CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : ALG424-1 : 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 : n008.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 04:08:42 PM UTC 2026

% Result   : Unsatisfiable 3.66s 4.68s
% Output   : CNFRefutation 4.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG424-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n008.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 10:33:43 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 3.66/4.68  % Version  : CSE_E---1.7
% 3.66/4.68  % Problem  : theBenchmark.p
% 3.66/4.68  % SZS status Unsatisfiable for theBenchmark.p
% 3.66/4.68  % SZS output start CNFRefutation
% 3.66/4.68  cnf(cls_add__nonneg__eq__0__iff_2, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonneg__eq__0__iff_2)).
% 3.66/4.68  cnf(cls_mult_Oprod__diff__prod_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),X5,X1),X1),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult_Oprod__diff__prod_0)).
% 3.66/4.68  cnf(cls_abs__diff__triangle__ineq_0, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__diff__triangle__ineq_0)).
% 3.66/4.68  cnf(cls_DERIV__mult__lemma_0, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X6,X1)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X5,X1),X6,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X4,X1),X6,X1),X5,X1),X1)|~class_RealVector_Oreal__field(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_DERIV__mult__lemma_0)).
% 3.66/4.68  cnf(cls_DERIV__inverse__lemma_0, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1),X4,X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_DERIV__inverse__lemma_0)).
% 3.66/4.68  cnf(cls_le__add__iff1_1, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__add__iff1_1)).
% 3.66/4.68  cnf(cls_less__add__iff1_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__add__iff1_1)).
% 3.66/4.68  cnf(cls_le__add__iff2_1, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__add__iff2_1)).
% 3.66/4.68  cnf(cls_less__add__iff2_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__add__iff2_1)).
% 3.66/4.68  cnf(cls_le__add__iff1_0, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__add__iff1_0)).
% 3.66/4.68  cnf(cls_less__add__iff1_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__add__iff1_0)).
% 3.66/4.68  cnf(cls_le__add__iff2_0, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__add__iff2_0)).
% 3.66/4.68  cnf(cls_less__add__iff2_0, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__add__iff2_0)).
% 3.66/4.68  cnf(cls_inf__period_I4_J_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Odvd(X1)|~class_Ring__and__Field_Ocomm__ring(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X5,X6,X1),X1),X4,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X6,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inf__period_I4_J_1)).
% 3.66/4.68  cnf(cls_inf__period_I4_J_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X6,X1),X1)|~class_Ring__and__Field_Odvd(X1)|~class_Ring__and__Field_Ocomm__ring(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X3,X6,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inf__period_I4_J_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_eq__add__iff2_1, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1)|~class_Ring__and__Field_Oring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__add__iff2_1)).
% 3.66/4.68  cnf(cls_eq__add__iff1_1, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X1)|~class_Ring__and__Field_Oring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__add__iff1_1)).
% 3.66/4.68  cnf(cls_div__mod__equality_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),c_Divides_Odiv__class_Omod(X2,X3,X1),X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mod__equality_0)).
% 3.66/4.68  cnf(cls_div__mod__equality2_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1),c_Divides_Odiv__class_Omod(X3,X2,X1),X1),X4,X1)=c_HOL_Oplus__class_Oplus(X3,X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mod__equality2_0)).
% 3.66/4.68  cnf(cls_Deriv_Oinverse__diff__inverse_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Deriv_Oinverse__diff__inverse_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_diff__frac__eq_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|X5=c_HOL_Ozero__class_Ozero(X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__frac__eq_0)).
% 3.66/4.68  cnf(cls_sum__squares__le__zero__iff_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_sum__squares__le__zero__iff_0)).
% 3.66/4.68  cnf(cls_sum__squares__le__zero__iff_1, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_sum__squares__le__zero__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_eq__add__iff1_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1)=X6|~class_Ring__and__Field_Oring(X1)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__add__iff1_0)).
% 3.66/4.68  cnf(cls_eq__add__iff2_0, axiom, (X4=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1)|~class_Ring__and__Field_Oring(X1)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__add__iff2_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__diff__less__iff_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X4,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__diff__less__iff_2)).
% 3.66/4.68  cnf(cls_divide__le__eq_9, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_9)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__eq_8, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_8)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__divide__eq_9, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_9)).
% 3.66/4.68  cnf(cls_le__divide__eq_8, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_8)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mod__mult__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__eq_0)).
