%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG354-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 04:08:31 PM UTC 2026
% Result : Unsatisfiable 0.39s 1.75s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.22 % Problem : ALG354-1 : TPTP v9.2.1. Released v4.1.0.
% 0.03/0.22 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.46 % Computer : n019.cluster.edu
% 0.11/0.46 % Model : x86_64 x86_64
% 0.11/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.46 % Memory : 8042.1875MB
% 0.11/0.46 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.46 % CPULimit : 300
% 0.11/0.46 % WCLimit : 300
% 0.11/0.46 % DateTime : Tue May 5 10:32:29 EDT 2026
% 0.11/0.46 % CPUTime :
% 0.11/0.47 % start to proof: theBenchmark
% 0.39/1.75 % Version : CSE_E---1.7
% 0.39/1.75 % Problem : theBenchmark.p
% 0.39/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 0.39/1.75 % SZS output start CNFRefutation
% 0.39/1.75 cnf(cls_conjecture_1, negated_conjecture, (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X1,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_1)).
% 0.39/1.75 cnf(cls_that_0, axiom, (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X1,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_that_0)).
% 0.39/1.75 cnf(cls_CHAINED_0_02, axiom, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|v_m____=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0_02)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_sum__squares__gt__zero__iff_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__frac__eq_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_not__sum__squares__lt__zero_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_combine__common__factor_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Onoteq__reduce_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Oadd__mul__solve_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_9)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_8)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_9)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_8)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_gt__half__sum_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__half__sum_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__strict__left__mono_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__strict__left__mono__neg_0)).
% 0.39/1.75 cnf(cls_power__Suc__less_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__Suc__less_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_norm__add__less_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_norm__mult__less_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I15_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I14_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_sum__squares__gt__zero__iff_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_sum__squares__gt__zero__iff_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_5)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_4)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_5)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_4)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_7)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_7)).
% 0.39/1.75 cnf(cls_power__less__power__Suc_0, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__less__power__Suc_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__neg_0)).
% 0.39/1.75 cnf(cls_power__less__imp__less__exp_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__less__imp__less__exp_0)).
% 0.39/1.75 cnf(cls_power__strict__increasing__iff_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__strict__increasing__iff_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__frac__num_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__num__frac_0)).
% 0.39/1.75 cnf(cls_power__strict__decreasing_0, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__strict__decreasing_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__disj_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__right__disj_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Onoteq__reduce_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Oadd__mul__solve_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__frac__frac_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__right__disj_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__disj_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__disj_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__right__disj_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I20_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I13_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__right__disj_3)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__disj_3)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Oadd__scale__eq__noteq_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_6)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_6)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__imp__div__pos__less_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__imp__less__div__pos_0)).
% 0.39/1.75 cnf(cls_power__gt1__lemma_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__gt1__lemma_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__less__cancel__right_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__less__cancel__left_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__strict__right__mono_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__strict__left__mono__comm_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__strict__left__mono_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__pos_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__disj_4)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__strict__right__mono_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__right__disj_4)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__strict__right__mono__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__neg_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__strict__left__mono__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__left__disj_5)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__strict__right__mono__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel__right__disj_5)).
% 0.39/1.75 cnf(cls_power__strict__increasing_0, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__strict__increasing_0)).
% 0.39/1.75 cnf(cls_power__strict__increasing__iff_1, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__strict__increasing__iff_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__strict__mono_0)).
% 0.39/1.75 cnf(cls_power__divide_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__divide_0)).
% 0.39/1.75 cnf(cls_nonzero__power__divide_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__power__divide_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_sum__squares__eq__zero__iff_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_sum__squares__eq__zero__iff_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I1_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide_Oadd_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__divide__distrib_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_comm__semiring__class_Odistrib_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__left_Oadd_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult_Oadd__left_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I8_J_0)).
% 0.39/1.75 cnf(cls_power__mult__distrib_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__mult__distrib_0)).
% 0.39/1.75 cnf(cls_class__semiring_Opwr__mul_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Opwr__mul_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__right_Oadd_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult_Oadd__right_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Omul__d_0)).
% 0.39/1.75 cnf(cls_power__minus_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X3,X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__minus_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__mult__pos2_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__mult__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_real__add__mult__distrib_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__cancel__21_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__iff_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__iff_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__iff_3)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__iff_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__iff_3)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__iff_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__iff_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__iff_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__eq_3)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__divide__eq_3)).
% 0.39/1.75 cnf(cls_power__Suc__less__one_0, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__Suc__less__one_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__iff_5)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__iff_4)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__iff_4)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__iff_5)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__neg__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__pos__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__neg__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__pos__neg2_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__pos__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__neg__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_less__1__mult_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__pos__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__pos__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__pos__pos_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__neg__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__neg__neg_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__less__cancel__left_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__strict__left__mono_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__less__cancel__right_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__strict__right__mono_0)).
% 0.39/1.75 cnf(cls_zero__less__power__eq_2, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__less__power__eq_2)).
% 0.39/1.75 cnf(cls_one__less__power_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__less__power_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__1__iff_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__1__iff_0)).
% 0.39/1.75 cnf(cls_power__one__over_0, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__one__over_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_pos__add__strict_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__divide__mult__cancel__left_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__divide__mult__cancel__right_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I2_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I3_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_mult__frac__num_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__double__add__iff__zero__less__single__add_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_double__add__less__zero__iff__single__less__zero_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_even__less__0__iff_0)).
% 0.39/1.75 cnf(cls_power__less__zero__eq_1, 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_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__less__zero__eq_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I23_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I16_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_ab__semigroup__add__class_Oadd__ac_I1_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_comm__monoid__add_Omult__assoc_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I21_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_ab__semigroup__mult__class_Omult__ac_I1_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I17_J_0)).
% 0.39/1.75 cnf(cls_power__commutes_0, axiom, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__mult(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__commutes_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I25_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Oadd__a_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I18_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Omul__a_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_comm__monoid__add_Omult__left__commute_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__cancel__21_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I22_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I19_J_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_sum__squares__eq__zero__iff_2)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_real__mult__assoc_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_frac__eq__eq_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_frac__eq__eq_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_divide__less__0__1__iff_1)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__divide__1__iff_1)).
% 0.39/1.75 cnf(cls_power__gt1_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__gt1_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_add__cancel__end_0)).
% 0.39/1.75 cnf(cls_power__inject__exp_0, axiom, (X3=X4|~class_Ring__and__Field_Oordered__semidom(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__inject__exp_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_not__square__less__zero_0)).
% 0.39/1.75 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/sandbox/benchmark/theBenchmark.p', cls_double__add__less__zero__iff__single__less__zero_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_even__less__0__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__double__add__iff__zero__less__single__add_1)).
% 0.39/1.76 cnf(cls_zero__less__power_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__less__power_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I4_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_order__less__trans_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_xt1_I10_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__add__distrib_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__add_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_norm__mult_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__less__iff__less_0)).
% 0.39/1.76 cnf(cls_class__semiring_Osemiring__rules_I28_J_0, axiom, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I28_J_0)).
% 0.39/1.76 cnf(cls_class__semiring_Osemiring__rules_I27_J_0, axiom, (c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I27_J_0)).
% 0.39/1.76 cnf(cls_power__Suc2_0, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)|~class_OrderedGroup_Omonoid__mult(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__Suc2_0)).
% 0.39/1.76 cnf(cls_power__Suc_0, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Power_Opower(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__Suc_0)).
% 0.39/1.76 cnf(cls_class__semiring_Osemiring__rules_I35_J_0, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I35_J_0)).
% 0.39/1.76 cnf(cls_class__semiring_Opwr__Suc_0, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Opwr__Suc_0)).
% 0.39/1.76 cnf(cls_less__trans__Suc_0, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__trans__Suc_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__left__idem_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_add__minus__cancel_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__divide__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__less__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__less__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_less__minus__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_less__minus__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_nonzero__minus__divide__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide_Ominus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__left_Ominus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult_Ominus__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__right_Ominus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult_Ominus__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__divide__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__mult__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__mult__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__less__0__iff__less_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__0__less__iff__less_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__less__iff__less_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__two_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_square__eq__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__add__cancel_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_add__cancel__end_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_less__minus__self__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__eq__eq_4)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__divide__eq_4)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__less__0__iff__less_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__0__less__iff__less_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Oadd__cancel_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_less__minus__self__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__eq__eq_3)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__divide__eq_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__divide__eq_3)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__eq__eq_0)).
% 0.39/1.76 cnf(cls_zero__less__power__eq_3, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__less__power__eq_3)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_less__add__one_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_add__right__cancel_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_add__imp__eq_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_add__left__cancel_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_order__less__asym_H_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_order__less__asym_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_not__less__iff__gr__or__eq_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_xt1_I9_J_0)).
% 0.39/1.76 cnf(cls_not__less__eq_1, axiom, (~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__less__eq_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__divide__divide_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__eq__imp_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__divide__imp_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_nonzero__minus__divide__divide_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_square__eq__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__mult__minus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__mult__commute_0)).
% 0.39/1.76 cnf(cls_Suc__less__eq_0, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__less__eq_0)).
% 0.39/1.76 cnf(cls_Suc__mono_0, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__mono_0)).
% 0.39/1.76 cnf(cls_less__Suc__eq__0__disj_3, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__Suc__eq__0__disj_3)).
% 0.39/1.76 cnf(cls_less__SucE_0, axiom, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__SucE_0)).
% 0.39/1.76 cnf(cls_not__less__less__Suc__eq_0, axiom, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__less__less__Suc__eq_0)).
% 0.39/1.76 cnf(cls_less__antisym_0, axiom, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__antisym_0)).
% 0.39/1.76 cnf(cls_Suc__lessI_0, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|c_Suc(X1)=X2|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__lessI_0)).
% 0.39/1.76 cnf(cls_Suc__lessD_0, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__lessD_0)).
% 0.39/1.76 cnf(cls_nat__lt__two__imp__zero__or__one_0, axiom, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__lt__two__imp__zero__or__one_0)).
% 0.39/1.76 cnf(cls_less__SucI_0, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__SucI_0)).
% 0.39/1.76 cnf(cls_power__eq__0__iff_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Power_Opower(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__eq__0__iff_0)).
% 0.39/1.76 cnf(cls_power__eq__0__iff_1, axiom, (~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Power_Opower(X1)|c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__eq__0__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_linorder__neqE_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_linorder__less__linear_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_linorder__antisym__conv3_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_not__less__iff__gr__or__eq_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_linorder__neqE__ordered__idom_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_comm__monoid__add_Omult__commute_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I24_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Oadd__c_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I7_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Omul__c_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__unique_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__neg__iff__add__eq__0_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__ring_Oneg__mul_0)).
% 0.39/1.76 cnf(cls_not__less__less__Suc__eq_1, axiom, (c_HOL_Oord__class_Oless(X1,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__less__less__Suc__eq_1)).
% 0.39/1.76 cnf(cls_not__less__eq_0, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__less__eq_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_not__one__less__zero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__eq__0__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_no__zero__divirors__neq0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_no__zero__divisors_0)).
% 0.39/1.76 cnf(cls_nat__neq__iff_0, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|X2=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__neq__iff_0)).
% 0.39/1.76 cnf(cls_linorder__neqE__nat_0, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|X2=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__neqE__nat_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Oadd__r0__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_right__inverse__eq_0)).
% 0.39/1.76 cnf(cls_less__Suc0_0, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__Suc0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_real__mult__commute_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_double__eq__0__iff_0)).
% 0.39/1.76 cnf(cls_field__power__not__zero_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_field__power__not__zero_0)).
% 0.39/1.76 cnf(cls_power__eq__0__iff_2, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Power_Opower(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__eq__0__iff_2)).
% 0.39/1.76 cnf(cls_order__less__irrefl_0, axiom, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__less__irrefl_0)).
% 0.39/1.76 cnf(cls_linorder__neq__iff_1, axiom, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__neq__iff_1)).
% 0.39/1.76 cnf(cls_order__less__le_1, axiom, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__less__le_1)).
% 0.39/1.76 cnf(cls_neq0__conv_1, axiom, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neq0__conv_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__neg__iff__add__eq__0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_left__minus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_ab__left__minus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_right__minus_0)).
% 0.39/1.76 cnf(cls_gr__implies__not0_0, axiom, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_gr__implies__not0_0)).
% 0.39/1.76 cnf(cls_not__less0_0, axiom, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__less0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__self__if_0)).
% 0.39/1.76 cnf(cls_power__0__Suc_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__0__Suc_0)).
