X1)
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != X3 ),
cls_add__cancel__end_0,
[final] ).
cnf(i_0_1638,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_divide__eq__eq__number__of_4,
[final] ).
cnf(i_0_1639,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_eq__divide__eq__number__of_4,
[final] ).
cnf(i_0_1640,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_divide__eq__eq__number__of1_4,
[final] ).
cnf(i_0_1641,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_eq__divide__eq__number__of1_4,
[final] ).
cnf(i_0_1642,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__square__less__zero_0,
[final] ).
cnf(i_0_1643,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_not__real__square__gt__zero_1,
[final] ).
cnf(i_0_1644,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_even__less__0__iff_1,
[final] ).
cnf(i_0_1645,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__less__zero__iff__single__less__zero_1,
[final] ).
cnf(i_0_1646,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__le__zero__iff__single__add__le__zero_1,
[final] ).
cnf(i_0_1647,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__less__double__add__iff__zero__less__single__add_1,
[final] ).
cnf(i_0_1648,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__double__add__iff__zero__le__single__add_1,
[final] ).
cnf(i_0_1649,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sum__squares__cancel__a_0,
[final] ).
cnf(i_0_1650,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sum__squares__cancel__a_1,
[final] ).
cnf(i_0_1651,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__iff__diff__less__0_0,
[final] ).
cnf(i_0_1652,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__diff__le__0_0,
[final] ).
cnf(i_0_1653,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_divide__eq__eq__number__of_3,
[final] ).
cnf(i_0_1654,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X3,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1) ),
cls_eq__divide__eq__number__of_3,
[final] ).
cnf(i_0_1655,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_poly__cont_0,
[final] ).
cnf(i_0_1656,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__half__gt__zero_0,
[final] ).
cnf(i_0_1657,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__half__ge__zero_0,
[final] ).
cnf(i_0_1658,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__minus__commute_0,
[final] ).
cnf(i_0_1659,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X1),X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__minus__commute_0,
[final] ).
cnf(i_0_1660,axiom,
( c_HOL_Oplus__class_Oplus(X2,X2,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I4_J_0,
[final] ).
cnf(i_0_1661,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
cls_real__le__eq__diff_0,
[final] ).
cnf(i_0_1662,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_abs__divide_0,
[final] ).
cnf(i_0_1663,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
cls_norm__divide_0,
[final] ).
cnf(i_0_1664,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
cls_nonzero__abs__divide_0,
[final] ).
cnf(i_0_1665,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_double__number__of__Bit0_0,
[final] ).
cnf(i_0_1666,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
cls_nonzero__norm__divide_0,
[final] ).
cnf(i_0_1667,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__trans_0,
[final] ).
cnf(i_0_1668,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__le__less__trans_0,
[final] ).
cnf(i_0_1669,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__le__trans_0,
[final] ).
cnf(i_0_1670,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0,
[final] ).
cnf(i_0_1671,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I7_J_0,
[final] ).
cnf(i_0_1672,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I8_J_0,
[final] ).
cnf(i_0_1673,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__trans_0,
[final] ).
cnf(i_0_1674,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I6_J_0,
[final] ).
cnf(i_0_1675,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_Lim_Ominus__diff__minus_0,
[final] ).
cnf(i_0_1676,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_abs__mult_0,
[final] ).
cnf(i_0_1677,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_minus__add__distrib_0,
[final] ).
cnf(i_0_1678,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__add_0,
[final] ).
cnf(i_0_1679,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
cls_norm__mult_0,
[final] ).
cnf(i_0_1680,axiom,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__number__of_0,
[final] ).
cnf(i_0_1681,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__less__iff__less_0,
[final] ).
cnf(i_0_1682,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__le__iff__le_0,
[final] ).
cnf(i_0_1683,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_Int_Onumber(X1) ),
cls_le__number__of__eq__not__less_1,
[final] ).
cnf(i_0_1684,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
cls_mult__left__idem_0,
[final] ).
cnf(i_0_1685,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1),X1) = X3
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_add__minus__cancel_0,
[final] ).
cnf(i_0_1686,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
cls_real__le__trans_0,
[final] ).
cnf(i_0_1687,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X1),X4,X1) = X3
| X4 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,X4,X1) ),
cls_eq__divide__eq__number__of_0,
[final] ).
cnf(i_0_1688,axiom,
( X2 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_Int_Onumber__class_Onumber__of(X4,X1) ),
cls_divide__eq__eq__number__of_0,
[final] ).
cnf(i_0_1689,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_minus__divide__right_0,
[final] ).
cnf(i_0_1690,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
cls_abs__less__iff_1,
[final] ).
cnf(i_0_1691,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__less__iff_0,
[final] ).
cnf(i_0_1692,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__less__iff_1,
[final] ).
cnf(i_0_1693,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
cls_abs__le__D2_0,
[final] ).
cnf(i_0_1694,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__le__iff_0,
[final] ).
cnf(i_0_1695,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__le__iff_1,
[final] ).
cnf(i_0_1696,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_less__minus__iff_0,
[final] ).
cnf(i_0_1697,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_less__minus__iff_1,
[final] ).
cnf(i_0_1698,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__iff_0,
[final] ).
cnf(i_0_1699,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__iff_1,
[final] ).
cnf(i_0_1700,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_nonzero__minus__divide__right_0,
[final] ).
cnf(i_0_1701,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
cls_divide_Ominus_0,
[final] ).
cnf(i_0_1702,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Ominus__left_0,
[final] ).
cnf(i_0_1703,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__left_Ominus_0,
[final] ).
cnf(i_0_1704,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Ominus__right_0,
[final] ).
cnf(i_0_1705,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__right_Ominus_0,
[final] ).
cnf(i_0_1706,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_minus__divide__left_0,
[final] ).
cnf(i_0_1707,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_minus__mult__left_0,
[final] ).
cnf(i_0_1708,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_minus__mult__right_0,
[final] ).
cnf(i_0_1709,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_neg__less__0__iff__less_0,
[final] ).
cnf(i_0_1710,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_neg__le__0__iff__le_0,
[final] ).
cnf(i_0_1711,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__0__less__iff__less_0,
[final] ).
cnf(i_0_1712,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__0__le__iff__le_0,
[final] ).
cnf(i_0_1713,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_less__le__not__le_2,
[final] ).
cnf(i_0_1714,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_cos__pi__half_0,
[final] ).
cnf(i_0_1715,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_neg__less__iff__less_1,
[final] ).
cnf(i_0_1716,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__imp__neg__le_0,
[final] ).
cnf(i_0_1717,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_zero__less__two_0,
[final] ).
cnf(i_0_1718,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X3,X1)
| X2 = X3
| ~ class_Ring__and__Field_Oidom(X1)
| c_HOL_Otimes__class_Otimes(X2,X2,X1) != c_HOL_Otimes__class_Otimes(X3,X3,X1) ),
cls_square__eq__iff_0,
[final] ).
cnf(i_0_1719,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_abs__le__interval__iff_0,
[final] ).
cnf(i_0_1720,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) = X3
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__add__cancel_0,
[final] ).
cnf(i_0_1721,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1) = X3
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_add__cancel__end_1,
[final] ).
cnf(i_0_1722,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
cls_neg__less__eq__nonneg_0,
[final] ).
cnf(i_0_1723,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
cls_minus__le__self__iff_0,
[final] ).
cnf(i_0_1724,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_less__minus__self__iff_0,
[final] ).
cnf(i_0_1725,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_less__eq__neg__nonpos_0,
[final] ).
cnf(i_0_1726,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__self__iff_0,
[final] ).
cnf(i_0_1727,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
cls_pi__half__neq__two_0,
[final] ).
cnf(i_0_1728,axiom,
( X1 = X2
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__inj__iff_0,
[final] ).
cnf(i_0_1729,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__eq__eq_4,
[final] ).
cnf(i_0_1730,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_eq__divide__eq_4,
[final] ).
cnf(i_0_1731,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_neg__less__0__iff__less_1,
[final] ).
cnf(i_0_1732,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_neg__le__0__iff__le_1,
[final] ).
cnf(i_0_1733,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_neg__0__less__iff__less_1,
[final] ).
cnf(i_0_1734,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_neg__0__le__iff__le_1,
[final] ).
cnf(i_0_1735,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
cls_abs__less__iff_0,
[final] ).
cnf(i_0_1736,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1) ),
cls_abs__le__D1_0,
[final] ).
cnf(i_0_1737,axiom,
( X3 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
cls_class__ringb_Oadd__cancel_0,
[final] ).
cnf(i_0_1738,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_neg__less__eq__nonneg_1,
[final] ).
cnf(i_0_1739,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_minus__le__self__iff_1,
[final] ).
cnf(i_0_1740,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__minus__self__iff_1,
[final] ).
cnf(i_0_1741,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__eq__neg__nonpos_1,
[final] ).
cnf(i_0_1742,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__minus__self__iff_1,
[final] ).
cnf(i_0_1743,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(cn,[status(thm)],[i_0_1094]),
[final] ).
cnf(i_0_1744,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_minus__diff__eq_0,
[final] ).
cnf(i_0_1745,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = X2
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__eq__eq_3,
[final] ).
cnf(i_0_1746,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1) = X2
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_eq__divide__eq_0,
[final] ).
cnf(i_0_1747,axiom,
( X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_eq__divide__eq_3,
[final] ).
cnf(i_0_1748,axiom,
( X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__eq__eq_0,
[final] ).
cnf(i_0_1749,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__antisym_0,
[final] ).
cnf(i_0_1750,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2,
[final] ).
cnf(i_0_1751,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0,
[final] ).
cnf(i_0_1752,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_less__add__one_0,
[final] ).
cnf(i_0_1753,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_1754,axiom,
( X2 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
cls_add__right__cancel_0,
[final] ).
cnf(i_0_1755,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_1756,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
cls_add__imp__eq_0,
[final] ).
cnf(i_0_1757,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
cls_add__left__cancel_0,
[final] ).
cnf(i_0_1758,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_0,
[final] ).
cnf(i_0_1759,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_H_0,
[final] ).
cnf(i_0_1760,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1,
[final] ).
cnf(i_0_1761,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_xt1_I9_J_0,
[final] ).
cnf(i_0_1762,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_not__less__iff__gr__or__eq_1,
[final] ).