% 3.66/4.68  cnf(cls_mod__add__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__add__eq_0)).
% 3.66/4.68  cnf(cls_mod__diff__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Oring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__diff__eq_0)).
% 3.66/4.68  cnf(cls_abs__triangle__ineq3_0, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__triangle__ineq3_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__left__mono__neg_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__left__mono__neg_0)).
% 3.66/4.68  cnf(cls_divide__left__mono_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__left__mono_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__mult__div__if__dvd_0, axiom, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_Divides_Odiv__class_Odiv(X4,X5,X1),X1)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__div__if__dvd_0)).
% 3.66/4.68  cnf(cls_sum__squares__le__zero__iff_2, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_sum__squares__le__zero__iff_2)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mod__mult__cong_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X6,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__cong_0)).
% 3.66/4.68  cnf(cls_mod__add__cong_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__add__cong_0)).
% 3.66/4.68  cnf(cls_mod__diff__cong_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)|~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__diff__cong_0)).
% 3.66/4.68  cnf(cls_div__dvd__div_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X4,X1),c_Divides_Odiv__class_Odiv(X3,X4,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__dvd__div_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_frac__le_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X5,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_frac__le_0)).
% 3.66/4.68  cnf(cls_mult__mono_H_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__mono_H_0)).
% 3.66/4.68  cnf(cls_mult__mono_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__mono_0)).
% 3.66/4.68  cnf(cls_frac__less_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X5,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_frac__less_0)).
% 3.66/4.68  cnf(cls_frac__less2_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X5,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_frac__less2_0)).
% 3.66/4.68  cnf(cls_mult__less__le__imp__less_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__le__imp__less_0)).
% 3.66/4.68  cnf(cls_mult__le__less__imp__less_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__less__imp__less_0)).
% 3.66/4.68  cnf(cls_mult__strict__mono_H_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__strict__mono_H_0)).
% 3.66/4.68  cnf(cls_mult__strict__mono_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__strict__mono_0)).
% 3.66/4.68  cnf(cls_abs__mult__less_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X1),X5,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__mult__less_0)).
% 3.66/4.68  cnf(cls_abs__diff__less__iff_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X2,X1),X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__diff__less__iff_0)).
% 3.66/4.68  cnf(cls_abs__diff__less__iff_1, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__diff__less__iff_1)).
% 3.66/4.68  cnf(cls_div__add_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X4,X1),c_Divides_Odiv__class_Odiv(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__add_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_sum__squares__ge__zero_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_sum__squares__ge__zero_0)).
% 3.66/4.68  cnf(cls_divide__le__eq_5, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_5)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__eq_4, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_4)).
% 3.66/4.68  cnf(cls_divide__le__eq_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__divide__eq_5, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_5)).
% 3.66/4.68  cnf(cls_le__divide__eq_4, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_4)).
% 3.66/4.68  cnf(cls_le__divide__eq_1, axiom, (c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__eq_7, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_7)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__divide__eq_7, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_7)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__right__le__imp__le_0, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__right__le__imp__le_0)).
% 3.66/4.68  cnf(cls_mult__left__le__imp__le_0, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__left__le__imp__le_0)).
% 3.66/4.68  cnf(cls_mult__le__cancel__left__pos_0, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel__left__pos_0)).
% 3.66/4.68  cnf(cls_mult__right__less__imp__less_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__right__less__imp__less_0)).
% 3.66/4.68  cnf(cls_mult__left__less__imp__less_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__left__less__imp__less_0)).
% 3.66/4.68  cnf(cls_power__less__imp__less__base_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__less__imp__less__base_0)).
% 3.66/4.68  cnf(cls_mult__less__imp__less__right_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__imp__less__right_0)).
% 3.66/4.68  cnf(cls_mult__less__imp__less__left_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__imp__less__left_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__le__cancel__left__neg_0, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel__left__neg_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_power__increasing__iff_0, axiom, (c_lessequals(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(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__increasing__iff_0)).
% 3.66/4.68  cnf(cls_power__le__imp__le__exp_0, axiom, (c_lessequals(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(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__le__imp__le__exp_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_inverse__add_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__add_0)).
% 3.66/4.68  cnf(cls_division__ring__inverse__add_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_division__ring__inverse__add_0)).
% 3.66/4.68  cnf(cls_division__ring__inverse__diff_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ominus__class_Ominus(X3,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_division__ring__inverse__diff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__le__cancel2_0, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel2_0)).