% 0.39/1.76 cnf(cls_real__less__def_1, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_real__less__def_1)).
% 0.39/1.76 cnf(cls_nat__less__le_1, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__less__le_1)).
% 0.39/1.76 cnf(cls_less__not__refl_0, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__not__refl_0)).
% 0.39/1.76 cnf(cls_power__0__left_1, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__0__left_1)).
% 0.39/1.76 cnf(cls_power__0__left_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__0__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__eq__eq_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__zero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_eq__divide__eq_2)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__self__if_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_double__eq__0__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Oadd__r0__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_zero__less__one_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide_Ozero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__zero__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__eq__0__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult_Ozero__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__left_Ozero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__zero__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Omul__0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I9_J_0)).
% 0.39/1.76 cnf(cls_power__one_0, axiom, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__one_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__eq__0__iff_2)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__right_Ozero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult_Ozero__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__zero__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I10_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_right__inverse__eq_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__self_0)).
% 0.39/1.76 cnf(cls_power__0_0, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Power_Opower(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__0_0)).
% 0.39/1.76 cnf(cls_class__semiring_Opwr__0_0, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Opwr__0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_comm__monoid__add_Omult__1_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_add__0__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I5_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Oadd__0_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__1_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__1__left_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I11_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Omul__1_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_comm__monoid__add_Omult__1__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_monoid__add__class_Oadd__0__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I6_J_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_divide__1_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__1__right_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I12_J_0)).
% 0.39/1.76 cnf(cls_less__Suc0_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__Suc0_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_mult__idem_0)).
% 0.39/1.76 cnf(cls_zero__less__Suc_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__less__Suc_0)).
% 0.39/1.76 cnf(cls_gr0__conv__Suc_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_gr0__conv__Suc_1)).
% 0.39/1.76 cnf(cls_real__mult__is__one_1, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_real__mult__is__one_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_norm__minus__cancel_0)).
% 0.39/1.76 cnf(cls_gr0I_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_gr0I_0)).
% 0.39/1.76 cnf(cls_lessI_0, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_lessI_0)).
% 0.39/1.76 cnf(cls_less__Suc__eq_2, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__Suc__eq_2)).
% 0.39/1.76 cnf(cls_real__mult__1_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_real__mult__1_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_compl__eq__compl__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__equal__iff__equal_0)).
% 0.39/1.76 cnf(cls_CHAINED_0, axiom, (c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_double__compl_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__equation__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__minus_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_equation__minus__iff_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_equation__minus__iff_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__0__equal__iff__equal_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__equal__0__iff__equal_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__equal__zero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__equal__zero_1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_minus__zero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_neg__0__equal__iff__equal_1)).
% 0.39/1.76 cnf(cls_norm__one_0, axiom, (c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_norm__one_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_one__neq__zero_0)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', cls_zero__neq__one_0)).
% 0.39/1.76 cnf(cls_Suc__inject_0, axiom, (X1=X2|c_Suc(X1)!=c_Suc(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__inject_0)).
% 0.39/1.76 cnf(cls_nat_Oinject_0, axiom, (X1=X2|c_Suc(X1)!=c_Suc(X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat_Oinject_0)).
% 0.39/1.76 cnf(cls_Zero__neq__Suc_0, axiom, (c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Zero__neq__Suc_0)).
% 0.39/1.76 cnf(cls_nat_Osimps_I2_J_0, axiom, (c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat_Osimps_I2_J_0)).
% 0.39/1.76 cnf(cls_Suc__neq__Zero_0, axiom, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__neq__Zero_0)).
% 0.39/1.76 cnf(cls_nat_Osimps_I3_J_0, axiom, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat_Osimps_I3_J_0)).
% 0.39/1.76 cnf(cls_Suc__n__not__n_0, axiom, (c_Suc(X1)!=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Suc__n__not__n_0)).
% 0.39/1.76 cnf(cls_n__not__Suc__n_0, axiom, (X1!=c_Suc(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_n__not__Suc__n_0)).
% 0.39/1.76 cnf(cls_CHAINED_0_01, axiom, (v_m____!=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0_01)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring, axiom, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring, axiom, (class_Ring__and__Field_Osemiring(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Osemiring)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Osemiring, axiom, (class_Ring__and__Field_Osemiring(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Osemiring)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Oab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Ocomm__monoid__mult)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Oab__semigroup__mult)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Ocomm__semiring)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Ocancel__semigroup__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1, axiom, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1, axiom, (class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder, axiom, (class_Orderings_Opreorder(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Orderings_Opreorder)).
% 0.39/1.76 cnf(clsarity_nat__Orderings_Opreorder, axiom, (class_Orderings_Opreorder(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Orderings_Opreorder)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder, axiom, (class_Orderings_Olinorder(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Orderings_Olinorder)).
% 0.39/1.76 cnf(clsarity_nat__Orderings_Olinorder, axiom, (class_Orderings_Olinorder(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Orderings_Olinorder)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Orderings_Oorder, axiom, (class_Orderings_Oorder(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Orderings_Oorder)).
% 0.39/1.76 cnf(clsarity_nat__Orderings_Oorder, axiom, (class_Orderings_Oorder(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Orderings_Oorder)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1, axiom, (class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1, axiom, (class_Ring__and__Field_Oring__1(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oring__1)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add, axiom, (class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra, axiom, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra, axiom, (class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult, axiom, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult, axiom, (class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Omonoid__mult, axiom, (class_OrderedGroup_Omonoid__mult(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Omonoid__mult)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Opordered__comm__monoid__add)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict, axiom, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Oordered__semiring__strict)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict, axiom, (class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector, axiom, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors, axiom, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors, axiom, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field, axiom, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field, axiom, (class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__RealVector_Oreal__normed__field)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Ocomm__monoid__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add, axiom, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add, axiom, (class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add)).
% 0.39/1.76 cnf(clsarity_nat__OrderedGroup_Omonoid__add, axiom, (class_OrderedGroup_Omonoid__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Omonoid__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring, axiom, (class_Int_Onumber__ring(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Int_Onumber__ring)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring, axiom, (class_Int_Onumber__ring(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Int_Onumber__ring)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add, axiom, (class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, axiom, (class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add, axiom, (class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, axiom, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add, axiom, (class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield, axiom, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ofield)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield, axiom, (class_Ring__and__Field_Ofield(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Ofield)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom, axiom, (class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom, axiom, (class_Ring__and__Field_Oordered__semidom(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Oordered__semidom)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add, axiom, (class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero, axiom, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero, axiom, (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field, axiom, (class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors)).
% 0.39/1.76 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/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom, axiom, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Oidom)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom, axiom, (class_Ring__and__Field_Oidom(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oidom)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, axiom, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra, axiom, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring, axiom, (class_Ring__and__Field_Oring(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Oring)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring, axiom, (class_Ring__and__Field_Oring(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oring)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom, axiom, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero, axiom, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero, axiom, (class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Omult__zero, axiom, (class_Ring__and__Field_Omult__zero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Omult__zero)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Ono__zero__divisors)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Ozero__neq__one)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0, axiom, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0, axiom, (class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Osemiring__0, axiom, (class_Ring__and__Field_Osemiring__0(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Osemiring__0)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Power_Opower, axiom, (class_Power_Opower(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Power_Opower)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Power_Opower, axiom, (class_Power_Opower(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Power_Opower)).
% 0.39/1.76 cnf(clsarity_nat__Power_Opower, axiom, (class_Power_Opower(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Power_Opower)).
% 0.39/1.76 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1)).
% 0.39/1.76 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1)).
% 0.39/1.76 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Ocomm__semiring__1)).
% 0.39/1.76 cnf(cls_conjecture_0, negated_conjecture, (~v_thesis____), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 0.39/1.76 cnf(i_0_478, negated_conjecture, (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X1,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), cls_conjecture_1, ['final']).
% 0.39/1.76 cnf(i_0_479, axiom, (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X1,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), cls_that_0, ['final']).
% 0.39/1.76 cnf(i_0_480, axiom, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|v_m____=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)), cls_CHAINED_0_02, ['final']).
% 0.39/1.76 cnf(i_0_481, 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']).
% 0.39/1.76 cnf(i_0_482, 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']).
% 0.39/1.76 cnf(i_0_483, 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']).
% 0.39/1.76 cnf(i_0_484, 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']).
% 0.39/1.76 cnf(i_0_485, 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']).
% 0.39/1.76 cnf(i_0_486, 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']).
% 0.39/1.76 cnf(i_0_487, 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']).
% 0.39/1.76 cnf(i_0_488, 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']).
% 0.39/1.76 cnf(i_0_489, 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']).
% 0.39/1.76 cnf(i_0_490, 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']).
% 0.39/1.76 cnf(i_0_491, 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']).
% 0.39/1.76 cnf(i_0_492, 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']).
% 0.39/1.76 cnf(i_0_493, 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']).
% 0.39/1.76 cnf(i_0_494, 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']).
% 0.39/1.76 cnf(i_0_495, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_power__Suc__less_0, ['final']).
% 0.39/1.76 cnf(i_0_496, 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']).
% 0.39/1.76 cnf(i_0_497, 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']).
% 0.39/1.76 cnf(i_0_498, 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']).
% 0.39/1.76 cnf(i_0_499, 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']).
% 0.39/1.76 cnf(i_0_500, 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']).
% 0.39/1.76 cnf(i_0_501, 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']).
% 0.39/1.76 cnf(i_0_502, 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']).
% 0.39/1.76 cnf(i_0_503, 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']).
% 0.39/1.76 cnf(i_0_504, 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']).
% 0.39/1.76 cnf(i_0_505, 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']).
% 0.39/1.76 cnf(i_0_506, 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']).
% 0.39/1.76 cnf(i_0_507, 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']).
% 0.39/1.76 cnf(i_0_508, 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']).
% 0.39/1.76 cnf(i_0_509, 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']).
% 0.39/1.76 cnf(i_0_510, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_power__less__power__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_511, 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']).
% 0.39/1.76 cnf(i_0_512, 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']).
% 0.39/1.76 cnf(i_0_513, axiom, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)), cls_power__less__imp__less__exp_0, ['final']).
% 0.39/1.76 cnf(i_0_514, axiom, (c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X2,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X4,X1)), cls_power__strict__increasing__iff_0, ['final']).
% 0.39/1.76 cnf(i_0_515, 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']).
% 0.39/1.76 cnf(i_0_516, 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']).
% 0.39/1.76 cnf(i_0_517, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X4,X3,tc_nat)), cls_power__strict__decreasing_0, ['final']).
% 0.39/1.76 cnf(i_0_518, 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']).
% 0.39/1.76 cnf(i_0_519, 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']).
% 0.39/1.76 cnf(i_0_520, 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']).
% 0.39/1.76 cnf(i_0_521, 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']).
% 0.39/1.76 cnf(i_0_522, 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']).
% 0.39/1.76 cnf(i_0_523, 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']).
% 0.39/1.76 cnf(i_0_524, 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']).
% 0.39/1.76 cnf(i_0_525, 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']).
% 0.39/1.76 cnf(i_0_526, 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']).
% 0.39/1.76 cnf(i_0_527, 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']).
% 0.39/1.76 cnf(i_0_528, 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']).
% 0.39/1.76 cnf(i_0_529, 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']).
% 0.39/1.76 cnf(i_0_530, 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']).
% 0.39/1.76 cnf(i_0_531, 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']).
% 0.39/1.76 cnf(i_0_532, 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']).
% 0.39/1.76 cnf(i_0_533, 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']).
% 0.39/1.76 cnf(i_0_534, 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']).
% 0.39/1.76 cnf(i_0_535, 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']).
% 0.39/1.76 cnf(i_0_536, 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']).
% 0.39/1.76 cnf(i_0_537, 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']).
% 0.39/1.76 cnf(i_0_538, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_power__gt1__lemma_0, ['final']).
% 0.39/1.76 cnf(i_0_539, 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']).
% 0.39/1.76 cnf(i_0_540, 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']).
% 0.39/1.76 cnf(i_0_541, 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']).
% 0.39/1.76 cnf(i_0_542, 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']).
% 0.39/1.76 cnf(i_0_543, 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']).
% 0.39/1.76 cnf(i_0_544, 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']).
% 0.39/1.76 cnf(i_0_545, 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']).
% 0.39/1.76 cnf(i_0_546, 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']).
% 0.39/1.76 cnf(i_0_547, 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']).
% 0.39/1.76 cnf(i_0_548, 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']).
% 0.39/1.76 cnf(i_0_549, 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']).