cnf(i_0_1763,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__antisym__conv2_1,
[final] ).
cnf(i_0_1764,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_linorder__not__le_1,
[final] ).
cnf(i_0_1765,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_linorder__not__less_1,
[final] ).
cnf(i_0_1766,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_minus__divide__divide_0,
[final] ).
cnf(i_0_1767,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) = X3
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__eq__imp_0,
[final] ).
cnf(i_0_1768,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_eq__divide__imp_0,
[final] ).
cnf(i_0_1769,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_zero__le__square_0,
[final] ).
cnf(i_0_1770,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_nonzero__minus__divide__divide_0,
[final] ).
cnf(i_0_1771,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
cls_abs__le__interval__iff_1,
[final] ).
cnf(i_0_1772,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
cls_real__sqrt__divide_0,
[final] ).
cnf(i_0_1773,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
cls_real__sqrt__mult_0,
[final] ).
cnf(i_0_1774,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
cls_real__mult__right__cancel_0,
[final] ).
cnf(i_0_1775,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) ),
cls_real__mult__left__cancel_0,
[final] ).
cnf(i_0_1776,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
cls_real__le__antisym_0,
[final] ).
cnf(i_0_1777,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_add__diff__cancel_0,
[final] ).
cnf(i_0_1778,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__add__cancel_0,
[final] ).
cnf(i_0_1779,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_abs__mult__self_0,
[final] ).
cnf(i_0_1780,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X2,X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
cls_square__eq__iff_1,
[final] ).
cnf(i_0_1781,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_minus__mult__minus_0,
[final] ).
cnf(i_0_1782,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_minus__mult__commute_0,
[final] ).
cnf(i_0_1783,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X2,X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_mult__2_0,
[final] ).
cnf(i_0_1784,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_mult__2__right_0,
[final] ).
cnf(i_0_1785,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_not__real__square__gt__zero_0,
[final] ).
cnf(i_0_1786,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1) ),
cls_zero__less__abs__iff_0,
[final] ).
cnf(i_0_1787,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_pi__half__neq__zero_0,
[final] ).
cnf(i_0_1788,axiom,
( c_Int_Onumber__class_Onumber__of(X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
cls_divide__eq__eq__number__of_1,
[final] ).
cnf(i_0_1789,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_eq__divide__eq__number__of_1,
[final] ).
cnf(i_0_1790,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__two__less__zero_0,
[final] ).
cnf(i_0_1791,axiom,
c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_cos__two__le__zero_0,
[final] ).
cnf(i_0_1792,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
cls_real__sqrt__two__gt__zero_0,
[final] ).
cnf(i_0_1793,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
cls_real__sqrt__two__ge__zero_0,
[final] ).
cnf(i_0_1794,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
cls_real__sqrt__less__iff_0,
[final] ).
cnf(i_0_1795,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
cls_real__sqrt__le__iff_0,
[final] ).
cnf(i_0_1796,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal) ),
cls_zero__less__norm__iff_0,
[final] ).
cnf(i_0_1797,axiom,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_abs__number__of_1,
[final] ).
cnf(i_0_1798,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
cls_real__sqrt__gt__0__iff_0,
[final] ).
cnf(i_0_1799,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
cls_real__sqrt__ge__0__iff_0,
[final] ).
cnf(i_0_1800,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sqrt__lt__0__iff_0,
[final] ).
cnf(i_0_1801,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sqrt__le__0__iff_0,
[final] ).
cnf(i_0_1802,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
cls_CHAINED_0,
[final] ).
cnf(i_0_1803,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__sqrt__gt__zero_0,
[final] ).
cnf(i_0_1804,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__sqrt__gt__0__iff_1,
[final] ).
cnf(i_0_1805,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__sqrt__ge__0__iff_1,
[final] ).
cnf(i_0_1806,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__sqrt__ge__zero_0,
[final] ).
cnf(i_0_1807,axiom,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sqrt__lt__0__iff_1,
[final] ).
cnf(i_0_1808,axiom,
( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__sqrt__le__0__iff_1,
[final] ).
cnf(i_0_1809,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__less__le_2,
[final] ).
cnf(i_0_1810,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__less_0,
[final] ).
cnf(i_0_1811,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__neq__trans_0,
[final] ).
cnf(i_0_1812,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__neq__le__trans_0,
[final] ).
cnf(i_0_1813,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I12_J_0,
[final] ).
cnf(i_0_1814,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I11_J_0,
[final] ).
cnf(i_0_1815,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv1_0,
[final] ).
cnf(i_0_1816,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv2_0,
[final] ).
cnf(i_0_1817,axiom,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
cls_real__sqrt__less__iff_1,
[final] ).
cnf(i_0_1818,axiom,
( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
cls_real__sqrt__le__iff_1,
[final] ).
cnf(i_0_1819,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__le__zero__iff_0,
[final] ).
cnf(i_0_1820,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__less__imp__le_0,
[final] ).
cnf(i_0_1821,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__le__less_1,
[final] ).
cnf(i_0_1822,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_ln__less__self_0,
[final] ).
cnf(i_0_1823,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__minus__le__zero_0,
[final] ).
cnf(i_0_1824,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
cls_complex__mod__minus__le__complex__mod_0,
[final] ).
cnf(i_0_1825,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__not__less__zero_0,
[final] ).
cnf(i_0_1826,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1) = c_HOL_Oplus__class_Oplus(X2,X3,X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__minus__eq__add_0,
[final] ).
cnf(i_0_1827,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__minus_0,
[final] ).
cnf(i_0_1828,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_ab__diff__minus_0,
[final] ).
cnf(i_0_1829,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_diff__def_0,
[final] ).
cnf(i_0_1830,axiom,
( c_HOL_Ominus__class_Ominus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ring_Osub__add_0,
[final] ).
cnf(i_0_1831,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_norm__le__zero__iff_0,
[final] ).
cnf(i_0_1832,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
cls_real__less__def_2,
[final] ).
cnf(i_0_1833,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__if__lattice_0,
[final] ).
cnf(i_0_1834,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
cls_real__less__def_0,
[final] ).
cnf(i_0_1835,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_norm__not__less__zero_0,
[final] ).
cnf(i_0_1836,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__less__4_0,
[final] ).
cnf(i_0_1837,axiom,
( c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_divide__eq__eq__number__of1_1,
[final] ).
cnf(i_0_1838,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_eq__divide__eq__number__of1_2,
[final] ).
cnf(i_0_1839,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_Ring__and__Field_Oabs__if(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__if_0,
[final] ).
cnf(i_0_1840,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__of__neg_0,
[final] ).
cnf(i_0_1841,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_abs__of__nonpos_0,
[final] ).
cnf(i_0_1842,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__diff__def_0,
[final] ).
cnf(i_0_1843,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__add__minus__iff_0,
[final] ).
cnf(i_0_1844,axiom,
( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X1),X1) = c_Int_Onumber__class_Onumber__of(X2,X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_divide__eq__eq__number__of_2,
[final] ).
cnf(i_0_1845,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X1) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_eq__divide__eq__number__of_2,
[final] ).
cnf(i_0_1846,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
cls_cos__periodic__pi_0,
[final] ).
cnf(i_0_1847,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
cls_real__sqrt__abs2_0,
[final] ).
cnf(i_0_1848,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0,
[final] ).
cnf(i_0_1849,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__neqE_0,
[final] ).
cnf(i_0_1850,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__less__linear_0,
[final] ).
cnf(i_0_1851,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv3_0,
[final] ).
cnf(i_0_1852,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__less__iff__gr__or__eq_0,
[final] ).
cnf(i_0_1853,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_abs__of__pos_0,
[final] ).
cnf(i_0_1854,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_abs__of__nonneg_0,
[final] ).
cnf(i_0_1855,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv1_1,
[final] ).
cnf(i_0_1856,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__less_0,
[final] ).
cnf(i_0_1857,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__le_0,
[final] ).
cnf(i_0_1858,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0,
[final] ).
cnf(i_0_1859,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1860,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__commute_0,
[final] ).
cnf(i_0_1861,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I24_J_0,
[final] ).
cnf(i_0_1862,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__c_0,
[final] ).
cnf(i_0_1863,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I7_J_0,
[final] ).
cnf(i_0_1864,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__c_0,
[final] ).
cnf(i_0_1865,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_minus__unique_0,
[final] ).
cnf(i_0_1866,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X3,X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_eq__neg__iff__add__eq__0_1,
[final] ).
cnf(i_0_1867,axiom,
( c_HOL_Ouminus__class_Ouminus(X2,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ring_Oneg__mul_0,
[final] ).
cnf(i_0_1868,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__ge__minus__self_0,
[final] ).
cnf(i_0_1869,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__abs__def_0,
[final] ).
cnf(i_0_1870,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__one__less__zero_0,
[final] ).
cnf(i_0_1871,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__one__le__zero_0,
[final] ).
cnf(i_0_1872,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_no__zero__divirors__neq0_0,
[final] ).
cnf(i_0_1873,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_no__zero__divisors_0,
[final] ).
cnf(i_0_1874,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_mult__eq__0__iff_0,
[final] ).
cnf(i_0_1875,axiom,
( X2 = X3
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_class__ringb_Osubr0__iff_0,
[final] ).
cnf(i_0_1876,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
cls_class__ringb_Oadd__r0__iff_0,
[final] ).
cnf(i_0_1877,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = X3
| ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oone__class_Oone(X1) ),
cls_right__inverse__eq_0,
[final] ).
cnf(i_0_1878,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
cls_real__le__linear_0,
[final] ).
cnf(i_0_1879,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__le__zero__iff_1,
[final] ).
cnf(i_0_1880,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
cls_real__mult__commute_0,
[final] ).
cnf(i_0_1881,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_double__eq__0__iff_0,
[final] ).
cnf(i_0_1882,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__sqrt__eq__zero__cancel_0,
[final] ).
cnf(i_0_1883,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_divide__Numeral0_0,
[final] ).
cnf(i_0_1884,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_divide__Numeral1_0,
[final] ).
cnf(i_0_1885,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_divide__numeral__1_0,
[final] ).
cnf(i_0_1886,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_right__minus__eq_0,
[final] ).
cnf(i_0_1887,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_eq__iff__diff__eq__0_1,
[final] ).