% 3.66/4.68  cnf(cls_mult__le__cancel1_0, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel1_0)).
% 3.66/4.68  cnf(cls_nat__mult__le__cancel1_0, axiom, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__le__cancel1_0)).
% 3.66/4.68  cnf(cls_nat__mult__less__cancel1_0, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__less__cancel1_0)).
% 3.66/4.68  cnf(cls_power__decreasing_0, axiom, (c_lessequals(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_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X4,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__decreasing_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__mult__self2_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X3,X1)=c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X2,X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__self2_0)).
% 3.66/4.68  cnf(cls_div__mult__self1_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X4,X1)=c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X4,X1),X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__self1_0)).
% 3.66/4.68  cnf(cls_power__strict__mono_0, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,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_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__strict__mono_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_Deriv_Oadd__diff__add_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Deriv_Oadd__diff__add_0)).
% 3.66/4.68  cnf(cls_zmod__simps_I4_J_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zmod__simps_I4_J_0)).
% 3.66/4.68  cnf(cls_zmod__simps_I1_J_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zmod__simps_I1_J_0)).
% 3.66/4.68  cnf(cls_zmod__simps_I2_J_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zmod__simps_I2_J_0)).
% 3.66/4.68  cnf(cls_mod__mult__left__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__left__eq_0)).
% 3.66/4.68  cnf(cls_mod__add__left__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__add__left__eq_0)).
% 3.66/4.68  cnf(cls_mod__diff__left__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)|~class_Divides_Oring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__diff__left__eq_0)).
% 3.66/4.68  cnf(cls_mod__mult__right__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__right__eq_0)).
% 3.66/4.68  cnf(cls_mod__add__right__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__add__right__eq_0)).
% 3.66/4.68  cnf(cls_mod__diff__right__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Oring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__diff__right__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__dvd__div_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_Divides_Odiv__class_Odiv(X4,X3,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__dvd__div_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__eq_6, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_6)).
% 3.66/4.68  cnf(cls_le__divide__eq_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__divide__eq_6, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_6)).
% 3.66/4.68  cnf(cls_divide__le__eq_0, axiom, (c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__power_0, axiom, (c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__power_0)).
% 3.66/4.68  cnf(cls_mult__imp__div__pos__le_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__imp__div__pos__le_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__imp__le__div__pos_0, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__imp__le__div__pos_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__triangle__ineq2_0, axiom, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__triangle__ineq2_0)).
% 3.66/4.68  cnf(cls_abs__le__mult_0, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)|~class_Ring__and__Field_Olordered__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__le__mult_0)).
% 3.66/4.68  cnf(cls_abs__triangle__ineq_0, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__triangle__ineq_0)).
% 3.66/4.68  cnf(cls_abs__triangle__ineq4_0, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__triangle__ineq4_0)).
% 3.66/4.68  cnf(cls_le__add__right__mono_0, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1)|~c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__add__right__mono_0)).
% 3.66/4.68  cnf(cls_power__le__dvd_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_lessequals(X3,X5,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X5,X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__le__dvd_0)).
% 3.66/4.68  cnf(cls_mod__div__equality_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),c_Divides_Odiv__class_Omod(X2,X3,X1),X1)=X2|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__div__equality_0)).
% 3.66/4.68  cnf(cls_mod__div__equality2_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1),c_Divides_Odiv__class_Omod(X3,X2,X1),X1)=X3|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__div__equality2_0)).
% 3.66/4.68  cnf(cls_semiring__div__class_Omod__div__equality_H_0, axiom, (c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),X1)=X2|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_semiring__div__class_Omod__div__equality_H_0)).
% 3.66/4.68  cnf(cls_mod__div__decomp_0, axiom, (X2=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),c_Divides_Odiv__class_Omod(X2,X3,X1),X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__div__decomp_0)).
% 3.66/4.68  cnf(cls_dvd__mult__cancel__right_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__cancel__right_0)).
% 3.66/4.68  cnf(cls_dvd__mult__cancel__left_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__cancel__left_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_add__le__cancel__right_0, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__le__cancel__right_0)).
% 3.66/4.68  cnf(cls_add__le__cancel__left_0, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__le__cancel__left_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_degree__power__le_0, axiom, (c_lessequals(c_Polynomial_Odegree(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X1),c_HOL_Otimes__class_Otimes(c_Polynomial_Odegree(X2,X1),X3,tc_nat),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_degree__power__le_0)).