% 0.39/1.76 cnf(i_0_550, 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']).
% 0.39/1.76 cnf(i_0_551, 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']).
% 0.39/1.76 cnf(i_0_552, 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']).
% 0.39/1.76 cnf(i_0_553, 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']).
% 0.39/1.76 cnf(i_0_554, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)), cls_power__strict__increasing_0, ['final']).
% 0.39/1.76 cnf(i_0_555, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_power__strict__increasing__iff_1, ['final']).
% 0.39/1.76 cnf(i_0_556, 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']).
% 0.39/1.76 cnf(i_0_557, 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']).
% 0.39/1.76 cnf(i_0_558, 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']).
% 0.39/1.76 cnf(i_0_559, axiom, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_power__divide_0, ['final']).
% 0.39/1.76 cnf(i_0_560, axiom, (c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)=c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), cls_nonzero__power__divide_0, ['final']).
% 0.39/1.76 cnf(i_0_561, 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']).
% 0.39/1.76 cnf(i_0_562, 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']).
% 0.39/1.76 cnf(i_0_563, 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']).
% 0.39/1.76 cnf(i_0_564, 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']).
% 0.39/1.76 cnf(i_0_565, 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']).
% 0.39/1.76 cnf(i_0_566, 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']).
% 0.39/1.76 cnf(i_0_567, 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']).
% 0.39/1.76 cnf(i_0_568, 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']).
% 0.39/1.76 cnf(i_0_569, 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']).
% 0.39/1.76 cnf(i_0_570, axiom, (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_OrderedGroup_Ocomm__monoid__mult(X1)), cls_power__mult__distrib_0, ['final']).
% 0.39/1.76 cnf(i_0_571, axiom, (c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Opwr__mul_0, ['final']).
% 0.39/1.76 cnf(i_0_572, 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']).
% 0.39/1.76 cnf(i_0_573, 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']).
% 0.39/1.76 cnf(i_0_574, 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']).
% 0.39/1.76 cnf(i_0_575, axiom, (c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X3,X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oring__1(X1)), cls_power__minus_0, ['final']).
% 0.39/1.76 cnf(i_0_576, 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']).
% 0.39/1.76 cnf(i_0_577, 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']).
% 0.39/1.76 cnf(i_0_578, 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']).
% 0.39/1.76 cnf(i_0_579, 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']).
% 0.39/1.76 cnf(i_0_580, 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']).
% 0.39/1.76 cnf(i_0_581, 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']).
% 0.39/1.76 cnf(i_0_582, 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']).
% 0.39/1.76 cnf(i_0_583, 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']).
% 0.39/1.76 cnf(i_0_584, 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']).
% 0.39/1.76 cnf(i_0_585, 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']).
% 0.39/1.76 cnf(i_0_586, 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']).
% 0.39/1.76 cnf(i_0_587, 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']).
% 0.39/1.76 cnf(i_0_588, 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']).
% 0.39/1.76 cnf(i_0_589, 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']).
% 0.39/1.76 cnf(i_0_590, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_power__Suc__less__one_0, ['final']).
% 0.39/1.76 cnf(i_0_591, 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']).
% 0.39/1.76 cnf(i_0_592, 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']).
% 0.39/1.76 cnf(i_0_593, 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']).
% 0.39/1.76 cnf(i_0_594, 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']).
% 0.39/1.76 cnf(i_0_595, 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']).
% 0.39/1.76 cnf(i_0_596, 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']).
% 0.39/1.76 cnf(i_0_597, 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']).
% 0.39/1.76 cnf(i_0_598, 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']).
% 0.39/1.76 cnf(i_0_599, 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']).
% 0.39/1.76 cnf(i_0_600, 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']).
% 0.39/1.76 cnf(i_0_601, 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']).
% 0.39/1.76 cnf(i_0_602, 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']).
% 0.39/1.76 cnf(i_0_603, 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']).
% 0.39/1.76 cnf(i_0_604, 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']).
% 0.39/1.76 cnf(i_0_605, 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']).
% 0.39/1.76 cnf(i_0_606, 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']).
% 0.39/1.76 cnf(i_0_607, 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']).
% 0.39/1.76 cnf(i_0_608, 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']).
% 0.39/1.76 cnf(i_0_609, 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']).
% 0.39/1.76 cnf(i_0_610, 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']).
% 0.39/1.76 cnf(i_0_611, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1),X1)), cls_zero__less__power__eq_2, ['final']).
% 0.39/1.76 cnf(i_0_612, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_one__less__power_0, ['final']).
% 0.39/1.76 cnf(i_0_613, 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']).
% 0.39/1.76 cnf(i_0_614, 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']).
% 0.39/1.76 cnf(i_0_615, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_power__one__over_0, ['final']).
% 0.39/1.76 cnf(i_0_616, 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']).
% 0.39/1.76 cnf(i_0_617, 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']).
% 0.39/1.76 cnf(i_0_618, 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']).
% 0.39/1.76 cnf(i_0_619, 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']).
% 0.39/1.76 cnf(i_0_620, 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']).
% 0.39/1.76 cnf(i_0_621, 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']).
% 0.39/1.76 cnf(i_0_622, 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']).
% 0.39/1.76 cnf(i_0_623, 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']).
% 0.39/1.76 cnf(i_0_624, 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']).
% 0.39/1.76 cnf(i_0_625, 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_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_power__less__zero__eq_1, ['final']).
% 0.39/1.76 cnf(i_0_626, 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']).
% 0.39/1.76 cnf(i_0_627, 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']).
% 0.39/1.76 cnf(i_0_628, 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']).
% 0.39/1.76 cnf(i_0_629, 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']).
% 0.39/1.76 cnf(i_0_630, 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']).
% 0.39/1.76 cnf(i_0_631, 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']).
% 0.39/1.76 cnf(i_0_632, 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']).
% 0.39/1.76 cnf(i_0_633, axiom, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_OrderedGroup_Omonoid__mult(X1)), cls_power__commutes_0, ['final']).
% 0.39/1.76 cnf(i_0_634, 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']).
% 0.39/1.76 cnf(i_0_635, 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']).
% 0.39/1.76 cnf(i_0_636, 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']).
% 0.39/1.76 cnf(i_0_637, 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']).
% 0.39/1.76 cnf(i_0_638, 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']).
% 0.39/1.76 cnf(i_0_639, 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']).
% 0.39/1.76 cnf(i_0_640, 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']).
% 0.39/1.76 cnf(i_0_641, 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']).
% 0.39/1.76 cnf(i_0_642, 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']).
% 0.39/1.76 cnf(i_0_643, 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']).
% 0.39/1.76 cnf(i_0_644, 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']).
% 0.39/1.76 cnf(i_0_645, 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']).
% 0.39/1.76 cnf(i_0_646, 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']).
% 0.39/1.76 cnf(i_0_647, 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']).
% 0.39/1.76 cnf(i_0_648, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,c_Suc(X3),X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_power__gt1_0, ['final']).
% 0.39/1.76 cnf(i_0_649, 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']).
% 0.39/1.76 cnf(i_0_650, axiom, (X3=X4|~class_Ring__and__Field_Oordered__semidom(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_power__inject__exp_0, ['final']).
% 0.39/1.76 cnf(i_0_651, 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']).
% 0.39/1.76 cnf(i_0_652, 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']).
% 0.39/1.76 cnf(i_0_653, 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']).
% 0.39/1.76 cnf(i_0_654, 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']).
% 0.39/1.76 cnf(i_0_655, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__less__power_0, ['final']).
% 0.39/1.76 cnf(i_0_656, 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']).
% 0.39/1.76 cnf(i_0_657, 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']).
% 0.39/1.76 cnf(i_0_658, 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']).
% 0.39/1.76 cnf(i_0_659, 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']).
% 0.39/1.76 cnf(i_0_660, 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']).
% 0.39/1.76 cnf(i_0_661, 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']).
% 0.39/1.76 cnf(i_0_662, 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']).
% 0.39/1.76 cnf(i_0_663, axiom, (c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)=c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Osemiring__rules_I28_J_0, ['final']).
% 0.39/1.76 cnf(i_0_664, axiom, (c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Osemiring__rules_I27_J_0, ['final']).
% 0.39/1.76 cnf(i_0_665, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X2,X3,X1),X2,X1)|~class_OrderedGroup_Omonoid__mult(X1)), cls_power__Suc2_0, ['final']).
% 0.39/1.76 cnf(i_0_666, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Power_Opower(X1)), cls_power__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_667, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Osemiring__rules_I35_J_0, ['final']).
% 0.39/1.76 cnf(i_0_668, axiom, (c_Power_Opower__class_Opower(X2,c_Suc(X3),X1)=c_HOL_Otimes__class_Otimes(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Opwr__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_669, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|~c_HOL_Oord__class_Oless(X3,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)), cls_less__trans__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_670, 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']).
% 0.39/1.76 cnf(i_0_671, 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']).
% 0.39/1.76 cnf(i_0_672, 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']).
% 0.39/1.76 cnf(i_0_673, 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']).
% 0.39/1.76 cnf(i_0_674, 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']).
% 0.39/1.76 cnf(i_0_675, 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']).
% 0.39/1.76 cnf(i_0_676, 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']).
% 0.39/1.76 cnf(i_0_677, 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']).
% 0.39/1.76 cnf(i_0_678, 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']).
% 0.39/1.76 cnf(i_0_679, 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']).
% 0.39/1.76 cnf(i_0_680, 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']).
% 0.39/1.76 cnf(i_0_681, 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']).
% 0.39/1.76 cnf(i_0_682, 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']).
% 0.39/1.76 cnf(i_0_683, 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']).
% 0.39/1.76 cnf(i_0_684, 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']).
% 0.39/1.76 cnf(i_0_685, 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']).
% 0.39/1.76 cnf(i_0_686, 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']).
% 0.39/1.76 cnf(i_0_687, 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']).
% 0.39/1.76 cnf(i_0_688, 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']).
% 0.39/1.76 cnf(i_0_689, 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']).
% 0.39/1.76 cnf(i_0_690, 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']).
% 0.39/1.76 cnf(i_0_691, 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']).
% 0.39/1.76 cnf(i_0_692, 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']).
% 0.39/1.76 cnf(i_0_693, 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']).
% 0.39/1.76 cnf(i_0_694, 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']).
% 0.39/1.76 cnf(i_0_695, 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']).
% 0.39/1.76 cnf(i_0_696, 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']).
% 0.39/1.76 cnf(i_0_697, 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']).
% 0.39/1.76 cnf(i_0_698, 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']).
% 0.39/1.76 cnf(i_0_699, 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']).
% 0.39/1.76 cnf(i_0_700, 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']).
% 0.39/1.76 cnf(i_0_701, 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']).
% 0.39/1.76 cnf(i_0_702, 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']).
% 0.39/1.76 cnf(i_0_703, 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']).
% 0.39/1.76 cnf(i_0_704, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_zero__less__power__eq_3, ['final']).
% 0.39/1.76 cnf(i_0_705, 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']).
% 0.39/1.76 cnf(i_0_706, 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']).
% 0.39/1.76 cnf(i_0_707, 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']).
% 0.39/1.76 cnf(i_0_708, 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']).
% 0.39/1.76 cnf(i_0_709, 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']).
% 0.39/1.76 cnf(i_0_710, 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']).
% 0.39/1.76 cnf(i_0_711, 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']).
% 0.39/1.76 cnf(i_0_712, 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']).
% 0.39/1.76 cnf(i_0_713, axiom, (~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat)), cls_not__less__eq_1, ['final']).
% 0.39/1.76 cnf(i_0_714, 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']).
% 0.39/1.76 cnf(i_0_715, 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']).
% 0.39/1.76 cnf(i_0_716, 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']).
% 0.39/1.76 cnf(i_0_717, 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']).
% 0.39/1.76 cnf(i_0_718, 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']).
% 0.39/1.76 cnf(i_0_719, 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']).
% 0.39/1.76 cnf(i_0_720, 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']).
% 0.39/1.76 cnf(i_0_721, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)), cls_Suc__less__eq_0, ['final']).
% 0.39/1.76 cnf(i_0_722, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), cls_Suc__mono_0, ['final']).
% 0.39/1.76 cnf(i_0_723, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), cls_less__Suc__eq__0__disj_3, ['final']).
% 0.39/1.76 cnf(i_0_724, axiom, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)), cls_less__SucE_0, ['final']).
% 0.39/1.76 cnf(i_0_725, axiom, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)), cls_not__less__less__Suc__eq_0, ['final']).