cnf(i_0_1888,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__le__zero__iff_1,
[final] ).
cnf(i_0_1889,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__add__eq__0__iff_0,
[final] ).
cnf(i_0_1890,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_one__add__one__is__two_0,
[final] ).
cnf(i_0_1891,axiom,
( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
cls_real__sqrt__not__eq__zero_0,
[final] ).
cnf(i_0_1892,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_zero__less__abs__iff_1,
[final] ).
cnf(i_0_1893,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
cls_pi__ge__two_0,
[final] ).
cnf(i_0_1894,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_zero__less__norm__iff_1,
[final] ).
cnf(i_0_1895,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
cls_mult__numeral__1_0,
[final] ).
cnf(i_0_1896,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
cls_mult__numeral__1__right_0,
[final] ).
cnf(i_0_1897,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__ge__zero_0,
[final] ).
cnf(i_0_1898,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__irrefl_0,
[final] ).
cnf(i_0_1899,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__le_1,
[final] ).
cnf(i_0_1900,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__neq__iff_1,
[final] ).
cnf(i_0_1901,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_eq__neg__iff__add__eq__0_0,
[final] ).
cnf(i_0_1902,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_left__minus_0,
[final] ).
cnf(i_0_1903,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_ab__left__minus_0,
[final] ).
cnf(i_0_1904,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_right__minus_0,
[final] ).
cnf(i_0_1905,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1) ),
cls_abs__if__lattice_1,
[final] ).
cnf(i_0_1906,axiom,
( c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_norm__number__of_0,
[final] ).
cnf(i_0_1907,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__ge__zero_0,
[final] ).
cnf(i_0_1908,axiom,
( c_lessequals(X2,c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__ge__self_0,
[final] ).
cnf(i_0_1909,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_pi__not__less__zero_0,
[final] ).
cnf(i_0_1910,axiom,
( c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
cls_add__numeral__0_0,
[final] ).
cnf(i_0_1911,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
cls_add__numeral__0__right_0,
[final] ).
cnf(i_0_1912,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__self__if_0,
[final] ).
cnf(i_0_1913,axiom,
c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_cos__two__neq__zero_0,
[final] ).
cnf(i_0_1914,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
cls_real__less__def_1,
[final] ).
cnf(i_0_1915,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oabs__if(X1) ),
cls_abs__if_1,
[final] ).
cnf(i_0_1916,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_group__add__class_Odiff__0_0,
[final] ).
cnf(i_0_1917,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__zero_0,
[final] ).
cnf(i_0_1918,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__eq__eq_1,
[final] ).
cnf(i_0_1919,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_eq__divide__eq_2,
[final] ).
cnf(i_0_1920,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__add__eq__0__iff_1,
[final] ).
cnf(i_0_1921,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
cls_divide__self__if_1,
[final] ).
cnf(i_0_1922,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_double__eq__0__iff_1,
[final] ).
cnf(i_0_1923,axiom,
( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Oadd__r0__iff_1,
[final] ).
cnf(i_0_1924,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_zero__less__one_0,
[final] ).
cnf(i_0_1925,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_zero__le__one_0,
[final] ).
cnf(i_0_1926,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Osubr0__iff_1,
[final] ).
cnf(i_0_1927,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
cls_divide_Ozero_0,
[final] ).
cnf(i_0_1928,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__zero__left_0,
[final] ).
cnf(i_0_1929,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
cls_mult__zero__left_0,
[final] ).
cnf(i_0_1930,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
cls_mult__eq__0__iff_1,
[final] ).
cnf(i_0_1931,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__left_Ozero_0,
[final] ).
cnf(i_0_1932,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Ozero__left_0,
[final] ).
cnf(i_0_1933,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I9_J_0,
[final] ).
cnf(i_0_1934,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__0_0,
[final] ).
cnf(i_0_1935,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
cls_mult__zero__right_0,
[final] ).
cnf(i_0_1936,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
cls_mult__eq__0__iff_2,
[final] ).
cnf(i_0_1937,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult_Ozero__right_0,
[final] ).
cnf(i_0_1938,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__algebra(X1) ),
cls_mult__right_Ozero_0,
[final] ).
cnf(i_0_1939,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I10_J_0,
[final] ).
cnf(i_0_1940,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_right__inverse__eq_1,
[final] ).
cnf(i_0_1941,axiom,
( c_HOL_Oinverse__class_Odivide(X2,X2,X1) = c_HOL_Oone__class_Oone(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__self_0,
[final] ).
cnf(i_0_1942,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__abs__def_1,
[final] ).
cnf(i_0_1943,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
cls_add__0__left_0,
[final] ).
cnf(i_0_1944,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__1_0,
[final] ).
cnf(i_0_1945,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I5_J_0,
[final] ).
cnf(i_0_1946,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__0_0,
[final] ).
cnf(i_0_1947,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
cls_mult__1_0,
[final] ).
cnf(i_0_1948,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_mult__1__left_0,
[final] ).
cnf(i_0_1949,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I11_J_0,
[final] ).
cnf(i_0_1950,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__1_0,
[final] ).
cnf(i_0_1951,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_divide__1_0,
[final] ).
cnf(i_0_1952,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__0__right_0,
[final] ).
cnf(i_0_1953,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
cls_monoid__add__class_Oadd__0__right_0,
[final] ).
cnf(i_0_1954,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__1__right_0,
[final] ).
cnf(i_0_1955,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I6_J_0,
[final] ).
cnf(i_0_1956,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_mult__1__right_0,
[final] ).
cnf(i_0_1957,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oone__class_Oone(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I12_J_0,
[final] ).
cnf(i_0_1958,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__self_0,
[final] ).
cnf(i_0_1959,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_right__minus__eq_1,
[final] ).
cnf(i_0_1960,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_eq__iff__diff__eq__0_0,
[final] ).
cnf(i_0_1961,axiom,
( c_HOL_Otimes__class_Otimes(X2,X2,X1) = X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
cls_mult__idem_0,
[final] ).
cnf(i_0_1962,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1963,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1964,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__idempotent_0,
[final] ).
cnf(i_0_1965,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__minus__cancel_0,
[final] ).
cnf(i_0_1966,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_RealVector_Onorm__class_Onorm(X2,X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__minus__cancel_0,
[final] ).
cnf(i_0_1967,axiom,
( X2 = X3
| ~ class_Int_Oring__char__0(X1)
| ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
cls_eq__number__of_0,
[final] ).
cnf(i_0_1968,axiom,
( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X1)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_abs__norm__cancel_0,
[final] ).
cnf(i_0_1969,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
cls_pi__gt__zero_0,
[final] ).
cnf(i_0_1970,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
cls_pi__ge__zero_0,
[final] ).
cnf(i_0_1971,axiom,
( X2 = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
cls_compl__eq__compl__iff_0,
[final] ).
cnf(i_0_1972,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
cls_neg__equal__iff__equal_0,
[final] ).
cnf(i_0_1973,axiom,
c_lessequals(X1,X1,tc_RealDef_Oreal),
cls_real__le__refl_0,
[final] ).
cnf(i_0_1974,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_double__compl_0,
[final] ).
cnf(i_0_1975,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__minus_0,
[final] ).
cnf(i_0_1976,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__equation__iff_1,
[final] ).
cnf(i_0_1977,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_0,
[final] ).
cnf(i_0_1978,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_1,
[final] ).
cnf(i_0_1979,axiom,
c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
cls_real__sqrt__minus_0,
[final] ).
cnf(i_0_1980,axiom,
( c_HOL_Ozero__class_Ozero(X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1) ),
cls_neg__0__equal__iff__equal_0,
[final] ).
cnf(i_0_1981,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| c_HOL_Oabs__class_Oabs(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_abs__eq__0_0,
[final] ).
cnf(i_0_1982,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_neg__equal__0__iff__equal_0,
[final] ).
cnf(i_0_1983,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(X2,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_norm__eq__zero_0,
[final] ).
cnf(i_0_1984,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != X2 ),
cls_neg__equal__zero_0,
[final] ).
cnf(i_0_1985,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_abs__one_0,
[final] ).
cnf(i_0_1986,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__eq__0_1,
[final] ).
cnf(i_0_1987,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
cls_neg__equal__zero_1,
[final] ).
cnf(i_0_1988,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__zero_0,
[final] ).
cnf(i_0_1989,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_neg__0__equal__iff__equal_1,
[final] ).
cnf(i_0_1990,axiom,
c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
cls_cos__minus_0,
[final] ).
cnf(i_0_1991,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
cls_norm__zero_0,
[final] ).
cnf(i_0_1992,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_numeral__1__eq__1_0,
[final] ).
cnf(i_0_1993,axiom,
( c_HOL_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_comp__arith_I110_J_0,
[final] ).
cnf(i_0_1994,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_number__of__Pls_0,
[final] ).
cnf(i_0_1995,axiom,
( c_HOL_Ozero__class_Ozero(X1) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_comp__arith_I112_J_0,
[final] ).
cnf(i_0_1996,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_one__neq__zero_0,
[final] ).
cnf(i_0_1997,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
cls_zero__neq__one_0,
[final] ).
cnf(i_0_1998,axiom,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
cls_real__sqrt__eq__iff_0,
[final] ).
cnf(i_0_1999,axiom,
( X1 = X2
| c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
cls_rel__simps_I48_J_0,
[final] ).
cnf(i_0_2000,axiom,
( X1 = X2
| c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
cls_rel__simps_I51_J_0,
[final] ).
cnf(i_0_2001,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
cls_real__sqrt__eq__0__iff_0,
[final] ).
cnf(i_0_2002,axiom,
c_Int_OBit0(X1) != c_Int_OBit1(X2),
cls_rel__simps_I49_J_0,
[final] ).
cnf(i_0_2003,axiom,
c_Int_OBit1(X1) != c_Int_OBit0(X2),
cls_rel__simps_I50_J_0,
[final] ).
cnf(i_0_2004,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__sqrt__zero_0,
[final] ).
cnf(i_0_2005,axiom,
( c_Int_OPls = X1
| c_Int_OPls != c_Int_OBit0(X1) ),
cls_rel__simps_I38_J_0,
[final] ).
cnf(i_0_2006,axiom,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
cls_rel__simps_I44_J_0,
[final] ).