% 3.66/4.68  cnf(cls_IH_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X1,c_Polynomial_Odegree(X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(X2,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(X1,v_sko__local__XIH__1(X2,X1),tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X2,tc_Complex_Ocomplex),v_na____,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_IH_1)).
% 3.66/4.68  cnf(cls_estimate__by__abs_0, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X4,X1),X1),X1)|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_estimate__by__abs_0)).
% 3.66/4.68  cnf(cls_mult__less__cancel1_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel1_0)).
% 3.66/4.68  cnf(cls_mult__less__cancel2_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel2_0)).
% 3.66/4.68  cnf(cls_divide__right__mono_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__right__mono_0)).
% 3.66/4.68  cnf(cls_divide__right__mono__neg_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__right__mono__neg_0)).
% 3.66/4.68  cnf(cls_mult__less__cancel2_1, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel2_1)).
% 3.66/4.68  cnf(cls_mult__less__cancel1_1, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel1_1)).
% 3.66/4.68  cnf(cls_power__eq__imp__eq__base_0, axiom, (X2=X4|~class_Ring__and__Field_Oordered__semidom(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X4,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__eq__imp__eq__base_0)).
% 3.66/4.68  cnf(cls_power__mono_0, axiom, (c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__mono_0)).
% 3.66/4.68  cnf(cls_mult__mono1_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono1(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__mono1_0)).
% 3.66/4.68  cnf(cls_mult__left__mono_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__left__mono_0)).
% 3.66/4.68  cnf(cls_mult__le__cancel__left__pos_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel__left__pos_1)).
% 3.66/4.68  cnf(cls_mult__right__mono_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__right__mono_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__le__cancel__left__neg_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel__left__neg_1)).
% 3.66/4.68  cnf(cls_mult__left__mono__neg_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__left__mono__neg_0)).
% 3.66/4.68  cnf(cls_mult__right__mono__neg_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__right__mono__neg_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__right__le__one__le_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__right__le__one__le_0)).
% 3.66/4.68  cnf(cls_mult__left__le__one__le_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__left__le__one__le_0)).
% 3.66/4.68  cnf(cls_power__increasing_0, axiom, (c_lessequals(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_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|~c_lessequals(X3,X4,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__increasing_0)).
% 3.66/4.68  cnf(cls_power__increasing__iff_1, axiom, (c_lessequals(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_lessequals(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__increasing__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__eq_2, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_2)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__divide__eq_2, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_2)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__dvd__mono_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X5,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__dvd__mono_0)).
% 3.66/4.68  cnf(cls_add__mono_0, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__mono_0)).
% 3.66/4.68  cnf(cls_add__less__le__mono_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__less__le__mono_0)).
% 3.66/4.68  cnf(cls_add__le__less__mono_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__le__less__mono_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_dvd__power__le_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_lessequals(X3,X5,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__power__le_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mod__mult__mult2_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__mult2_0)).
% 3.66/4.68  cnf(cls_mod__mult__mult1_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)=c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__mult1_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide_Odiff_0, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_RealVector_Oreal__normed__field(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide_Odiff_0)).
% 3.66/4.68  cnf(cls_diff__divide__distrib_0, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__divide__distrib_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__left_Odiff_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__left_Odiff_0)).
% 3.66/4.68  cnf(cls_mult_Odiff__left_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult_Odiff__left_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult_Odiff__right_0, axiom, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult_Odiff__right_0)).
% 3.66/4.68  cnf(cls_mult__right_Odiff_0, axiom, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__right_Odiff_0)).
% 3.66/4.68  cnf(cls_mod__mult__self2_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__self2_0)).
% 3.66/4.68  cnf(cls_mod__mult__self1_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X4,X1)=c_Divides_Odiv__class_Omod(X2,X4,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__self1_0)).
% 3.66/4.68  cnf(cls_nat__mult__le__cancel1_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__le__cancel1_1)).
% 3.66/4.68  cnf(cls_mult__less__cancel1_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel1_2)).
% 3.66/4.68  cnf(cls_mult__less__mono2_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__mono2_0)).
% 3.66/4.68  cnf(cls_nat__mult__less__cancel1_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__less__cancel1_1)).
% 3.66/4.68  cnf(cls_mult__less__cancel2_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__cancel2_2)).