% 0.39/1.76 cnf(i_0_726, axiom, (X1=X2|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat)), cls_less__antisym_0, ['final']).
% 0.39/1.76 cnf(i_0_727, axiom, (c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|c_Suc(X1)=X2|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), cls_Suc__lessI_0, ['final']).
% 0.39/1.76 cnf(i_0_728, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)), cls_Suc__lessD_0, ['final']).
% 0.39/1.76 cnf(i_0_729, axiom, (X1=c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))|X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat)), cls_nat__lt__two__imp__zero__or__one_0, ['final']).
% 0.39/1.76 cnf(i_0_730, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), cls_less__SucI_0, ['final']).
% 0.39/1.76 cnf(i_0_731, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Power_Opower(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_power__eq__0__iff_0, ['final']).
% 0.39/1.76 cnf(i_0_732, axiom, (~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Power_Opower(X1)|c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_power__eq__0__iff_1, ['final']).
% 0.39/1.76 cnf(i_0_733, 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']).
% 0.39/1.76 cnf(i_0_734, 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']).
% 0.39/1.76 cnf(i_0_735, 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']).
% 0.39/1.76 cnf(i_0_736, 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']).
% 0.39/1.76 cnf(i_0_737, 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']).
% 0.39/1.76 cnf(i_0_738, 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']).
% 0.39/1.76 cnf(i_0_739, 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']).
% 0.39/1.76 cnf(i_0_740, 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']).
% 0.39/1.76 cnf(i_0_741, 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']).
% 0.39/1.76 cnf(i_0_742, 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']).
% 0.39/1.76 cnf(i_0_743, 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']).
% 0.39/1.76 cnf(i_0_744, 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']).
% 0.39/1.76 cnf(i_0_745, 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']).
% 0.39/1.76 cnf(i_0_746, axiom, (c_HOL_Oord__class_Oless(X1,X1,tc_nat)|c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), cls_not__less__less__Suc__eq_1, ['final']).
% 0.39/1.76 cnf(i_0_747, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)), cls_not__less__eq_0, ['final']).
% 0.39/1.76 cnf(i_0_748, 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']).
% 0.39/1.76 cnf(i_0_749, 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']).
% 0.39/1.76 cnf(i_0_750, 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']).
% 0.39/1.76 cnf(i_0_751, 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']).
% 0.39/1.76 cnf(i_0_752, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|X2=X1), cls_nat__neq__iff_0, ['final']).
% 0.39/1.76 cnf(i_0_753, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|X2=X1), cls_linorder__neqE__nat_0, ['final']).
% 0.39/1.76 cnf(i_0_754, 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']).
% 0.39/1.76 cnf(i_0_755, 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']).
% 0.39/1.76 cnf(i_0_756, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)), cls_less__Suc0_0, ['final']).
% 0.39/1.76 cnf(i_0_757, 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']).
% 0.39/1.76 cnf(i_0_758, 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']).
% 0.39/1.76 cnf(i_0_759, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_field__power__not__zero_0, ['final']).
% 0.39/1.76 cnf(i_0_760, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Ozero__neq__one(X1)|~class_Ring__and__Field_Ono__zero__divisors(X1)|~class_Ring__and__Field_Omult__zero(X1)|~class_Power_Opower(X1)), cls_power__eq__0__iff_2, ['final']).
% 0.39/1.76 cnf(i_0_761, axiom, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_order__less__irrefl_0, ['final']).
% 0.39/1.76 cnf(i_0_762, axiom, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_linorder__neq__iff_1, ['final']).
% 0.39/1.76 cnf(i_0_763, axiom, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_order__less__le_1, ['final']).
% 0.39/1.76 cnf(i_0_764, axiom, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_neq0__conv_1, ['final']).
% 0.39/1.76 cnf(i_0_765, 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']).
% 0.39/1.76 cnf(i_0_766, 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']).
% 0.39/1.76 cnf(i_0_767, 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']).
% 0.39/1.76 cnf(i_0_768, 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']).
% 0.39/1.76 cnf(i_0_769, axiom, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_gr__implies__not0_0, ['final']).
% 0.39/1.76 cnf(i_0_770, axiom, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_not__less0_0, ['final']).
% 0.39/1.76 cnf(i_0_771, 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']).
% 0.39/1.76 cnf(i_0_772, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1)), cls_power__0__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_773, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), cls_real__less__def_1, ['final']).
% 0.39/1.76 cnf(i_0_774, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), cls_nat__less__le_1, ['final']).
% 0.39/1.76 cnf(i_0_775, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), cls_less__not__refl_0, ['final']).
% 0.39/1.76 cnf(i_0_776, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1)), cls_power__0__left_1, ['final']).
% 0.39/1.76 cnf(i_0_777, axiom, (c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Osemiring__0(X1)|~class_Power_Opower(X1)), cls_power__0__left_0, ['final']).
% 0.39/1.76 cnf(i_0_778, 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']).
% 0.39/1.76 cnf(i_0_779, 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']).
% 0.39/1.76 cnf(i_0_780, 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']).
% 0.39/1.76 cnf(i_0_781, 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']).
% 0.39/1.76 cnf(i_0_782, 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']).
% 0.39/1.76 cnf(i_0_783, 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']).
% 0.39/1.76 cnf(i_0_784, 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']).
% 0.39/1.76 cnf(i_0_785, 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']).
% 0.39/1.76 cnf(i_0_786, 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']).
% 0.39/1.76 cnf(i_0_787, 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']).
% 0.39/1.76 cnf(i_0_788, 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']).
% 0.39/1.76 cnf(i_0_789, 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']).
% 0.39/1.76 cnf(i_0_790, 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']).
% 0.39/1.76 cnf(i_0_791, 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']).
% 0.39/1.76 cnf(i_0_792, 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']).
% 0.39/1.76 cnf(i_0_793, axiom, (c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|~class_OrderedGroup_Omonoid__mult(X1)), cls_power__one_0, ['final']).
% 0.39/1.76 cnf(i_0_794, 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']).
% 0.39/1.76 cnf(i_0_795, 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']).
% 0.39/1.76 cnf(i_0_796, 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']).
% 0.39/1.76 cnf(i_0_797, 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']).
% 0.39/1.76 cnf(i_0_798, 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']).
% 0.39/1.76 cnf(i_0_799, 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']).
% 0.39/1.76 cnf(i_0_800, 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']).
% 0.39/1.76 cnf(i_0_801, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Power_Opower(X1)), cls_power__0_0, ['final']).
% 0.39/1.76 cnf(i_0_802, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Opwr__0_0, ['final']).
% 0.39/1.76 cnf(i_0_803, 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']).
% 0.39/1.76 cnf(i_0_804, 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']).
% 0.39/1.76 cnf(i_0_805, 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']).
% 0.39/1.76 cnf(i_0_806, 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']).
% 0.39/1.76 cnf(i_0_807, 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']).
% 0.39/1.76 cnf(i_0_808, 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']).
% 0.39/1.76 cnf(i_0_809, 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']).
% 0.39/1.76 cnf(i_0_810, 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']).
% 0.39/1.76 cnf(i_0_811, 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']).
% 0.39/1.76 cnf(i_0_812, 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']).
% 0.39/1.76 cnf(i_0_813, 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']).
% 0.39/1.76 cnf(i_0_814, 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']).
% 0.39/1.76 cnf(i_0_815, 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']).
% 0.39/1.76 cnf(i_0_816, 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']).
% 0.39/1.76 cnf(i_0_817, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)), cls_less__Suc0_1, ['final']).
% 0.39/1.76 cnf(i_0_818, axiom, (c_HOL_Otimes__class_Otimes(X2,X2,X1)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)), cls_mult__idem_0, ['final']).
% 0.39/1.76 cnf(i_0_819, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)), cls_zero__less__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_820, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat)), cls_gr0__conv__Suc_1, ['final']).
% 0.39/1.76 cnf(i_0_821, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)), cls_real__mult__is__one_1, ['final']).
% 0.39/1.76 cnf(i_0_822, 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']).
% 0.39/1.76 cnf(i_0_823, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)), cls_gr0I_0, ['final']).
% 0.39/1.76 cnf(i_0_824, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), cls_lessI_0, ['final']).
% 0.39/1.76 cnf(i_0_825, axiom, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), cls_less__Suc__eq_2, ['final']).
% 0.39/1.76 cnf(i_0_826, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)=X1), cls_real__mult__1_0, ['final']).
% 0.39/1.76 cnf(i_0_827, 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']).
% 0.39/1.76 cnf(i_0_828, 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']).
% 0.39/1.76 cnf(i_0_829, axiom, (c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)), cls_CHAINED_0, ['final']).
% 0.39/1.76 cnf(i_0_830, 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']).
% 0.39/1.76 cnf(i_0_831, 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']).
% 0.39/1.76 cnf(i_0_832, 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']).
% 0.39/1.76 cnf(i_0_833, 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']).
% 0.39/1.76 cnf(i_0_834, 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']).
% 0.39/1.76 cnf(i_0_835, 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']).
% 0.39/1.76 cnf(i_0_836, 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']).
% 0.39/1.76 cnf(i_0_837, 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']).
% 0.39/1.76 cnf(i_0_838, 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']).
% 0.39/1.76 cnf(i_0_839, 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']).
% 0.39/1.76 cnf(i_0_840, 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']).
% 0.39/1.76 cnf(i_0_841, axiom, (c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(tc_RealDef_Oreal)|~class_RealVector_Oreal__normed__algebra__1(X1)), cls_norm__one_0, ['final']).
% 0.39/1.76 cnf(i_0_842, 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']).
% 0.39/1.76 cnf(i_0_843, 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']).
% 0.39/1.76 cnf(i_0_844, axiom, (X1=X2|c_Suc(X1)!=c_Suc(X2)), cls_Suc__inject_0, ['final']).
% 0.39/1.76 cnf(i_0_845, axiom, (X1=X2|c_Suc(X1)!=c_Suc(X2)), cls_nat_Oinject_0, ['final']).
% 0.39/1.76 cnf(i_0_846, axiom, (c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(X1)), cls_Zero__neq__Suc_0, ['final']).
% 0.39/1.76 cnf(i_0_847, axiom, (c_HOL_Ozero__class_Ozero(tc_nat)!=c_Suc(X1)), cls_nat_Osimps_I2_J_0, ['final']).
% 0.39/1.76 cnf(i_0_848, axiom, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat)), cls_Suc__neq__Zero_0, ['final']).
% 0.39/1.76 cnf(i_0_849, axiom, (c_Suc(X1)!=c_HOL_Ozero__class_Ozero(tc_nat)), cls_nat_Osimps_I3_J_0, ['final']).
% 0.39/1.76 cnf(i_0_850, axiom, (c_Suc(X1)!=X1), cls_Suc__n__not__n_0, ['final']).
% 0.39/1.76 cnf(i_0_851, axiom, (X1!=c_Suc(X1)), cls_n__not__Suc__n_0, ['final']).
% 0.39/1.76 cnf(i_0_852, axiom, (v_m____!=c_HOL_Ozero__class_Ozero(tc_nat)), cls_CHAINED_0_01, ['final']).
% 0.39/1.76 cnf(i_0_853, axiom, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring, ['final']).
% 0.39/1.76 cnf(i_0_854, axiom, (class_Ring__and__Field_Osemiring(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Osemiring, ['final']).
% 0.39/1.76 cnf(i_0_855, axiom, (class_Ring__and__Field_Osemiring(tc_nat)), clsarity_nat__Ring__and__Field_Osemiring, ['final']).
% 0.39/1.76 cnf(i_0_856, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_857, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_858, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Oab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_859, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult, ['final']).
% 0.39/1.76 cnf(i_0_860, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult, ['final']).
% 0.39/1.76 cnf(i_0_861, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat)), clsarity_nat__OrderedGroup_Ocomm__monoid__mult, ['final']).
% 0.39/1.76 cnf(i_0_862, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult, ['final']).
% 0.39/1.76 cnf(i_0_863, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult, ['final']).
% 0.39/1.76 cnf(i_0_864, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_nat)), clsarity_nat__OrderedGroup_Oab__semigroup__mult, ['final']).
% 0.39/1.76 cnf(i_0_865, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring, ['final']).
% 0.39/1.76 cnf(i_0_866, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring, ['final']).
% 0.39/1.76 cnf(i_0_867, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_nat)), clsarity_nat__Ring__and__Field_Ocomm__semiring, ['final']).
% 0.39/1.76 cnf(i_0_868, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_869, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_870, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_871, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_872, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_873, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Ocancel__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_874, axiom, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1, ['final']).