cnf(i_0_2007,axiom,
c_Int_OBit1(X1) != c_Int_OPls,
cls_rel__simps_I46_J_0,
[final] ).
cnf(i_0_2008,axiom,
c_Int_OPls != c_Int_OBit1(X1),
cls_rel__simps_I39_J_0,
[final] ).
cnf(i_0_2009,axiom,
c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_pi__neq__zero_0,
[final] ).
cnf(i_0_2010,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
clsarity_Int__Oint__Int_Oring__char__0,
[final] ).
cnf(i_0_2011,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Int_Oring__char__0,
[final] ).
cnf(i_0_2012,axiom,
class_Int_Oring__char__0(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Int_Oring__char__0,
[final] ).
cnf(i_0_2013,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
[final] ).
cnf(i_0_2014,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
[final] ).
cnf(i_0_2015,axiom,
class_Ring__and__Field_Oabs__if(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oabs__if,
[final] ).
cnf(i_0_2016,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,
[final] ).
cnf(i_0_2017,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,
[final] ).
cnf(i_0_2018,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,
[final] ).
cnf(i_0_2019,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__field,
[final] ).
cnf(i_0_2020,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Oreal__field,
[final] ).
cnf(i_0_2021,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,
[final] ).
cnf(i_0_2022,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,
[final] ).
cnf(i_0_2023,axiom,
class_Ring__and__Field_Oordered__semiring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,
[final] ).
cnf(i_0_2024,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,
[final] ).
cnf(i_0_2025,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Omonoid__add,
[final] ).
cnf(i_0_2026,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,
[final] ).
cnf(i_0_2027,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,
[final] ).
cnf(i_0_2028,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,
[final] ).
cnf(i_0_2029,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,
[final] ).
cnf(i_0_2030,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,
[final] ).
cnf(i_0_2031,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,
[final] ).
cnf(i_0_2032,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,
[final] ).
cnf(i_0_2033,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,
[final] ).
cnf(i_0_2034,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Omult__zero,
[final] ).
cnf(i_0_2035,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,
[final] ).
cnf(i_0_2036,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,
[final] ).
cnf(i_0_2037,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,
[final] ).
cnf(i_0_2038,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,
[final] ).
cnf(i_0_2039,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,
[final] ).
cnf(i_0_2040,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,
[final] ).
cnf(i_0_2041,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,
[final] ).
cnf(i_0_2042,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,
[final] ).
cnf(i_0_2043,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,
[final] ).
cnf(i_0_2044,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_2045,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_2046,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_2047,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,
[final] ).
cnf(i_0_2048,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,
[final] ).
cnf(i_0_2049,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,
[final] ).
cnf(i_0_2050,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Omonoid__mult,
[final] ).
cnf(i_0_2051,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,
[final] ).
cnf(i_0_2052,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,
[final] ).
cnf(i_0_2053,axiom,
class_Ring__and__Field_Olordered__ring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Olordered__ring,
[final] ).
cnf(i_0_2054,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,
[final] ).
cnf(i_0_2055,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,
[final] ).
cnf(i_0_2056,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,
[final] ).
cnf(i_0_2057,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
[final] ).
cnf(i_0_2058,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
[final] ).
cnf(i_0_2059,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,
[final] ).
cnf(i_0_2060,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ofield,
[final] ).
cnf(i_0_2061,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,
[final] ).
cnf(i_0_2062,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,
[final] ).
cnf(i_0_2063,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ogroup__add,
[final] ).
cnf(i_0_2064,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,
[final] ).
cnf(i_0_2065,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,
[final] ).
cnf(i_0_2066,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,
[final] ).
cnf(i_0_2067,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,
[final] ).
cnf(i_0_2068,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,
[final] ).
cnf(i_0_2069,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,
[final] ).
cnf(i_0_2070,axiom,
class_Ring__and__Field_Omult__mono1(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Omult__mono1,
[final] ).
cnf(i_0_2071,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,
[final] ).
cnf(i_0_2072,axiom,
class_Ring__and__Field_Omult__mono(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Omult__mono,
[final] ).
cnf(i_0_2073,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,
[final] ).
cnf(i_0_2074,axiom,
class_Ring__and__Field_Opordered__ring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Opordered__ring,
[final] ).
cnf(i_0_2075,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,
[final] ).
cnf(i_0_2076,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,
[final] ).
cnf(i_0_2077,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,
[final] ).
cnf(i_0_2078,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,
[final] ).
cnf(i_0_2079,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
[final] ).
cnf(i_0_2080,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
[final] ).
cnf(i_0_2081,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,
[final] ).
cnf(i_0_2082,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,
[final] ).
cnf(i_0_2083,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,
[final] ).
cnf(i_0_2084,axiom,
class_Ring__and__Field_Opordered__semiring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,
[final] ).
cnf(i_0_2085,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,
[final] ).
cnf(i_0_2086,axiom,
class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__idom,
[final] ).
cnf(i_0_2087,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,
[final] ).
cnf(i_0_2088,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_2089,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_2090,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_2091,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_2092,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_2093,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_2094,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,
[final] ).
cnf(i_0_2095,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,
[final] ).
cnf(i_0_2096,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Oab__group__add,
[final] ).
cnf(i_0_2097,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,
[final] ).
cnf(i_0_2098,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,
[final] ).
cnf(i_0_2099,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,
[final] ).
cnf(i_0_2100,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,
[final] ).
cnf(i_0_2101,axiom,
class_Ring__and__Field_Oring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oring,
[final] ).
cnf(i_0_2102,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oring,
[final] ).
cnf(i_0_2103,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oring,
[final] ).
cnf(i_0_2104,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_2105,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_2106,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_2107,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
[final] ).
cnf(i_0_2108,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
[final] ).
cnf(i_0_2109,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
clsarity_Int__Oint__Int_Onumber__ring,
[final] ).
cnf(i_0_2110,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Int_Onumber__ring,
[final] ).
cnf(i_0_2111,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Int_Onumber__ring,
[final] ).
cnf(i_0_2112,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oidom,
[final] ).
cnf(i_0_2113,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,
[final] ).
cnf(i_0_2114,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oidom,
[final] ).
cnf(i_0_2115,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_2116,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_2117,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_2118,axiom,
class_Ring__and__Field_Osemiring(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Osemiring,
[final] ).
cnf(i_0_2119,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,
[final] ).
cnf(i_0_2120,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,
[final] ).
cnf(i_0_2121,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,
[final] ).
cnf(i_0_2122,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,
[final] ).
cnf(i_0_2123,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,
[final] ).
cnf(i_0_2124,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,
[final] ).
cnf(i_0_2125,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,
[final] ).
cnf(i_0_2126,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,
[final] ).
cnf(i_0_2127,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
clsarity_Int__Oint__Orderings_Opreorder,
[final] ).
cnf(i_0_2128,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Opreorder,
[final] ).
cnf(i_0_2129,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,
[final] ).
cnf(i_0_2130,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,
[final] ).
cnf(i_0_2131,axiom,
class_Orderings_Oorder(tc_Int_Oint),
clsarity_Int__Oint__Orderings_Oorder,
[final] ).
cnf(i_0_2132,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Oorder,
[final] ).
cnf(i_0_2133,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,
[final] ).
cnf(i_0_2134,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,
[final] ).
cnf(i_0_2135,axiom,
class_Int_Onumber(tc_Int_Oint),
clsarity_Int__Oint__Int_Onumber,
[final] ).
cnf(i_0_2136,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Int_Onumber,
[final] ).
cnf(i_0_2137,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Int_Onumber,
[final] ).
cnf(i_0_2138,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,
[final] ).
cnf(i_0_2139,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,
[final] ).
cnf(i_0_2140,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,
[final] ).
cnf(i_0_2141,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
clsarity_Int__Oint__Orderings_Olinorder,
[final] ).
cnf(i_0_2142,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Orderings_Olinorder,
[final] ).
cnf(i_0_2143,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,
[final] ).
cnf(i_0_2144,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,
[final] ).
cnf(i_0_2145,axiom,
c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
cls_Bit0__Pls_0,
[final] ).
cnf(i_0_2146,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
cls_rel__simps_I38_J_1,
[final] ).
cnf(i_0_2147,negated_conjecture,
~ v_thesis____,
cls_conjecture_0,
[final] ).
cnf(i_0_2148,axiom,
X1 = X1 ).
cnf(i_0_2149,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_2150,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_2151,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).
cnf(i_0_2152,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).
cnf(i_0_2153,axiom,
( X1 != X2
| c_Int_OBit1(X1) = c_Int_OBit1(X2) ) ).
cnf(i_0_2154,axiom,
( X1 != X2
| c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).
cnf(i_0_2155,axiom,
( X1 != X2
| c_Transcendental_Ocos(X1) = c_Transcendental_Ocos(X2) ) ).
cnf(i_0_2156,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).
cnf(i_0_2157,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).
cnf(i_0_2158,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).
cnf(i_0_2159,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X1,X3,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ) ).
cnf(i_0_2160,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X1,X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ) ).
cnf(i_0_2161,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X4,X1) = c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ).
cnf(i_0_2162,axiom,
( X1 != X2
| c_NthRoot_Osqrt(X1) = c_NthRoot_Osqrt(X2) ) ).
cnf(i_0_2163,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_2164,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_2165,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_2166,axiom,
( X1 != X2
| c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).
cnf(i_0_2167,axiom,
( X1 != X2
| c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).
cnf(i_0_2168,axiom,
( X1 != X2
| c_HOL_Oinverse__class_Odivide(X1,X3,X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ) ).
cnf(i_0_2169,axiom,
( X1 != X2
| c_HOL_Oinverse__class_Odivide(X3,X1,X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ) ).
cnf(i_0_2170,axiom,
( X1 != X2
| c_HOL_Oinverse__class_Odivide(X3,X4,X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ).
cnf(i_0_2171,axiom,
( X1 != X2
| c_HOL_Oabs__class_Oabs(X1,X3) = c_HOL_Oabs__class_Oabs(X2,X3) ) ).
cnf(i_0_2172,axiom,
( X1 != X2
| c_HOL_Oabs__class_Oabs(X3,X1) = c_HOL_Oabs__class_Oabs(X3,X2) ) ).
cnf(i_0_2173,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_2174,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_2175,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).
cnf(i_0_2176,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).
cnf(i_0_2177,axiom,
( X1 != X2
| c_Int_OBit0(X1) = c_Int_OBit0(X2) ) ).