% 0.39/1.76 cnf(i_0_875, axiom, (class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1, ['final']).
% 0.39/1.76 cnf(i_0_876, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le, ['final']).
% 0.39/1.76 cnf(i_0_877, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)), clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le, ['final']).
% 0.39/1.76 cnf(i_0_878, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_879, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add, ['final']).
% 0.39/1.76 cnf(i_0_880, axiom, (class_Orderings_Opreorder(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Orderings_Opreorder, ['final']).
% 0.39/1.76 cnf(i_0_881, axiom, (class_Orderings_Opreorder(tc_nat)), clsarity_nat__Orderings_Opreorder, ['final']).
% 0.39/1.76 cnf(i_0_882, axiom, (class_Orderings_Olinorder(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Orderings_Olinorder, ['final']).
% 0.39/1.76 cnf(i_0_883, axiom, (class_Orderings_Olinorder(tc_nat)), clsarity_nat__Orderings_Olinorder, ['final']).
% 0.39/1.76 cnf(i_0_884, axiom, (class_Orderings_Oorder(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Orderings_Oorder, ['final']).
% 0.39/1.76 cnf(i_0_885, axiom, (class_Orderings_Oorder(tc_nat)), clsarity_nat__Orderings_Oorder, ['final']).
% 0.39/1.76 cnf(i_0_886, axiom, (class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1, ['final']).
% 0.39/1.76 cnf(i_0_887, axiom, (class_Ring__and__Field_Oring__1(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oring__1, ['final']).
% 0.39/1.76 cnf(i_0_888, axiom, (class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add, ['final']).
% 0.39/1.76 cnf(i_0_889, axiom, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra, ['final']).
% 0.39/1.76 cnf(i_0_890, axiom, (class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra, ['final']).
% 0.39/1.76 cnf(i_0_891, axiom, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult, ['final']).
% 0.39/1.76 cnf(i_0_892, axiom, (class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult, ['final']).
% 0.39/1.76 cnf(i_0_893, axiom, (class_OrderedGroup_Omonoid__mult(tc_nat)), clsarity_nat__OrderedGroup_Omonoid__mult, ['final']).
% 0.39/1.76 cnf(i_0_894, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add, ['final']).
% 0.39/1.76 cnf(i_0_895, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)), clsarity_nat__OrderedGroup_Opordered__comm__monoid__add, ['final']).
% 0.39/1.76 cnf(i_0_896, axiom, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict, ['final']).
% 0.39/1.76 cnf(i_0_897, axiom, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict, ['final']).
% 0.39/1.76 cnf(i_0_898, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict, ['final']).
% 0.39/1.76 cnf(i_0_899, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__semiring__strict, ['final']).
% 0.39/1.76 cnf(i_0_900, axiom, (class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict, ['final']).
% 0.39/1.76 cnf(i_0_901, axiom, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector, ['final']).
% 0.39/1.76 cnf(i_0_902, axiom, (class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector, ['final']).
% 0.39/1.76 cnf(i_0_903, axiom, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_904, axiom, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_905, axiom, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field, ['final']).
% 0.39/1.76 cnf(i_0_906, axiom, (class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__RealVector_Oreal__normed__field, ['final']).
% 0.39/1.76 cnf(i_0_907, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add, ['final']).
% 0.39/1.76 cnf(i_0_908, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add, ['final']).
% 0.39/1.76 cnf(i_0_909, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_nat)), clsarity_nat__OrderedGroup_Ocomm__monoid__add, ['final']).
% 0.39/1.76 cnf(i_0_910, axiom, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add, ['final']).
% 0.39/1.76 cnf(i_0_911, axiom, (class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add, ['final']).
% 0.39/1.76 cnf(i_0_912, axiom, (class_OrderedGroup_Omonoid__add(tc_nat)), clsarity_nat__OrderedGroup_Omonoid__add, ['final']).
% 0.39/1.76 cnf(i_0_913, axiom, (class_Int_Onumber__ring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Int_Onumber__ring, ['final']).
% 0.39/1.76 cnf(i_0_914, axiom, (class_Int_Onumber__ring(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Int_Onumber__ring, ['final']).
% 0.39/1.76 cnf(i_0_915, axiom, (class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add, ['final']).
% 0.39/1.76 cnf(i_0_916, axiom, (class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, ['final']).
% 0.39/1.76 cnf(i_0_917, axiom, (class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add, ['final']).
% 0.39/1.76 cnf(i_0_918, axiom, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, ['final']).
% 0.39/1.76 cnf(i_0_919, axiom, (class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add, ['final']).
% 0.39/1.76 cnf(i_0_920, axiom, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ofield, ['final']).
% 0.39/1.76 cnf(i_0_921, axiom, (class_Ring__and__Field_Ofield(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Ofield, ['final']).
% 0.39/1.76 cnf(i_0_922, axiom, (class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom, ['final']).
% 0.39/1.76 cnf(i_0_923, axiom, (class_Ring__and__Field_Oordered__semidom(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__semidom, ['final']).
% 0.39/1.76 cnf(i_0_924, axiom, (class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add, ['final']).
% 0.39/1.76 cnf(i_0_925, axiom, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero, ['final']).
% 0.39/1.76 cnf(i_0_926, axiom, (class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero, ['final']).
% 0.39/1.76 cnf(i_0_927, axiom, (class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field, ['final']).
% 0.39/1.76 cnf(i_0_928, axiom, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_929, axiom, (class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_930, axiom, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oidom, ['final']).
% 0.39/1.76 cnf(i_0_931, axiom, (class_Ring__and__Field_Oidom(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oidom, ['final']).
% 0.39/1.76 cnf(i_0_932, axiom, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, ['final']).
% 0.39/1.76 cnf(i_0_933, axiom, (class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra, ['final']).
% 0.39/1.76 cnf(i_0_934, axiom, (class_Ring__and__Field_Oring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring, ['final']).
% 0.39/1.76 cnf(i_0_935, axiom, (class_Ring__and__Field_Oring(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oring, ['final']).
% 0.39/1.76 cnf(i_0_936, axiom, (class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom, ['final']).
% 0.39/1.76 cnf(i_0_937, axiom, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero, ['final']).
% 0.39/1.76 cnf(i_0_938, axiom, (class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero, ['final']).
% 0.39/1.76 cnf(i_0_939, axiom, (class_Ring__and__Field_Omult__zero(tc_nat)), clsarity_nat__Ring__and__Field_Omult__zero, ['final']).
% 0.39/1.76 cnf(i_0_940, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_941, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_942, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_nat)), clsarity_nat__Ring__and__Field_Ono__zero__divisors, ['final']).
% 0.39/1.76 cnf(i_0_943, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one, ['final']).
% 0.39/1.76 cnf(i_0_944, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one, ['final']).
% 0.39/1.76 cnf(i_0_945, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_nat)), clsarity_nat__Ring__and__Field_Ozero__neq__one, ['final']).
% 0.39/1.76 cnf(i_0_946, axiom, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0, ['final']).
% 0.39/1.76 cnf(i_0_947, axiom, (class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0, ['final']).
% 0.39/1.76 cnf(i_0_948, axiom, (class_Ring__and__Field_Osemiring__0(tc_nat)), clsarity_nat__Ring__and__Field_Osemiring__0, ['final']).
% 0.39/1.76 cnf(i_0_949, axiom, (class_Power_Opower(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Power_Opower, ['final']).
% 0.39/1.76 cnf(i_0_950, axiom, (class_Power_Opower(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Power_Opower, ['final']).
% 0.39/1.76 cnf(i_0_951, axiom, (class_Power_Opower(tc_nat)), clsarity_nat__Power_Opower, ['final']).
% 0.39/1.76 cnf(i_0_952, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1, ['final']).
% 0.39/1.76 cnf(i_0_953, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)), clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1, ['final']).
% 0.39/1.76 cnf(i_0_954, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat)), clsarity_nat__Ring__and__Field_Ocomm__semiring__1, ['final']).
% 0.39/1.76 cnf(i_0_955, negated_conjecture, (~v_thesis____), cls_conjecture_0, ['final']).
% 0.39/1.76 cnf(i_0_956, axiom, (X1=X1)).
% 0.39/1.76 cnf(i_0_957, axiom, (X1=X2|X2!=X1)).
% 0.39/1.76 cnf(i_0_958, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 0.39/1.76 cnf(i_0_959, axiom, (X1!=X2|c_RealVector_Onorm__class_Onorm(X1,X3)=c_RealVector_Onorm__class_Onorm(X2,X3))).
% 0.39/1.76 cnf(i_0_960, axiom, (X1!=X2|c_RealVector_Onorm__class_Onorm(X3,X1)=c_RealVector_Onorm__class_Onorm(X3,X2))).
% 0.39/1.76 cnf(i_0_961, axiom, (X1!=X2|c_Suc(X1)=c_Suc(X2))).
% 0.39/1.76 cnf(i_0_962, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)=c_HOL_Oplus__class_Oplus(X2,X3,X4))).
% 0.39/1.76 cnf(i_0_963, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)=c_HOL_Oplus__class_Oplus(X3,X2,X4))).
% 0.39/1.76 cnf(i_0_964, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X4,X1)=c_HOL_Oplus__class_Oplus(X3,X4,X2))).
% 0.39/1.76 cnf(i_0_965, axiom, (X1!=X2|c_HOL_Oone__class_Oone(X1)=c_HOL_Oone__class_Oone(X2))).
% 0.39/1.76 cnf(i_0_966, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X1,X3,X4)=c_HOL_Otimes__class_Otimes(X2,X3,X4))).
% 0.39/1.76 cnf(i_0_967, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X1,X4)=c_HOL_Otimes__class_Otimes(X3,X2,X4))).
% 0.39/1.76 cnf(i_0_968, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X4,X1)=c_HOL_Otimes__class_Otimes(X3,X4,X2))).
% 0.39/1.76 cnf(i_0_969, axiom, (X1!=X2|c_Power_Opower__class_Opower(X1,X3,X4)=c_Power_Opower__class_Opower(X2,X3,X4))).
% 0.39/1.76 cnf(i_0_970, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X1,X4)=c_Power_Opower__class_Opower(X3,X2,X4))).
% 0.39/1.76 cnf(i_0_971, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X4,X1)=c_Power_Opower__class_Opower(X3,X4,X2))).
% 0.39/1.76 cnf(i_0_972, axiom, (X1!=X2|c_HOL_Ozero__class_Ozero(X1)=c_HOL_Ozero__class_Ozero(X2))).
% 0.39/1.76 cnf(i_0_973, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X1,X3,X4)=c_HOL_Oinverse__class_Odivide(X2,X3,X4))).
% 0.39/1.76 cnf(i_0_974, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X1,X4)=c_HOL_Oinverse__class_Odivide(X3,X2,X4))).
% 0.39/1.76 cnf(i_0_975, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X4,X1)=c_HOL_Oinverse__class_Odivide(X3,X4,X2))).
% 0.39/1.76 cnf(i_0_976, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)=c_HOL_Ouminus__class_Ouminus(X2,X3))).
% 0.39/1.76 cnf(i_0_977, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X3,X1)=c_HOL_Ouminus__class_Ouminus(X3,X2))).
% 0.39/1.76 cnf(i_0_978, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semidom(X1)|class_Ring__and__Field_Oordered__semidom(X2))).
% 0.39/1.76 cnf(i_0_979, axiom, (X1!=X2|~class_RealVector_Oreal__normed__vector(X1)|class_RealVector_Oreal__normed__vector(X2))).
% 0.39/1.76 cnf(i_0_980, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra(X1)|class_RealVector_Oreal__normed__algebra(X2))).
% 0.39/1.76 cnf(i_0_981, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)|class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 0.39/1.76 cnf(i_0_982, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2))).
% 0.39/1.76 cnf(i_0_983, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|class_Ring__and__Field_Oordered__comm__semiring__strict(X2))).
% 0.39/1.76 cnf(i_0_984, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semiring__strict(X1)|class_Ring__and__Field_Oordered__semiring__strict(X2))).
% 0.39/1.76 cnf(i_0_985, axiom, (X1!=X2|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2))).
% 0.39/1.76 cnf(i_0_986, axiom, (X1!=X2|~class_RealVector_Oreal__normed__field(X1)|class_RealVector_Oreal__normed__field(X2))).
% 0.39/1.76 cnf(i_0_987, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring(X1)|class_Ring__and__Field_Ocomm__semiring(X2))).
% 0.39/1.76 cnf(i_0_988, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X1,X3,X4)|c_HOL_Oord__class_Oless(X2,X3,X4))).
% 0.39/1.76 cnf(i_0_989, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X1,X4)|c_HOL_Oord__class_Oless(X3,X2,X4))).
% 0.39/1.76 cnf(i_0_990, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X4,X1)|c_HOL_Oord__class_Oless(X3,X4,X2))).
% 0.39/1.77 cnf(i_0_991, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1)|class_OrderedGroup_Ocomm__monoid__mult(X2))).
% 0.39/1.77 cnf(i_0_992, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1(X1)|class_Ring__and__Field_Oring__1(X2))).
% 0.39/1.77 cnf(i_0_993, axiom, (X1!=X2|~class_OrderedGroup_Oab__group__add(X1)|class_OrderedGroup_Oab__group__add(X2))).
% 0.39/1.77 cnf(i_0_994, axiom, (X1!=X2|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 0.39/1.77 cnf(i_0_995, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__idom(X1)|class_Ring__and__Field_Oordered__idom(X2))).
% 0.39/1.77 cnf(i_0_996, axiom, (X1!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1)|class_OrderedGroup_Olordered__ab__group__add(X2))).
% 0.39/1.77 cnf(i_0_997, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__add(X1)|class_OrderedGroup_Oab__semigroup__add(X2))).
% 0.39/1.77 cnf(i_0_998, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__add(X1)|class_OrderedGroup_Ocomm__monoid__add(X2))).
% 0.39/1.77 cnf(i_0_999, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__mult(X1)|class_OrderedGroup_Oab__semigroup__mult(X2))).
% 0.39/1.77 cnf(i_0_1000, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__mult(X1)|class_OrderedGroup_Omonoid__mult(X2))).
% 0.39/1.77 cnf(i_0_1001, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__ring__strict(X1)|class_Ring__and__Field_Oordered__ring__strict(X2))).
% 0.39/1.77 cnf(i_0_1002, axiom, (X1!=X2|~class_Orderings_Opreorder(X1)|class_Orderings_Opreorder(X2))).
% 0.39/1.77 cnf(i_0_1003, axiom, (X1!=X2|~class_Orderings_Oorder(X1)|class_Orderings_Oorder(X2))).
% 0.39/1.77 cnf(i_0_1004, axiom, (X1!=X2|~class_OrderedGroup_Ogroup__add(X1)|class_OrderedGroup_Ogroup__add(X2))).
% 0.39/1.77 cnf(i_0_1005, axiom, (X1!=X2|~class_RealVector_Oreal__normed__div__algebra(X1)|class_RealVector_Oreal__normed__div__algebra(X2))).
% 0.39/1.77 cnf(i_0_1006, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__group__add(X1)|class_OrderedGroup_Opordered__ab__group__add(X2))).
% 0.39/1.77 cnf(i_0_1007, axiom, (X1!=X2|~class_Power_Opower(X1)|class_Power_Opower(X2))).
% 0.39/1.77 cnf(i_0_1008, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 0.39/1.77 cnf(i_0_1009, axiom, (X1!=X2|~class_Ring__and__Field_Oring(X1)|class_Ring__and__Field_Oring(X2))).
% 0.39/1.77 cnf(i_0_1010, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__semigroup__add(X1)|class_OrderedGroup_Ocancel__semigroup__add(X2))).
% 0.39/1.77 cnf(i_0_1011, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|class_OrderedGroup_Ocancel__ab__semigroup__add(X2))).
% 0.39/1.77 cnf(i_0_1012, axiom, (X1!=X2|~class_Ring__and__Field_Ofield(X1)|class_Ring__and__Field_Ofield(X2))).
% 0.39/1.77 cnf(i_0_1013, axiom, (X1!=X2|~class_Orderings_Olinorder(X1)|class_Orderings_Olinorder(X2))).
% 0.39/1.77 cnf(i_0_1014, axiom, (X1!=X2|~class_Ring__and__Field_Ozero__neq__one(X1)|class_Ring__and__Field_Ozero__neq__one(X2))).
% 0.39/1.77 cnf(i_0_1015, axiom, (X1!=X2|~class_Ring__and__Field_Ono__zero__divisors(X1)|class_Ring__and__Field_Ono__zero__divisors(X2))).
% 0.39/1.77 cnf(i_0_1016, axiom, (X1!=X2|~class_Ring__and__Field_Omult__zero(X1)|class_Ring__and__Field_Omult__zero(X2))).
% 0.39/1.77 cnf(i_0_1017, axiom, (X1!=X2|~class_Ring__and__Field_Oring__no__zero__divisors(X1)|class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 0.39/1.77 cnf(i_0_1018, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 0.39/1.77 cnf(i_0_1019, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring__0(X1)|class_Ring__and__Field_Osemiring__0(X2))).
% 0.39/1.78 cnf(i_0_1020, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__add(X1)|class_OrderedGroup_Omonoid__add(X2))).
% 0.39/1.78 cnf(i_0_1021, axiom, (X1!=X2|~class_Lattices_Oboolean__algebra(X1)|class_Lattices_Oboolean__algebra(X2))).
% 0.39/1.78 cnf(i_0_1022, axiom, (X1!=X2|~class_OrderedGroup_Oordered__ab__group__add(X1)|class_OrderedGroup_Oordered__ab__group__add(X2))).
% 0.39/1.78 cnf(i_0_1023, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring(X1)|class_Ring__and__Field_Osemiring(X2))).
% 0.39/1.78 cnf(i_0_1024, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra__1(X1)|class_RealVector_Oreal__normed__algebra__1(X2))).
% 0.39/1.78 cnf(i_0_1025, axiom, (X1!=X2|~class_Ring__and__Field_Oidom(X1)|class_Ring__and__Field_Oidom(X2))).
% 0.39/1.78 cnf(i_0_1026, axiom, (X1!=X2|~class_Int_Onumber__ring(X1)|class_Int_Onumber__ring(X2))).
% 0.39/1.78 cnf(i_0_1027, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__field(X1)|class_Ring__and__Field_Oordered__field(X2))).
% 0.39/1.78 cnf(i_0_1028, axiom, (X1!=X2|~class_Ring__and__Field_Odivision__by__zero(X1)|class_Ring__and__Field_Odivision__by__zero(X2))).
% 2.11/3.53 cnf(i_0_956, axiom, (X1=X1)).
% 2.11/3.53 cnf(i_0_957, axiom, (X1=X2|X2!=X1)).
% 2.11/3.53 cnf(i_0_958, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 2.11/3.53 cnf(i_0_959, axiom, (X1!=X2|c_RealVector_Onorm__class_Onorm(X1,X3)=c_RealVector_Onorm__class_Onorm(X2,X3))).
% 2.11/3.53 cnf(i_0_960, axiom, (X1!=X2|c_RealVector_Onorm__class_Onorm(X3,X1)=c_RealVector_Onorm__class_Onorm(X3,X2))).
% 2.11/3.53 cnf(i_0_961, axiom, (X1!=X2|c_Suc(X1)=c_Suc(X2))).
% 2.11/3.53 cnf(i_0_962, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)=c_HOL_Oplus__class_Oplus(X2,X3,X4))).
% 2.11/3.53 cnf(i_0_963, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)=c_HOL_Oplus__class_Oplus(X3,X2,X4))).
% 2.11/3.53 cnf(i_0_964, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X4,X1)=c_HOL_Oplus__class_Oplus(X3,X4,X2))).
% 2.11/3.53 cnf(i_0_965, axiom, (X1!=X2|c_HOL_Oone__class_Oone(X1)=c_HOL_Oone__class_Oone(X2))).
% 2.11/3.53 cnf(i_0_966, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X1,X3,X4)=c_HOL_Otimes__class_Otimes(X2,X3,X4))).
% 2.11/3.53 cnf(i_0_967, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X1,X4)=c_HOL_Otimes__class_Otimes(X3,X2,X4))).
% 2.11/3.53 cnf(i_0_968, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X4,X1)=c_HOL_Otimes__class_Otimes(X3,X4,X2))).
% 2.11/3.53 cnf(i_0_969, axiom, (X1!=X2|c_Power_Opower__class_Opower(X1,X3,X4)=c_Power_Opower__class_Opower(X2,X3,X4))).
% 2.11/3.53 cnf(i_0_970, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X1,X4)=c_Power_Opower__class_Opower(X3,X2,X4))).
% 2.11/3.53 cnf(i_0_971, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X4,X1)=c_Power_Opower__class_Opower(X3,X4,X2))).
% 2.11/3.53 cnf(i_0_972, axiom, (X1!=X2|c_HOL_Ozero__class_Ozero(X1)=c_HOL_Ozero__class_Ozero(X2))).
% 2.11/3.53 cnf(i_0_973, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X1,X3,X4)=c_HOL_Oinverse__class_Odivide(X2,X3,X4))).
% 2.11/3.53 cnf(i_0_974, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X1,X4)=c_HOL_Oinverse__class_Odivide(X3,X2,X4))).
% 2.11/3.53 cnf(i_0_975, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X4,X1)=c_HOL_Oinverse__class_Odivide(X3,X4,X2))).
% 2.11/3.53 cnf(i_0_976, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)=c_HOL_Ouminus__class_Ouminus(X2,X3))).
% 2.11/3.53 cnf(i_0_977, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X3,X1)=c_HOL_Ouminus__class_Ouminus(X3,X2))).
% 2.11/3.53 cnf(i_0_978, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semidom(X1)|class_Ring__and__Field_Oordered__semidom(X2))).
% 2.11/3.53 cnf(i_0_979, axiom, (X1!=X2|~class_RealVector_Oreal__normed__vector(X1)|class_RealVector_Oreal__normed__vector(X2))).
% 2.11/3.53 cnf(i_0_980, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra(X1)|class_RealVector_Oreal__normed__algebra(X2))).
% 2.11/3.53 cnf(i_0_981, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)|class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 2.11/3.53 cnf(i_0_982, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2))).
% 2.11/3.53 cnf(i_0_983, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|class_Ring__and__Field_Oordered__comm__semiring__strict(X2))).
% 2.11/3.53 cnf(i_0_984, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semiring__strict(X1)|class_Ring__and__Field_Oordered__semiring__strict(X2))).
% 2.11/3.53 cnf(i_0_985, axiom, (X1!=X2|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2))).
% 2.11/3.53 cnf(i_0_986, axiom, (X1!=X2|~class_RealVector_Oreal__normed__field(X1)|class_RealVector_Oreal__normed__field(X2))).
% 2.11/3.53 cnf(i_0_987, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring(X1)|class_Ring__and__Field_Ocomm__semiring(X2))).
% 2.11/3.53 cnf(i_0_988, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X1,X3,X4)|c_HOL_Oord__class_Oless(X2,X3,X4))).
% 2.11/3.53 cnf(i_0_989, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X1,X4)|c_HOL_Oord__class_Oless(X3,X2,X4))).
% 2.11/3.53 cnf(i_0_990, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X4,X1)|c_HOL_Oord__class_Oless(X3,X4,X2))).
% 2.11/3.53 cnf(i_0_991, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1)|class_OrderedGroup_Ocomm__monoid__mult(X2))).
% 2.11/3.53 cnf(i_0_992, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1(X1)|class_Ring__and__Field_Oring__1(X2))).
% 2.11/3.53 cnf(i_0_993, axiom, (X1!=X2|~class_OrderedGroup_Oab__group__add(X1)|class_OrderedGroup_Oab__group__add(X2))).
% 2.11/3.53 cnf(i_0_994, axiom, (X1!=X2|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 2.11/3.53 cnf(i_0_995, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__idom(X1)|class_Ring__and__Field_Oordered__idom(X2))).
% 2.11/3.53 cnf(i_0_996, axiom, (X1!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1)|class_OrderedGroup_Olordered__ab__group__add(X2))).
% 2.11/3.53 cnf(i_0_997, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__add(X1)|class_OrderedGroup_Oab__semigroup__add(X2))).
% 2.11/3.53 cnf(i_0_998, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__add(X1)|class_OrderedGroup_Ocomm__monoid__add(X2))).
% 2.11/3.53 cnf(i_0_999, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__mult(X1)|class_OrderedGroup_Oab__semigroup__mult(X2))).
% 2.11/3.53 cnf(i_0_1000, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__mult(X1)|class_OrderedGroup_Omonoid__mult(X2))).
% 2.11/3.53 cnf(i_0_1001, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__ring__strict(X1)|class_Ring__and__Field_Oordered__ring__strict(X2))).