cnf(i_0_2178,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_2179,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__field(X2) ) ).
cnf(i_0_2180,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| class_Ring__and__Field_Odivision__by__zero(X2) ) ).
cnf(i_0_2181,axiom,
( X1 != X2
| ~ class_Int_Onumber(X1)
| class_Int_Onumber(X2) ) ).
cnf(i_0_2182,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ofield(X2) ) ).
cnf(i_0_2183,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring(X1)
| class_Ring__and__Field_Osemiring(X2) ) ).
cnf(i_0_2184,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_2185,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_2186,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_2187,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_2188,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_2189,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_2190,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_2191,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).
cnf(i_0_2192,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X2) ) ).
cnf(i_0_2193,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| class_Ring__and__Field_Oordered__semiring(X2) ) ).
cnf(i_0_2194,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_2195,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Olordered__ring(X2) ) ).
cnf(i_0_2196,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_2197,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_2198,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
| class_OrderedGroup_Olordered__ab__group__add__abs(X2) ) ).
cnf(i_0_2199,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).
cnf(i_0_2200,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono1(X1)
| class_Ring__and__Field_Omult__mono1(X2) ) ).
cnf(i_0_2201,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_2202,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_2203,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_2204,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono(X1)
| class_Ring__and__Field_Omult__mono(X2) ) ).
cnf(i_0_2205,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).
cnf(i_0_2206,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_2207,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__field(X1)
| class_RealVector_Oreal__normed__field(X2) ) ).
cnf(i_0_2208,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X2) ) ).
cnf(i_0_2209,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| class_Ring__and__Field_Opordered__ring__abs(X2) ) ).
cnf(i_0_2210,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).
cnf(i_0_2211,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).
cnf(i_0_2212,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semidom(X2) ) ).
cnf(i_0_2213,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_2214,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__algebra(X1)
| class_RealVector_Oreal__normed__algebra(X2) ) ).
cnf(i_0_2215,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_2216,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_2217,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_2218,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X2) ) ).
cnf(i_0_2219,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_2220,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_2221,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_2222,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__div__algebra(X1)
| class_RealVector_Oreal__normed__div__algebra(X2) ) ).
cnf(i_0_2223,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).
cnf(i_0_2224,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| class_OrderedGroup_Oordered__ab__group__add(X2) ) ).
cnf(i_0_2225,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| class_OrderedGroup_Opordered__ab__group__add__abs(X2) ) ).
cnf(i_0_2226,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_2227,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_2228,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oabs__if(X1)
| class_Ring__and__Field_Oabs__if(X2) ) ).
cnf(i_0_2229,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| class_Ring__and__Field_Ono__zero__divisors(X2) ) ).
cnf(i_0_2230,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| class_Ring__and__Field_Oring__no__zero__divisors(X2) ) ).
cnf(i_0_2231,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__algebra__1(X1)
| class_RealVector_Oreal__normed__algebra__1(X2) ) ).
cnf(i_0_2232,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__zero(X1)
| class_Ring__and__Field_Omult__zero(X2) ) ).
cnf(i_0_2233,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__add(X1)
| class_OrderedGroup_Omonoid__add(X2) ) ).
cnf(i_0_2234,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).
cnf(i_0_2235,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__mult(X1)
| class_OrderedGroup_Omonoid__mult(X2) ) ).
cnf(i_0_2236,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__vector(X1)
| class_RealVector_Oreal__normed__vector(X2) ) ).
cnf(i_0_2237,axiom,
( X1 != X2
| ~ class_Int_Oring__char__0(X1)
| class_Int_Oring__char__0(X2) ) ).
cnf(i_0_2238,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_2239,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| class_Ring__and__Field_Ozero__neq__one(X2) ) ).
cnf(i_0_2240,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__field(X1)
| class_RealVector_Oreal__field(X2) ) ).
cnf(i_0_2241,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X2) ) ).
cnf(i_0_2242,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__ring__strict(X2) ) ).
cnf(i_0_2148_001,axiom,
X1 = X1 ).
cnf(i_0_2149_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_2150_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_2151_004,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).
cnf(i_0_2152_005,axiom,
( X1 != X2
| c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).
cnf(i_0_2153_006,axiom,
( X1 != X2
| c_Int_OBit1(X1) = c_Int_OBit1(X2) ) ).
cnf(i_0_2154_007,axiom,
( X1 != X2
| c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).
cnf(i_0_2155_008,axiom,
( X1 != X2
| c_Transcendental_Ocos(X1) = c_Transcendental_Ocos(X2) ) ).
cnf(i_0_2156_009,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).
cnf(i_0_2157_010,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).
cnf(i_0_2158_011,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).
cnf(i_0_2159_012,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X1,X3,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ) ).
cnf(i_0_2160_013,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X1,X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ) ).
cnf(i_0_2161_014,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X4,X1) = c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ).
cnf(i_0_2162_015,axiom,
( X1 != X2
| c_NthRoot_Osqrt(X1) = c_NthRoot_Osqrt(X2) ) ).
cnf(i_0_2163_016,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_2164_017,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_2165_018,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_2166_019,axiom,
( X1 != X2
| c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).
cnf(i_0_2167_020,axiom,
( X1 != X2
| c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).
cnf(i_0_2168_021,axiom,
( X1 != X2
| c_HOL_Oinverse__class_Odivide(X1,X3,X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ) ).
cnf(i_0_2169_022,axiom,
( X1 != X2
| c_HOL_Oinverse__class_Odivide(X3,X1,X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ) ).
cnf(i_0_2170_023,axiom,
( X1 != X2
| c_HOL_Oinverse__class_Odivide(X3,X4,X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ).
cnf(i_0_2171_024,axiom,
( X1 != X2
| c_HOL_Oabs__class_Oabs(X1,X3) = c_HOL_Oabs__class_Oabs(X2,X3) ) ).
cnf(i_0_2172_025,axiom,
( X1 != X2
| c_HOL_Oabs__class_Oabs(X3,X1) = c_HOL_Oabs__class_Oabs(X3,X2) ) ).
cnf(i_0_2173_026,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_2174_027,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_2175_028,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).
cnf(i_0_2176_029,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).
cnf(i_0_2177_030,axiom,
( X1 != X2
| c_Int_OBit0(X1) = c_Int_OBit0(X2) ) ).
cnf(i_0_2178_031,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_2179_032,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__field(X2) ) ).
cnf(i_0_2180_033,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| class_Ring__and__Field_Odivision__by__zero(X2) ) ).
cnf(i_0_2181_034,axiom,
( X1 != X2
| ~ class_Int_Onumber(X1)
| class_Int_Onumber(X2) ) ).
cnf(i_0_2182_035,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ofield(X2) ) ).
cnf(i_0_2183_036,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring(X1)
| class_Ring__and__Field_Osemiring(X2) ) ).
cnf(i_0_2184_037,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_2185_038,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_2186_039,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_2187_040,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_2188_041,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_2189_042,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_2190_043,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_2191_044,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).
cnf(i_0_2192_045,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X2) ) ).
cnf(i_0_2193_046,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| class_Ring__and__Field_Oordered__semiring(X2) ) ).
cnf(i_0_2194_047,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_2195_048,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Olordered__ring(X1)
| class_Ring__and__Field_Olordered__ring(X2) ) ).
cnf(i_0_2196_049,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_2197_050,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_2198_051,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X1)
| class_OrderedGroup_Olordered__ab__group__add__abs(X2) ) ).
cnf(i_0_2199_052,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).
cnf(i_0_2200_053,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono1(X1)
| class_Ring__and__Field_Omult__mono1(X2) ) ).
cnf(i_0_2201_054,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_2202_055,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_2203_056,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_2204_057,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono(X1)
| class_Ring__and__Field_Omult__mono(X2) ) ).
cnf(i_0_2205_058,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).
cnf(i_0_2206_059,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_2207_060,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__field(X1)
| class_RealVector_Oreal__normed__field(X2) ) ).
cnf(i_0_2208_061,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X2) ) ).
cnf(i_0_2209_062,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| class_Ring__and__Field_Opordered__ring__abs(X2) ) ).
cnf(i_0_2210_063,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).
cnf(i_0_2211_064,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).
cnf(i_0_2212_065,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semidom(X2) ) ).
cnf(i_0_2213_066,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_2214_067,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__algebra(X1)
| class_RealVector_Oreal__normed__algebra(X2) ) ).
cnf(i_0_2215_068,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_2216_069,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_2217_070,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_2218_071,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X2) ) ).
cnf(i_0_2219_072,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_2220_073,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_2221_074,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_2222_075,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__div__algebra(X1)
| class_RealVector_Oreal__normed__div__algebra(X2) ) ).
cnf(i_0_2223_076,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).
cnf(i_0_2224_077,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| class_OrderedGroup_Oordered__ab__group__add(X2) ) ).
cnf(i_0_2225_078,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| class_OrderedGroup_Opordered__ab__group__add__abs(X2) ) ).
cnf(i_0_2226_079,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_2227_080,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_2228_081,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oabs__if(X1)
| class_Ring__and__Field_Oabs__if(X2) ) ).
cnf(i_0_2229_082,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| class_Ring__and__Field_Ono__zero__divisors(X2) ) ).
cnf(i_0_2230_083,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| class_Ring__and__Field_Oring__no__zero__divisors(X2) ) ).
cnf(i_0_2231_084,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__algebra__1(X1)
| class_RealVector_Oreal__normed__algebra__1(X2) ) ).
cnf(i_0_2232_085,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__zero(X1)
| class_Ring__and__Field_Omult__zero(X2) ) ).
cnf(i_0_2233_086,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__add(X1)
| class_OrderedGroup_Omonoid__add(X2) ) ).
cnf(i_0_2234_087,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
| class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).
cnf(i_0_2235_088,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__mult(X1)
| class_OrderedGroup_Omonoid__mult(X2) ) ).
cnf(i_0_2236_089,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__normed__vector(X1)
| class_RealVector_Oreal__normed__vector(X2) ) ).
cnf(i_0_2237_090,axiom,
( X1 != X2
| ~ class_Int_Oring__char__0(X1)
| class_Int_Oring__char__0(X2) ) ).
cnf(i_0_2238_091,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_2239_092,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| class_Ring__and__Field_Ozero__neq__one(X2) ) ).