% 2.11/3.53 cnf(i_0_1002, axiom, (X1!=X2|~class_Orderings_Opreorder(X1)|class_Orderings_Opreorder(X2))).
% 2.11/3.53 cnf(i_0_1003, axiom, (X1!=X2|~class_Orderings_Oorder(X1)|class_Orderings_Oorder(X2))).
% 2.11/3.53 cnf(i_0_1004, axiom, (X1!=X2|~class_OrderedGroup_Ogroup__add(X1)|class_OrderedGroup_Ogroup__add(X2))).
% 2.11/3.53 cnf(i_0_1005, axiom, (X1!=X2|~class_RealVector_Oreal__normed__div__algebra(X1)|class_RealVector_Oreal__normed__div__algebra(X2))).
% 2.11/3.53 cnf(i_0_1006, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__group__add(X1)|class_OrderedGroup_Opordered__ab__group__add(X2))).
% 2.11/3.53 cnf(i_0_1007, axiom, (X1!=X2|~class_Power_Opower(X1)|class_Power_Opower(X2))).
% 2.11/3.53 cnf(i_0_1008, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 2.11/3.53 cnf(i_0_1009, axiom, (X1!=X2|~class_Ring__and__Field_Oring(X1)|class_Ring__and__Field_Oring(X2))).
% 2.11/3.53 cnf(i_0_1010, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__semigroup__add(X1)|class_OrderedGroup_Ocancel__semigroup__add(X2))).
% 2.11/3.53 cnf(i_0_1011, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|class_OrderedGroup_Ocancel__ab__semigroup__add(X2))).
% 2.11/3.53 cnf(i_0_1012, axiom, (X1!=X2|~class_Ring__and__Field_Ofield(X1)|class_Ring__and__Field_Ofield(X2))).
% 2.11/3.53 cnf(i_0_1013, axiom, (X1!=X2|~class_Orderings_Olinorder(X1)|class_Orderings_Olinorder(X2))).
% 2.11/3.53 cnf(i_0_1014, axiom, (X1!=X2|~class_Ring__and__Field_Ozero__neq__one(X1)|class_Ring__and__Field_Ozero__neq__one(X2))).
% 2.11/3.53 cnf(i_0_1015, axiom, (X1!=X2|~class_Ring__and__Field_Ono__zero__divisors(X1)|class_Ring__and__Field_Ono__zero__divisors(X2))).
% 2.11/3.53 cnf(i_0_1016, axiom, (X1!=X2|~class_Ring__and__Field_Omult__zero(X1)|class_Ring__and__Field_Omult__zero(X2))).
% 2.11/3.53 cnf(i_0_1017, axiom, (X1!=X2|~class_Ring__and__Field_Oring__no__zero__divisors(X1)|class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 2.11/3.53 cnf(i_0_1018, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 2.11/3.53 cnf(i_0_1019, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring__0(X1)|class_Ring__and__Field_Osemiring__0(X2))).
% 2.11/3.53 cnf(i_0_1020, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__add(X1)|class_OrderedGroup_Omonoid__add(X2))).
% 2.11/3.53 cnf(i_0_1021, axiom, (X1!=X2|~class_Lattices_Oboolean__algebra(X1)|class_Lattices_Oboolean__algebra(X2))).
% 2.11/3.53 cnf(i_0_1022, axiom, (X1!=X2|~class_OrderedGroup_Oordered__ab__group__add(X1)|class_OrderedGroup_Oordered__ab__group__add(X2))).
% 2.11/3.53 cnf(i_0_1023, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring(X1)|class_Ring__and__Field_Osemiring(X2))).
% 2.11/3.53 cnf(i_0_1024, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra__1(X1)|class_RealVector_Oreal__normed__algebra__1(X2))).
% 2.11/3.53 cnf(i_0_1025, axiom, (X1!=X2|~class_Ring__and__Field_Oidom(X1)|class_Ring__and__Field_Oidom(X2))).
% 2.11/3.53 cnf(i_0_1026, axiom, (X1!=X2|~class_Int_Onumber__ring(X1)|class_Int_Onumber__ring(X2))).
% 2.11/3.53 cnf(i_0_1027, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__field(X1)|class_Ring__and__Field_Oordered__field(X2))).
% 2.11/3.53 cnf(i_0_1028, axiom, (X1!=X2|~class_Ring__and__Field_Odivision__by__zero(X1)|class_Ring__and__Field_Odivision__by__zero(X2))).
% 2.11/3.53 cnf(i_0_1029, plain, (~class_Int_Onumber__ring(X1)|X2=X2|X3=X4|~class_Ring__and__Field_Oidom(X1)), inference(equality_inference,[],[486])).
% 2.11/3.53 cnf(i_0_1030, plain, (~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1)|X2=X2|X3=c_HOL_Ozero__class_Ozero(X1)), inference(equality_inference,[],[531])).
% 2.11/3.53 cnf(i_0_1031, 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,[],[579])).
% 2.11/3.53 cnf(i_0_1032, 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,[],[644])).
% 2.11/3.53 cnf(i_0_1033, 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,[],[645])).
% 2.11/3.53 cnf(i_0_1034, plain, (X1=X1|~class_Ring__and__Field_Oordered__semidom(X2)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)), inference(equality_inference,[],[650])).
% 2.11/3.53 cnf(i_0_1035, plain, (X1=X1|~class_Ring__and__Field_Oidom(X2)|X1=c_HOL_Ouminus__class_Ouminus(X1,X2)), inference(equality_inference,[],[690])).
% 2.11/3.53 cnf(i_0_1036, plain, (~class_Int_Onumber__ring(X1)|X2=X2|~class_Ring__and__Field_Oidom(X1)), inference(equality_inference,[],[698])).
% 2.11/3.53 cnf(i_0_1037, plain, (X1=X1|~class_OrderedGroup_Ocancel__semigroup__add(X2)), inference(equality_inference,[],[706])).
% 2.11/3.53 cnf(i_0_1038, plain, (X1=X1|~class_OrderedGroup_Ocancel__ab__semigroup__add(X2)), inference(equality_inference,[],[707])).
% 2.11/3.53 cnf(i_0_1039, plain, (X1=X1|~class_OrderedGroup_Ocancel__semigroup__add(X2)), inference(equality_inference,[],[708])).
% 2.11/3.53 cnf(i_0_1040, plain, (X1=X1|~class_Lattices_Oboolean__algebra(X2)), inference(equality_inference,[],[827])).
% 2.11/3.53 cnf(i_0_1041, plain, (X1=X1|~class_OrderedGroup_Ogroup__add(X2)), inference(equality_inference,[],[828])).
% 2.11/3.53 cnf(i_0_1042, plain, (X1=X1), inference(equality_inference,[],[845])).
% 2.11/3.53 cnf(i_0_1043, plain, (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X1,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_955,i_0_479])).
% 2.11/3.53 cnf(i_0_1044, plain, (c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_852,i_0_829,i_0_480])).
% 2.11/3.53 cnf(i_0_1045, plain, (X1=c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_826,i_0_957])).
% 2.11/3.53 cnf(i_0_1046, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat)), inference(scs_inference,[],[i_0_825,i_0_826,i_0_957,i_0_728])).
% 2.11/3.53 cnf(i_0_1047, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1048, plain, (~c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)|c_HOL_Oord__class_Oless(X1,X2,tc_nat)), inference(rename_variables,[],[i_0_728])).
% 2.11/3.53 cnf(i_0_1049, plain, (~c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat)), inference(scs_inference,[],[i_0_775,i_0_825,i_0_826,i_0_957,i_0_728,i_0_730])).
% 2.11/3.53 cnf(i_0_1050, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_775])).
% 2.11/3.53 cnf(i_0_1051, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), inference(rename_variables,[],[i_0_730])).
% 2.11/3.53 cnf(i_0_1052, 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_773,i_0_775,i_0_757,i_0_825,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988])).
% 2.11/3.53 cnf(i_0_1053, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), inference(rename_variables,[],[i_0_773])).
% 2.11/3.53 cnf(i_0_1054, 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_nat)), inference(scs_inference,[],[i_0_773,i_0_775,i_0_1050,i_0_757,i_0_825,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989])).
% 2.11/3.53 cnf(i_0_1055, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_775])).
% 2.11/3.53 cnf(i_0_1056, plain, (~c_HOL_Oord__class_Oless(X1,X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_757,i_0_825,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990])).
% 2.11/3.53 cnf(i_0_1057, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)=X1), inference(rename_variables,[],[i_0_826])).
% 2.11/3.53 cnf(i_0_1058, plain, (~c_HOL_Oord__class_Oless(v_na____,v_m____,tc_nat)), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_757,i_0_825,i_0_829,i_0_881,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710])).
% 2.11/3.53 cnf(i_0_1059, 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_710])).
% 2.11/3.53 cnf(i_0_1060, plain, (~c_HOL_Oord__class_Oless(c_Suc(c_Suc(X1)),X1,tc_nat)), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_757,i_0_825,i_0_829,i_0_881,i_0_883,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711])).
% 2.11/3.53 cnf(i_0_1061, 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_711])).
% 2.11/3.53 cnf(i_0_1062, plain, (c_Suc(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))!=c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_881,i_0_883,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958])).
% 2.11/3.53 cnf(i_0_1063, plain, (c_Suc(X1)!=X1), inference(rename_variables,[],[i_0_850])).
% 2.11/3.53 cnf(i_0_1064, plain, (class_Ring__and__Field_Oordered__semidom(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_881,i_0_883,i_0_922,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978])).
% 2.11/3.53 cnf(i_0_1065, plain, (class_RealVector_Oreal__normed__vector(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_881,i_0_883,i_0_902,i_0_922,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979])).
% 2.11/3.53 cnf(i_0_1066, plain, (class_RealVector_Oreal__normed__algebra(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_881,i_0_883,i_0_902,i_0_922,i_0_933,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980])).
% 2.11/3.53 cnf(i_0_1067, plain, (class_Ring__and__Field_Ocomm__semiring__1(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_881,i_0_883,i_0_902,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981])).
% 2.11/3.53 cnf(i_0_1068, plain, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_876,i_0_881,i_0_883,i_0_902,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982])).
% 2.11/3.53 cnf(i_0_1069, plain, (class_Ring__and__Field_Oordered__comm__semiring__strict(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_876,i_0_881,i_0_883,i_0_896,i_0_902,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983])).
% 2.11/3.53 cnf(i_0_1070, plain, (class_Ring__and__Field_Oordered__semiring__strict(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_876,i_0_881,i_0_883,i_0_896,i_0_898,i_0_902,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984])).
% 2.11/3.53 cnf(i_0_1071, plain, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_876,i_0_878,i_0_881,i_0_883,i_0_896,i_0_898,i_0_902,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985])).
% 2.11/3.53 cnf(i_0_1072, plain, (class_RealVector_Oreal__normed__field(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_876,i_0_878,i_0_881,i_0_883,i_0_896,i_0_898,i_0_902,i_0_906,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986])).
% 2.11/3.53 cnf(i_0_1073, plain, (class_Ring__and__Field_Ocomm__semiring(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_896,i_0_898,i_0_902,i_0_906,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987])).
% 2.11/3.53 cnf(i_0_1074, plain, (class_OrderedGroup_Ocomm__monoid__mult(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_896,i_0_898,i_0_902,i_0_906,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991])).
% 2.11/3.53 cnf(i_0_1075, plain, (class_Ring__and__Field_Oring__1(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_896,i_0_898,i_0_902,i_0_906,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992])).
% 2.11/3.53 cnf(i_0_1076, plain, (class_OrderedGroup_Oab__group__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_896,i_0_898,i_0_902,i_0_906,i_0_919,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993])).
% 2.11/3.53 cnf(i_0_1077, plain, (class_OrderedGroup_Opordered__comm__monoid__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_919,i_0_922,i_0_933,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994])).
% 2.11/3.53 cnf(i_0_1078, plain, (class_Ring__and__Field_Oordered__idom(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995])).
% 2.11/3.53 cnf(i_0_1079, plain, (class_OrderedGroup_Olordered__ab__group__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996])).
% 2.11/3.53 cnf(i_0_1080, plain, (class_OrderedGroup_Oab__semigroup__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997])).
% 2.11/3.53 cnf(i_0_1081, plain, (class_OrderedGroup_Ocomm__monoid__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_908,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998])).
% 2.11/3.53 cnf(i_0_1082, plain, (class_OrderedGroup_Oab__semigroup__mult(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_908,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999])).
% 2.11/3.53 cnf(i_0_1083, plain, (class_OrderedGroup_Omonoid__mult(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_892,i_0_894,i_0_896,i_0_898,i_0_902,i_0_906,i_0_908,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000])).
% 2.11/3.53 cnf(i_0_1084, plain, (class_Ring__and__Field_Oordered__ring__strict(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_881,i_0_883,i_0_887,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001])).
% 2.11/3.53 cnf(i_0_1085, plain, (class_Orderings_Opreorder(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_887,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002])).
% 2.11/3.53 cnf(i_0_1086, plain, (class_Orderings_Oorder(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003])).
% 2.11/3.53 cnf(i_0_1087, plain, (class_OrderedGroup_Ogroup__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004])).
% 2.11/3.53 cnf(i_0_1088, plain, (class_RealVector_Oreal__normed__div__algebra(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005])).
% 2.11/3.53 cnf(i_0_1089, plain, (class_OrderedGroup_Opordered__ab__group__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_924,i_0_933,i_0_936,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006])).
% 2.11/3.53 cnf(i_0_1090, plain, (class_Power_Opower(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_924,i_0_933,i_0_936,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007])).
% 2.11/3.53 cnf(i_0_1091, plain, (class_Ring__and__Field_Oring(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009])).
% 2.11/3.53 cnf(i_0_1092, plain, (class_OrderedGroup_Ocancel__semigroup__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010])).
% 2.11/3.53 cnf(i_0_1093, plain, (class_OrderedGroup_Ocancel__ab__semigroup__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011])).
% 2.11/3.53 cnf(i_0_1094, plain, (class_Ring__and__Field_Ofield(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012])).
% 2.11/3.53 cnf(i_0_1095, plain, (class_Orderings_Olinorder(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013])).
% 2.11/3.53 cnf(i_0_1096, plain, (class_Ring__and__Field_Ozero__neq__one(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_944,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014])).
% 2.11/3.53 cnf(i_0_1097, plain, (class_Ring__and__Field_Ono__zero__divisors(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_941,i_0_944,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015])).
% 2.11/3.53 cnf(i_0_1098, plain, (class_Ring__and__Field_Omult__zero(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016])).
% 2.11/3.53 cnf(i_0_1099, plain, (class_Ring__and__Field_Oring__no__zero__divisors(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017])).
% 2.11/3.53 cnf(i_0_1100, plain, (class_Ring__and__Field_Oring__1__no__zero__divisors(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018])).
% 2.11/3.53 cnf(i_0_1101, plain, (class_Ring__and__Field_Osemiring__0(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019])).
% 2.11/3.53 cnf(i_0_1102, plain, (class_OrderedGroup_Omonoid__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020])).
% 2.11/3.53 cnf(i_0_1103, plain, (class_OrderedGroup_Oordered__ab__group__add(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022])).
% 2.11/3.53 cnf(i_0_1104, plain, (class_Ring__and__Field_Osemiring(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023])).
% 2.11/3.53 cnf(i_0_1105, plain, (class_RealVector_Oreal__normed__algebra__1(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024])).
% 2.11/3.53 cnf(i_0_1106, plain, (class_Ring__and__Field_Oidom(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025])).
% 2.11/3.53 cnf(i_0_1107, plain, (class_Int_Onumber__ring(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026])).
% 2.11/3.53 cnf(i_0_1108, plain, (class_Ring__and__Field_Oordered__field(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027])).
% 2.11/3.53 cnf(i_0_1109, plain, (class_Ring__and__Field_Odivision__by__zero(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal,tc_RealDef_Oreal))), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028])).
% 2.11/3.53 cnf(i_0_1110, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_1047,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655])).
% 2.11/3.53 cnf(i_0_1111, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1112, 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_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)), inference(rename_variables,[],[i_0_655])).
% 2.11/3.53 cnf(i_0_1113, plain, (~class_OrderedGroup_Opordered__ab__group__add(tc_nat)), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_770,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674])).
% 2.11/3.53 cnf(i_0_1114, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1115, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(rename_variables,[],[i_0_770])).
% 2.11/3.53 cnf(i_0_1116, 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_674])).
% 2.11/3.53 cnf(i_0_1117, plain, (c_HOL_Oinverse__class_Odivide(c_Suc(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_Suc(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_770,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800])).
% 2.11/3.53 cnf(i_0_1118, plain, (c_Suc(X1)!=X1), inference(rename_variables,[],[i_0_850])).
% 2.11/3.53 cnf(i_0_1119, 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_800])).
% 2.11/3.53 cnf(i_0_1120, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_m____,tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736])).
% 2.11/3.53 cnf(i_0_1121, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(rename_variables,[],[i_0_770])).
% 2.11/3.53 cnf(i_0_1122, 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_736])).
% 2.11/3.53 cnf(i_0_1123, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat),X1,tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616])).
% 2.11/3.53 cnf(i_0_1124, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1125, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_775])).
% 2.11/3.53 cnf(i_0_1126, 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_616])).
% 2.11/3.53 cnf(i_0_1127, plain, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555])).
% 2.11/3.53 cnf(i_0_1128, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1129, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1130, plain, (~c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X3),X4,X3)|c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X4,X1,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)|~class_Ring__and__Field_Oordered__semidom(X3)), inference(rename_variables,[],[i_0_555])).
% 2.11/3.53 cnf(i_0_1131, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601])).
% 2.11/3.53 cnf(i_0_1132, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1133, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,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),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)), inference(rename_variables,[],[i_0_601])).
% 2.11/3.53 cnf(i_0_1134, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602])).
% 2.11/3.53 cnf(i_0_1135, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1136, 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_602])).
% 2.11/3.53 cnf(i_0_1137, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604])).
% 2.11/3.53 cnf(i_0_1138, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1139, 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_604])).
% 2.11/3.53 cnf(i_0_1140, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611])).
% 2.11/3.53 cnf(i_0_1141, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), inference(rename_variables,[],[i_0_773])).
% 2.11/3.53 cnf(i_0_1142, plain, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2),X2)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Oordered__idom(X2)), inference(rename_variables,[],[i_0_611])).
% 2.11/3.53 cnf(i_0_1143, plain, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_nat),c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612])).
% 2.11/3.53 cnf(i_0_1144, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1145, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1146, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)|c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)), inference(rename_variables,[],[i_0_612])).
% 2.11/3.53 cnf(i_0_1147, 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_852,i_0_773,i_0_1053,i_0_1141,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582])).
% 2.11/3.53 cnf(i_0_1148, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), inference(rename_variables,[],[i_0_773])).
% 2.11/3.53 cnf(i_0_1149, 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_582])).
% 2.11/3.53 cnf(i_0_1150, 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_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557])).
% 2.11/3.53 cnf(i_0_1151, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), inference(rename_variables,[],[i_0_773])).
% 2.11/3.53 cnf(i_0_1152, 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_557])).
% 2.11/3.53 cnf(i_0_1153, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588])).
% 2.11/3.53 cnf(i_0_1154, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), inference(rename_variables,[],[i_0_773])).
% 2.11/3.53 cnf(i_0_1155, 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_588])).
% 2.11/3.53 cnf(i_0_1156, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(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_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589])).
% 2.11/3.53 cnf(i_0_1157, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal)), inference(rename_variables,[],[i_0_773])).
% 2.11/3.53 cnf(i_0_1158, 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_589])).
% 2.11/3.53 cnf(i_0_1159, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(c_Suc(X1))),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747])).
% 2.11/3.53 cnf(i_0_1160, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)), inference(rename_variables,[],[i_0_747])).
% 2.11/3.53 cnf(i_0_1161, plain, (~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_Suc(c_HOL_Oone__class_Oone(tc_nat)),tc_nat),c_Power_Opower__class_Opower(c_Suc(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712])).
% 2.11/3.53 cnf(i_0_1162, 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_712])).
% 2.11/3.53 cnf(i_0_1163, plain, (~class_OrderedGroup_Olordered__ab__group__add(tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_820,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712,i_0_654])).
% 2.11/3.53 cnf(i_0_1164, 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_654])).
% 2.11/3.53 cnf(i_0_1165, plain, (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)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1128,i_0_770,i_0_1115,i_0_820,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712,i_0_654,i_0_737])).
% 2.11/3.53 cnf(i_0_1166, 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_737])).
% 2.11/3.53 cnf(i_0_1167, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat),X1,tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1144,i_0_1128,i_0_770,i_0_1115,i_0_820,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_879,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712,i_0_654,i_0_737,i_0_558])).
% 2.11/3.53 cnf(i_0_1168, plain, (c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)), inference(rename_variables,[],[i_0_825])).
% 2.11/3.53 cnf(i_0_1169, 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_HOL_Oord__class_Oless(X1,X4,X3)), inference(rename_variables,[],[i_0_558])).
% 2.11/3.53 cnf(i_0_1170, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1144,i_0_1128,i_0_770,i_0_1115,i_0_820,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_879,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712,i_0_654,i_0_737,i_0_558,i_0_556])).
% 2.11/3.53 cnf(i_0_1171, 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_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_556])).
% 2.11/3.53 cnf(i_0_1172, plain, (c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat)=X1|c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_775,i_0_1050,i_0_1055,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1144,i_0_1128,i_0_770,i_0_1115,i_0_820,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_879,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712,i_0_654,i_0_737,i_0_558,i_0_556,i_0_753])).
% 2.11/3.53 cnf(i_0_1173, plain, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|c_HOL_Oord__class_Oless(X2,X1,tc_nat)|X1=X2), inference(rename_variables,[],[i_0_753])).
% 2.11/3.53 cnf(i_0_1174, plain, (~class_OrderedGroup_Olordered__ab__group__add(tc_nat)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,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)|~c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)), inference(scs_inference,[],[i_0_852,i_0_773,i_0_1053,i_0_1141,i_0_1148,i_0_1151,i_0_1154,i_0_1157,i_0_775,i_0_1050,i_0_1055,i_0_1125,i_0_850,i_0_1063,i_0_757,i_0_825,i_0_1047,i_0_1111,i_0_1114,i_0_1124,i_0_1129,i_0_1132,i_0_1135,i_0_1138,i_0_1144,i_0_1128,i_0_770,i_0_1115,i_0_820,i_0_829,i_0_854,i_0_857,i_0_860,i_0_863,i_0_866,i_0_869,i_0_872,i_0_875,i_0_876,i_0_878,i_0_879,i_0_880,i_0_881,i_0_882,i_0_883,i_0_884,i_0_885,i_0_887,i_0_888,i_0_890,i_0_892,i_0_894,i_0_895,i_0_896,i_0_898,i_0_899,i_0_900,i_0_902,i_0_904,i_0_906,i_0_908,i_0_911,i_0_914,i_0_915,i_0_917,i_0_919,i_0_920,i_0_921,i_0_922,i_0_923,i_0_924,i_0_926,i_0_927,i_0_929,i_0_931,i_0_933,i_0_935,i_0_936,i_0_938,i_0_941,i_0_944,i_0_947,i_0_950,i_0_953,i_0_826,i_0_957,i_0_728,i_0_730,i_0_988,i_0_989,i_0_990,i_0_710,i_0_711,i_0_958,i_0_978,i_0_979,i_0_980,i_0_981,i_0_982,i_0_983,i_0_984,i_0_985,i_0_986,i_0_987,i_0_991,i_0_992,i_0_993,i_0_994,i_0_995,i_0_996,i_0_997,i_0_998,i_0_999,i_0_1000,i_0_1001,i_0_1002,i_0_1003,i_0_1004,i_0_1005,i_0_1006,i_0_1007,i_0_1009,i_0_1010,i_0_1011,i_0_1012,i_0_1013,i_0_1014,i_0_1015,i_0_1016,i_0_1017,i_0_1018,i_0_1019,i_0_1020,i_0_1022,i_0_1023,i_0_1024,i_0_1025,i_0_1026,i_0_1027,i_0_1028,i_0_655,i_0_674,i_0_800,i_0_736,i_0_616,i_0_555,i_0_601,i_0_602,i_0_604,i_0_611,i_0_612,i_0_582,i_0_557,i_0_588,i_0_589,i_0_747,i_0_712,i_0_654,i_0_737,i_0_558,i_0_556,i_0_657,i_0_495])).
% 2.11/3.53 cnf(i_0_1175,plain, ($false), inference(scs_inference,[],[i_0+1043, i_0_1044]), ['proof']).
% 2.11/3.53 % SZS output end CNFRefutation
% 2.11/3.53 % Total time : 1.281s
%------------------------------------------------------------------------------