cnf(i_0_2240_093,axiom,
( X1 != X2
| ~ class_RealVector_Oreal__field(X1)
| class_RealVector_Oreal__field(X2) ) ).
cnf(i_0_2241_094,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X2) ) ).
cnf(i_0_2242_095,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__ring__strict(X2) ) ).
cnf(i_0_2243,plain,
( ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,X1),X3,X1),X4,X1) = X4 ),
inference(equality_inference,[],[1182]) ).
cnf(i_0_2244,plain,
( ~ class_Ring__and__Field_Oring(X1)
| X2 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X3,X1),X4,X1),X2,X1) ),
inference(equality_inference,[],[1183]) ).
cnf(i_0_2245,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| X3 = X4
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[1186]) ).
cnf(i_0_2246,plain,
( ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 = X2
| X3 = c_HOL_Ozero__class_Ozero(X1) ),
inference(equality_inference,[],[1335]) ).
cnf(i_0_2247,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
inference(equality_inference,[],[1451]) ).
cnf(i_0_2248,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Oinverse__class_Odivide(X2,X3,X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1) ),
inference(equality_inference,[],[1614]) ).
cnf(i_0_2249,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1) ),
inference(equality_inference,[],[1615]) ).
cnf(i_0_2250,plain,
( X1 = X1
| ~ class_Ring__and__Field_Oidom(X2)
| X1 = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
inference(equality_inference,[],[1718]) ).
cnf(i_0_2251,plain,
( X1 = X1
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(equality_inference,[],[1728]) ).
cnf(i_0_2252,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[1737]) ).
cnf(i_0_2253,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1753]) ).
cnf(i_0_2254,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[1754]) ).
cnf(i_0_2255,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1755]) ).
cnf(i_0_2256,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
inference(equality_inference,[],[1756]) ).
cnf(i_0_2257,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[1757]) ).
cnf(i_0_2258,plain,
( X1 = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(equality_inference,[],[1774]) ).
cnf(i_0_2259,plain,
( X1 = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(equality_inference,[],[1775]) ).
cnf(i_0_2260,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| ~ class_Int_Oring__char__0(X1) ),
inference(equality_inference,[],[1967]) ).
cnf(i_0_2261,plain,
( X1 = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(equality_inference,[],[1971]) ).
cnf(i_0_2262,plain,
( X1 = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(equality_inference,[],[1972]) ).
cnf(i_0_2263,plain,
X1 = X1,
inference(equality_inference,[],[1998]) ).
cnf(i_0_2264,plain,
X1 = X1,
inference(equality_inference,[],[1999]) ).
cnf(i_0_2265,plain,
X1 = X1,
inference(equality_inference,[],[2000]) ).
cnf(i_0_2266,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(scs_inference,[],[i_0_2147,i_0_1095]) ).
cnf(i_0_2267,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(scs_inference,[],[i_0_2147,i_0_1098]) ).
cnf(i_0_2268,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(scs_inference,[],[i_0_2147,i_0_1120]) ).
cnf(i_0_2269,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(scs_inference,[],[i_0_2147,i_0_1121]) ).
cnf(i_0_2270,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(scs_inference,[],[i_0_2147,i_0_1468]) ).
cnf(i_0_2271,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(scs_inference,[],[i_0_2147,i_0_1481]) ).
cnf(i_0_2272,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_2267]) ).
cnf(i_0_2273,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_2267]) ).
cnf(i_0_2274,plain,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_2267,i_0_2271]) ).
cnf(i_0_2275,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_2271]) ).
cnf(i_0_2276,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),X1,X2),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_2267,i_0_2271,i_0_1655]) ).
cnf(i_0_2277,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_2278,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_2267,i_0_2271,i_0_1655,i_0_1798]) ).
cnf(i_0_2279,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1798]) ).
cnf(i_0_2280,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(v_sko__CHAINED__1(v_p,v_s____,v_z____)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804]) ).
cnf(i_0_2281,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1804]) ).
cnf(i_0_2282,plain,
c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal))),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807]) ).
cnf(i_0_2283,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1807]) ).
cnf(i_0_2284,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Oln(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822]) ).
cnf(i_0_2285,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1822]) ).
cnf(i_0_2286,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834]) ).
cnf(i_0_2287,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1834]) ).
cnf(i_0_2288,plain,
c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869]) ).
cnf(i_0_2289,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1869]) ).
cnf(i_0_2290,plain,
c_NthRoot_Osqrt(v_sko__CHAINED__1(v_p,v_s____,v_z____)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891]) ).
cnf(i_0_2291,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1891]) ).
cnf(i_0_2292,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942]) ).
cnf(i_0_2293,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2294,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
inference(rename_variables,[],[i_0_1942]) ).
cnf(i_0_2295,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266]) ).
cnf(i_0_2296,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_2266]) ).
cnf(i_0_2297,plain,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269]) ).
cnf(i_0_2298,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_2269]) ).
cnf(i_0_2299,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1973,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719]) ).
cnf(i_0_2300,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2301,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1719]) ).
cnf(i_0_2302,plain,
c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1973,i_0_2300,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771]) ).
cnf(i_0_2303,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2304,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1771]) ).
cnf(i_0_2305,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1973,i_0_2300,i_0_1152,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795]) ).
cnf(i_0_2306,plain,
c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1152]) ).
cnf(i_0_2307,plain,
( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1795]) ).
cnf(i_0_2308,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1973,i_0_2300,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799]) ).
cnf(i_0_2309,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1799]) ).
cnf(i_0_2310,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1973,i_0_2300,i_0_2303,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806]) ).
cnf(i_0_2311,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2312,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1806]) ).
cnf(i_0_2313,plain,
c_lessequals(c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808]) ).
cnf(i_0_2314,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2315,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1808]) ).
cnf(i_0_2316,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1790,i_0_1625,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889]) ).
cnf(i_0_2317,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1889]) ).
cnf(i_0_2318,plain,
c_Transcendental_Ocos(X1) = c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149]) ).
cnf(i_0_2319,plain,
c_lessequals(X1,X1,tc_Int_Oint),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962]) ).
cnf(i_0_2320,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1962]) ).
cnf(i_0_2321,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_1802,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105]) ).
cnf(i_0_2322,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1105]) ).
cnf(i_0_2323,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2075,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134]) ).
cnf(i_0_2324,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2325,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(rename_variables,[],[i_0_1134]) ).
cnf(i_0_2326,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2075,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148]) ).
cnf(i_0_2327,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1148]) ).
cnf(i_0_2328,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530]) ).
cnf(i_0_2329,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1530]) ).
cnf(i_0_2330,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644]) ).
cnf(i_0_2331,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(rename_variables,[],[i_0_1644]) ).
cnf(i_0_2332,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645]) ).
cnf(i_0_2333,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1645]) ).
cnf(i_0_2334,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647]) ).
cnf(i_0_2335,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1647]) ).
cnf(i_0_2336,plain,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731]) ).
cnf(i_0_2337,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1731]) ).
cnf(i_0_2338,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733]) ).
cnf(i_0_2339,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1733]) ).
cnf(i_0_2340,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740]) ).
cnf(i_0_2341,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(rename_variables,[],[i_0_1740]) ).
cnf(i_0_2342,plain,
~ c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759]) ).
cnf(i_0_2343,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1759]) ).
cnf(i_0_2344,plain,
~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760]) ).
cnf(i_0_2345,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1760]) ).
cnf(i_0_2346,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761]) ).
cnf(i_0_2347,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1761]) ).
cnf(i_0_2348,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_2142,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762]) ).
cnf(i_0_2349,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1762]) ).
cnf(i_0_2350,plain,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_2142,i_0_1990,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765]) ).
cnf(i_0_2351,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1765]) ).
cnf(i_0_2352,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_2142,i_0_1990,i_0_2009,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892]) ).
cnf(i_0_2353,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(rename_variables,[],[i_0_1892]) ).
cnf(i_0_2354,plain,
c_HOL_Ominus__class_Ominus(v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)),v_z____,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_2142,i_0_1990,i_0_2009,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894]) ).
cnf(i_0_2355,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(rename_variables,[],[i_0_1894]) ).
cnf(i_0_2356,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_2009,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188]) ).
cnf(i_0_2357,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2358,plain,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189]) ).
cnf(i_0_2359,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190]) ).
cnf(i_0_2360,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(rename_variables,[],[i_0_1413]) ).
cnf(i_0_2361,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129]) ).
cnf(i_0_2362,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2363,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(rename_variables,[],[i_0_1129]) ).
cnf(i_0_2364,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),X4,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131]) ).
cnf(i_0_2365,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2366,plain,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(rename_variables,[],[i_0_1131]) ).
cnf(i_0_2367,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2041,i_0_2043,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132]) ).
cnf(i_0_2368,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2369,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(rename_variables,[],[i_0_1132]) ).
cnf(i_0_2370,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373]) ).
cnf(i_0_2371,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1373]) ).
cnf(i_0_2372,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374]) ).
cnf(i_0_2373,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1374]) ).
cnf(i_0_2374,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569]) ).
cnf(i_0_2375,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1308]) ).
cnf(i_0_2376,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1569]) ).
cnf(i_0_2377,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610]) ).
cnf(i_0_2378,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2379,plain,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(rename_variables,[],[i_0_1610]) ).
cnf(i_0_2380,plain,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630]) ).
cnf(i_0_2381,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2382,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1630]) ).
cnf(i_0_2383,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646]) ).
cnf(i_0_2384,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2385,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1646]) ).
cnf(i_0_2386,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648]) ).
cnf(i_0_2387,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2388,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1648]) ).
cnf(i_0_2389,plain,
c_lessequals(X1,c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682]) ).
cnf(i_0_2390,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X3,X1,X2) ),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2391,plain,
~ c_lessequals(c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686]) ).
cnf(i_0_2392,plain,
c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1152]) ).
cnf(i_0_2393,plain,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1686]) ).
cnf(i_0_2394,plain,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692]) ).
cnf(i_0_2395,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1692]) ).
cnf(i_0_2396,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693]) ).
cnf(i_0_2397,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2398,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(rename_variables,[],[i_0_1693]) ).
cnf(i_0_2399,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695]) ).
cnf(i_0_2400,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2401,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1695]) ).
cnf(i_0_2402,plain,
c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699]) ).
cnf(i_0_2403,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2404,plain,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(rename_variables,[],[i_0_1699]) ).
cnf(i_0_2405,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710]) ).
cnf(i_0_2406,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1710]) ).
cnf(i_0_2407,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712]) ).
cnf(i_0_2408,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1712]) ).
cnf(i_0_2409,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722]) ).
cnf(i_0_2410,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1722]) ).
cnf(i_0_2411,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_1152,i_0_2306,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732]) ).
cnf(i_0_2412,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1732]) ).
cnf(i_0_2413,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_1152,i_0_2306,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734]) ).
cnf(i_0_2414,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2415,plain,
c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736]) ).
cnf(i_0_2416,plain,
c_lessequals(X1,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1152]) ).
cnf(i_0_2417,plain,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1736]) ).
cnf(i_0_2418,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738]) ).
cnf(i_0_2419,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1738]) ).
cnf(i_0_2420,plain,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739]) ).
cnf(i_0_2421,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(rename_variables,[],[i_0_1739]) ).
cnf(i_0_2422,plain,
c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741]) ).
cnf(i_0_2423,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1741]) ).
cnf(i_0_2424,plain,
c_lessequals(c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742]) ).
cnf(i_0_2425,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1742]) ).
cnf(i_0_2426,plain,
~ c_lessequals(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776]) ).
cnf(i_0_2427,plain,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| X2 = X1 ),
inference(rename_variables,[],[i_0_1776]) ).
cnf(i_0_2428,plain,
~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819]) ).
cnf(i_0_2429,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(rename_variables,[],[i_0_1819]) ).
cnf(i_0_2430,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865]) ).
cnf(i_0_2431,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| c_HOL_Ouminus__class_Ouminus(X1,X3) = X2
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(rename_variables,[],[i_0_1865]) ).
cnf(i_0_2432,plain,
X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866]) ).
cnf(i_0_2433,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(rename_variables,[],[i_0_1866]) ).
cnf(i_0_2434,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881]) ).
cnf(i_0_2435,plain,
( c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(rename_variables,[],[i_0_1881]) ).
cnf(i_0_2436,plain,
v_d(v_sko__CHAINED__1(v_p,v_s____,v_z____)) = v_z____,
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886]) ).
cnf(i_0_2437,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(rename_variables,[],[i_0_1886]) ).
cnf(i_0_2438,plain,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941]) ).
cnf(i_0_2439,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(rename_variables,[],[i_0_1941]) ).
cnf(i_0_2440,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980]) ).
cnf(i_0_2441,plain,
( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1)
| c_HOL_Ozero__class_Ozero(X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
inference(rename_variables,[],[i_0_1980]) ).
cnf(i_0_2442,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Ocos(X1),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150]) ).
cnf(i_0_2443,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(rename_variables,[],[i_0_1413]) ).
cnf(i_0_2444,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201]) ).
cnf(i_0_2445,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(rename_variables,[],[i_0_1413]) ).
cnf(i_0_2446,plain,
~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202]) ).
cnf(i_0_2447,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_2448,plain,
~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203]) ).
cnf(i_0_2449,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(rename_variables,[],[i_0_1413]) ).
cnf(i_0_2450,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859]) ).
cnf(i_0_2451,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1859]) ).
cnf(i_0_2452,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349]) ).
cnf(i_0_2453,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2454,plain,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(rename_variables,[],[i_0_1349]) ).
cnf(i_0_2455,plain,
c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351]) ).
cnf(i_0_2456,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2457,plain,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(rename_variables,[],[i_0_1351]) ).
cnf(i_0_2458,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415]) ).
cnf(i_0_2459,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2460,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1415]) ).
cnf(i_0_2461,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416]) ).
cnf(i_0_2462,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1416]) ).
cnf(i_0_2463,plain,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493]) ).
cnf(i_0_2464,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(rename_variables,[],[i_0_1493]) ).
cnf(i_0_2465,plain,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494]) ).
cnf(i_0_2466,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(rename_variables,[],[i_0_1494]) ).
cnf(i_0_2467,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496]) ).
cnf(i_0_2468,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(rename_variables,[],[i_0_1496]) ).
cnf(i_0_2469,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497]) ).
cnf(i_0_2470,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_2471,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498]) ).
cnf(i_0_2472,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2473,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(rename_variables,[],[i_0_1498]) ).
cnf(i_0_2474,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499]) ).
cnf(i_0_2475,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2476,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(rename_variables,[],[i_0_1499]) ).
cnf(i_0_2477,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_NthRoot_Osqrt(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal))),c_NthRoot_Osqrt(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal))),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507]) ).
cnf(i_0_2478,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(rename_variables,[],[i_0_1507]) ).
cnf(i_0_2479,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508]) ).
cnf(i_0_2480,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2481,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(rename_variables,[],[i_0_1508]) ).
cnf(i_0_2482,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509]) ).
cnf(i_0_2483,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2484,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(rename_variables,[],[i_0_1509]) ).
cnf(i_0_2485,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512]) ).
cnf(i_0_2486,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(rename_variables,[],[i_0_1512]) ).
cnf(i_0_2487,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513]) ).
cnf(i_0_2488,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_1513]) ).
cnf(i_0_2489,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514]) ).
cnf(i_0_2490,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2491,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_1514]) ).
cnf(i_0_2492,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515]) ).
cnf(i_0_2493,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2494,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_1515]) ).
cnf(i_0_2495,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516]) ).
cnf(i_0_2496,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(rename_variables,[],[i_0_1516]) ).
cnf(i_0_2497,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517]) ).
cnf(i_0_2498,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2499,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(rename_variables,[],[i_0_1517]) ).
cnf(i_0_2500,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522]) ).
cnf(i_0_2501,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(rename_variables,[],[i_0_1522]) ).
cnf(i_0_2502,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523]) ).
cnf(i_0_2503,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(rename_variables,[],[i_0_1523]) ).
cnf(i_0_2504,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524]) ).
cnf(i_0_2505,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2506,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(rename_variables,[],[i_0_1524]) ).
cnf(i_0_2507,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_p,v_s____,v_z____),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550]) ).
cnf(i_0_2508,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2509,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1550]) ).
cnf(i_0_2510,plain,
c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611]) ).
cnf(i_0_2511,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1611]) ).
cnf(i_0_2512,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_sko__CHAINED__1(v_p,v_s____,v_z____),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713]) ).
cnf(i_0_2513,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_2514,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1713]) ).
cnf(i_0_2515,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848]) ).
cnf(i_0_2516,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Ring__and__Field_Oordered__idom(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1848]) ).
cnf(i_0_2517,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852]) ).
cnf(i_0_2518,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1852]) ).
cnf(i_0_2519,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356]) ).
cnf(i_0_2520,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2521,plain,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| ~ c_lessequals(X3,X5,X4) ),
inference(rename_variables,[],[i_0_1356]) ).
cnf(i_0_2522,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394]) ).
cnf(i_0_2523,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1394]) ).
cnf(i_0_2524,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395]) ).
cnf(i_0_2525,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1395]) ).
cnf(i_0_2526,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397]) ).
cnf(i_0_2527,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1397]) ).
cnf(i_0_2528,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404]) ).
cnf(i_0_2529,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2)
| ~ c_lessequals(X4,X3,X2) ),
inference(rename_variables,[],[i_0_1404]) ).
cnf(i_0_2530,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406]) ).
cnf(i_0_2531,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2)
| ~ c_lessequals(X4,X3,X2) ),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_2532,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502]) ).
cnf(i_0_2533,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2534,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(rename_variables,[],[i_0_1502]) ).
cnf(i_0_2535,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504]) ).
cnf(i_0_2536,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2537,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(rename_variables,[],[i_0_1504]) ).
cnf(i_0_2538,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505]) ).
cnf(i_0_2539,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2540,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(rename_variables,[],[i_0_1505]) ).
cnf(i_0_2541,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506]) ).
cnf(i_0_2542,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2543,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(rename_variables,[],[i_0_1506]) ).
cnf(i_0_2544,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510]) ).
cnf(i_0_2545,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(rename_variables,[],[i_0_1510]) ).
cnf(i_0_2546,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518]) ).
cnf(i_0_2547,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_1518]) ).
cnf(i_0_2548,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519]) ).
cnf(i_0_2549,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(rename_variables,[],[i_0_1519]) ).
cnf(i_0_2550,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520]) ).
cnf(i_0_2551,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(rename_variables,[],[i_0_1520]) ).
cnf(i_0_2552,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Int_Oint),c_HOL_Ozero__class_Ozero(tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),tc_Int_Oint),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521]) ).
cnf(i_0_2553,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(rename_variables,[],[i_0_1521]) ).
cnf(i_0_2554,plain,
c_lessequals(c_Transcendental_Ocos(c_Transcendental_Opi),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603]) ).
cnf(i_0_2555,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2556,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1603]) ).
cnf(i_0_2557,plain,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613]) ).
cnf(i_0_2558,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2559,plain,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(rename_variables,[],[i_0_1613]) ).
cnf(i_0_2560,plain,
~ c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751]) ).
cnf(i_0_2561,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_1751]) ).
cnf(i_0_2562,plain,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337]) ).
cnf(i_0_2563,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1337]) ).
cnf(i_0_2564,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339]) ).
cnf(i_0_2565,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2566,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1339]) ).
cnf(i_0_2567,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341]) ).
cnf(i_0_2568,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1341]) ).
cnf(i_0_2569,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343]) ).
cnf(i_0_2570,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2571,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2572,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455]) ).
cnf(i_0_2573,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2574,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1455]) ).
cnf(i_0_2575,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538]) ).
cnf(i_0_2576,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2577,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2578,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1538]) ).
cnf(i_0_2579,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_p,v_s____,v_z____),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539]) ).
cnf(i_0_2580,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2581,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1539]) ).
cnf(i_0_2582,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385]) ).
cnf(i_0_2583,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1385]) ).
cnf(i_0_2584,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386]) ).
cnf(i_0_2585,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(X4,X3,X2) ),
inference(rename_variables,[],[i_0_1386]) ).
cnf(i_0_2586,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465]) ).
cnf(i_0_2587,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1465]) ).
cnf(i_0_2588,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467]) ).
cnf(i_0_2589,plain,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
inference(rename_variables,[],[i_0_1467]) ).
cnf(i_0_2590,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487]) ).
cnf(i_0_2591,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2592,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1487]) ).
cnf(i_0_2593,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488]) ).
cnf(i_0_2594,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2595,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1488]) ).
cnf(i_0_2596,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490]) ).
cnf(i_0_2597,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2598,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1490]) ).
cnf(i_0_2599,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492]) ).
cnf(i_0_2600,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1492]) ).
cnf(i_0_2601,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540]) ).
cnf(i_0_2602,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2603,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1540]) ).
cnf(i_0_2604,plain,
~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541]) ).
cnf(i_0_2605,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2606,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1541]) ).
cnf(i_0_2607,plain,
~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616]) ).
cnf(i_0_2608,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_2609,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X3) ),
inference(rename_variables,[],[i_0_1616]) ).
cnf(i_0_2610,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617]) ).
cnf(i_0_2611,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1920]) ).
cnf(i_0_2612,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X2 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X3) ),
inference(rename_variables,[],[i_0_1617]) ).
cnf(i_0_2613,plain,
c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837]) ).
cnf(i_0_2614,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Ring__and__Field_Ofield(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3) ),
inference(rename_variables,[],[i_0_1837]) ).
cnf(i_0_2615,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199]) ).
cnf(i_0_2616,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2617,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2618,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1199]) ).
cnf(i_0_2619,plain,
c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202]) ).
cnf(i_0_2620,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2621,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2622,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X2),X3,X2)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1202]) ).
cnf(i_0_2623,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2620,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281]) ).
cnf(i_0_2624,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2625,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2626,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2627,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1281]) ).
cnf(i_0_2628,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2620,i_0_2626,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290]) ).
cnf(i_0_2629,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2630,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2631,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2632,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1290]) ).
cnf(i_0_2633,plain,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2620,i_0_2626,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292]) ).
cnf(i_0_2634,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1292]) ).
cnf(i_0_2635,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2620,i_0_2626,i_0_2631,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293]) ).
cnf(i_0_2636,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2637,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2638,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_2639,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2620,i_0_2626,i_0_2631,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294]) ).
cnf(i_0_2640,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1294]) ).
cnf(i_0_2641,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295]) ).
cnf(i_0_2642,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2643,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2644,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1295]) ).
cnf(i_0_2645,plain,
~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410]) ).
cnf(i_0_2646,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2647,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1410]) ).
cnf(i_0_2648,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411]) ).
cnf(i_0_2649,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2650,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1411]) ).
cnf(i_0_2651,plain,
~ c_lessequals(v_sko__CHAINED__1(v_p,v_s____,v_z____),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412]) ).
cnf(i_0_2652,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2653,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2654,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1412]) ).
cnf(i_0_2655,plain,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469]) ).
cnf(i_0_2656,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2657,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1469]) ).
cnf(i_0_2658,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470]) ).
cnf(i_0_2659,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2660,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2661,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1470]) ).
cnf(i_0_2662,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471]) ).
cnf(i_0_2663,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2664,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1471]) ).
cnf(i_0_2665,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472]) ).
cnf(i_0_2666,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1914]) ).
cnf(i_0_2667,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2668,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1472]) ).
cnf(i_0_2669,plain,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2667,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2643,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472,i_0_1197]) ).
cnf(i_0_2670,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2671,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2672,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2673,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_2674,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2667,i_0_2670,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2643,i_0_2672,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472,i_0_1197,i_0_1203]) ).
cnf(i_0_2675,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2676,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2677,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2678,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),X3,X2)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
inference(rename_variables,[],[i_0_1203]) ).
cnf(i_0_2679,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2667,i_0_2670,i_0_2675,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2643,i_0_2672,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2085,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472,i_0_1197,i_0_1203,i_0_1265]) ).
cnf(i_0_2680,plain,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_2681,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X5,X1)
| ~ c_lessequals(X4,X3,X1) ),
inference(rename_variables,[],[i_0_1265]) ).
cnf(i_0_2682,plain,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2667,i_0_2670,i_0_2675,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2643,i_0_2672,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2085,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472,i_0_1197,i_0_1203,i_0_1265,i_0_1591]) ).
cnf(i_0_2683,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1591]) ).
cnf(i_0_2684,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2667,i_0_2670,i_0_2675,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2643,i_0_2672,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2085,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472,i_0_1197,i_0_1203,i_0_1265,i_0_1591,i_0_1631]) ).
cnf(i_0_2685,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rename_variables,[],[i_0_1631]) ).
cnf(i_0_2686,plain,
$false,
inference(scs_inference,[],[i_0_1914,i_0_2293,i_0_2324,i_0_2357,i_0_2368,i_0_2508,i_0_2573,i_0_2577,i_0_2580,i_0_2624,i_0_2629,i_0_2646,i_0_2649,i_0_2653,i_0_2656,i_0_2659,i_0_2663,i_0_1802,i_0_1969,i_0_1144,i_0_1656,i_0_1792,i_0_1880,i_0_2142,i_0_1990,i_0_1909,i_0_2009,i_0_1920,i_0_2447,i_0_2608,i_0_1790,i_0_1625,i_0_1727,i_0_1379,i_0_1787,i_0_1413,i_0_2360,i_0_2443,i_0_2445,i_0_1973,i_0_2300,i_0_2303,i_0_2311,i_0_2314,i_0_2362,i_0_2365,i_0_2378,i_0_2381,i_0_2384,i_0_2387,i_0_2397,i_0_2400,i_0_2403,i_0_2453,i_0_2456,i_0_2459,i_0_2472,i_0_2475,i_0_2480,i_0_2483,i_0_2490,i_0_2493,i_0_2498,i_0_2505,i_0_2520,i_0_2533,i_0_2536,i_0_2539,i_0_2542,i_0_2555,i_0_2558,i_0_2565,i_0_2570,i_0_2576,i_0_2591,i_0_2594,i_0_2597,i_0_2602,i_0_2605,i_0_2617,i_0_2621,i_0_2625,i_0_2630,i_0_2636,i_0_2642,i_0_2660,i_0_2667,i_0_2670,i_0_2675,i_0_2620,i_0_2626,i_0_2631,i_0_2637,i_0_2643,i_0_2672,i_0_2041,i_0_2043,i_0_2058,i_0_2060,i_0_2062,i_0_2064,i_0_2065,i_0_2069,i_0_2071,i_0_2073,i_0_2074,i_0_2075,i_0_2085,i_0_2087,i_0_2094,i_0_2095,i_0_2106,i_0_2122,i_0_2124,i_0_2126,i_0_2127,i_0_2128,i_0_2130,i_0_2132,i_0_2133,i_0_2137,i_0_2139,i_0_2140,i_0_2143,i_0_2144,i_0_1824,i_0_1970,i_0_1308,i_0_2375,i_0_1152,i_0_2306,i_0_2392,i_0_1151,i_0_1893,i_0_1619,i_0_1791,i_0_1793,i_0_2267,i_0_2271,i_0_1655,i_0_1798,i_0_1804,i_0_1807,i_0_1822,i_0_1834,i_0_1869,i_0_1891,i_0_1942,i_0_2266,i_0_2269,i_0_1719,i_0_1771,i_0_1795,i_0_1799,i_0_1806,i_0_1808,i_0_1889,i_0_2149,i_0_1962,i_0_1105,i_0_1134,i_0_1148,i_0_1530,i_0_1644,i_0_1645,i_0_1647,i_0_1731,i_0_1733,i_0_1740,i_0_1759,i_0_1760,i_0_1761,i_0_1762,i_0_1765,i_0_1892,i_0_1894,i_0_2188,i_0_2189,i_0_2190,i_0_1129,i_0_1131,i_0_1132,i_0_1373,i_0_1374,i_0_1569,i_0_1610,i_0_1630,i_0_1646,i_0_1648,i_0_1682,i_0_1686,i_0_1692,i_0_1693,i_0_1695,i_0_1699,i_0_1710,i_0_1712,i_0_1722,i_0_1732,i_0_1734,i_0_1736,i_0_1738,i_0_1739,i_0_1741,i_0_1742,i_0_1776,i_0_1819,i_0_1865,i_0_1866,i_0_1881,i_0_1886,i_0_1941,i_0_1980,i_0_2150,i_0_2201,i_0_2202,i_0_2203,i_0_1859,i_0_1349,i_0_1351,i_0_1415,i_0_1416,i_0_1493,i_0_1494,i_0_1496,i_0_1497,i_0_1498,i_0_1499,i_0_1507,i_0_1508,i_0_1509,i_0_1512,i_0_1513,i_0_1514,i_0_1515,i_0_1516,i_0_1517,i_0_1522,i_0_1523,i_0_1524,i_0_1550,i_0_1611,i_0_1713,i_0_1848,i_0_1852,i_0_1356,i_0_1394,i_0_1395,i_0_1397,i_0_1404,i_0_1406,i_0_1502,i_0_1504,i_0_1505,i_0_1506,i_0_1510,i_0_1518,i_0_1519,i_0_1520,i_0_1521,i_0_1603,i_0_1613,i_0_1751,i_0_1337,i_0_1339,i_0_1341,i_0_1343,i_0_1455,i_0_1538,i_0_1539,i_0_1385,i_0_1386,i_0_1465,i_0_1467,i_0_1487,i_0_1488,i_0_1490,i_0_1492,i_0_1540,i_0_1541,i_0_1616,i_0_1617,i_0_1837,i_0_1199,i_0_1202,i_0_1281,i_0_1290,i_0_1292,i_0_1293,i_0_1294,i_0_1295,i_0_1410,i_0_1411,i_0_1412,i_0_1469,i_0_1470,i_0_1471,i_0_1472,i_0_1197,i_0_1203,i_0_1265,i_0_1591,i_0_1631,i_0_2270]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG375-1 : TPTP v9.2.1. Released v4.1.0.
% 0.13/0.13 % 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
% 0.17/0.34 % Computer : n009.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 10:32:41 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 5.81/5.75 % Version : CSE_E---1.7
% 5.81/5.75 % Problem : theBenchmark.p
% 5.81/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 5.81/5.75 % SZS output start CNFRefutation
% See solution above
% 15.98/10.82 % Total time : 5.392s
%------------------------------------------------------------------------------