% 3.66/4.68  cnf(cls_mult__less__mono1_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__less__mono1_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_IH_0, axiom, (c_Polynomial_Opoly(X1,v_sko__local__XIH__1(X1,X2),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X2,c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(X1,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),v_na____,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_IH_0)).
% 3.66/4.68  cnf(cls_mult__le__mono_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__mono_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__eq__mult_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__eq__mult_0)).
% 3.66/4.68  cnf(cls_abs__eq__mult_2, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__eq__mult_2)).
% 3.66/4.68  cnf(cls_abs__eq__mult_1, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__eq__mult_1)).
% 3.66/4.68  cnf(cls_abs__eq__mult_3, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__eq__mult_3)).
% 3.66/4.68  cnf(cls_dvd__div__mult_0, axiom, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__div__mult_0)).
% 3.66/4.68  cnf(cls_dvd__mod__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mod__iff_0)).
% 3.66/4.68  cnf(cls_dvd__mod__imp__dvd_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mod__imp__dvd_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__0__iff_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__0__iff_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__iff_0)).
% 3.66/4.68  cnf(cls_divide__le__0__iff_3, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__iff_3)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__le__divide__iff_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__iff_0)).
% 3.66/4.68  cnf(cls_zero__le__divide__iff_3, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__iff_3)).
% 3.66/4.68  cnf(cls_zero__le__divide__iff_2, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__iff_2)).
% 3.66/4.68  cnf(cls_zero__le__divide__iff_1, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__0__iff_2, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__iff_2)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__eq_3, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__eq_3)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__divide__eq_3, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__divide__eq_3)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__le__0__iff_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__0__iff_1)).
% 3.66/4.68  cnf(cls_mult__le__0__iff_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__0__iff_0)).
% 3.66/4.68  cnf(cls_mult__le__0__iff_3, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__0__iff_3)).
% 3.66/4.68  cnf(cls_zero__le__mult__iff_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__mult__iff_0)).
% 3.66/4.68  cnf(cls_zero__le__mult__iff_3, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__mult__iff_3)).
% 3.66/4.68  cnf(cls_zero__le__mult__iff_2, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__mult__iff_2)).
% 3.66/4.68  cnf(cls_zero__le__mult__iff_1, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__mult__iff_1)).
% 3.66/4.68  cnf(cls_mult__le__0__iff_2, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__0__iff_2)).
% 3.66/4.68  cnf(cls_mod__minus__eq_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X2,X3,X1),X1),X3,X1)|~class_Divides_Oring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__minus__eq_0)).
% 3.66/4.68  cnf(cls_divide__le__0__iff_5, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__iff_5)).
% 3.66/4.68  cnf(cls_divide__le__0__iff_4, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__iff_4)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__le__divide__iff_4, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__iff_4)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__le__divide__iff_5, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__iff_5)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__nonpos__pos_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__nonpos__pos_0)).
% 3.66/4.68  cnf(cls_divide__nonneg__neg_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__nonneg__neg_0)).
% 3.66/4.68  cnf(cls_mult__nonneg__nonpos2_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__nonneg__nonpos2_0)).
% 3.66/4.68  cnf(cls_mult__nonpos__nonneg_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__nonpos__nonneg_0)).
% 3.66/4.68  cnf(cls_split__mult__neg__le_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_split__mult__neg__le_1)).
% 3.66/4.68  cnf(cls_mult__nonneg__nonpos_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__nonneg__nonpos_0)).
% 3.66/4.68  cnf(cls_split__mult__neg__le_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_split__mult__neg__le_0)).
% 3.66/4.68  cnf(cls_mult__le__0__iff_5, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__0__iff_5)).
% 3.66/4.68  cnf(cls_mult__le__0__iff_4, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__0__iff_4)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_add__nonpos__nonpos_0, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonpos__nonpos_0)).
% 3.66/4.68  cnf(cls_add__neg__nonpos_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__neg__nonpos_0)).
% 3.66/4.68  cnf(cls_add__nonpos__neg_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonpos__neg_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__nonneg__pos_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__nonneg__pos_0)).
% 3.66/4.68  cnf(cls_mult__nonneg__nonneg_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__nonneg__nonneg_0)).
% 3.66/4.68  cnf(cls_zero__le__mult__iff_4, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__mult__iff_4)).
% 3.66/4.68  cnf(cls_split__mult__pos__le_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_split__mult__pos__le_0)).
% 3.66/4.68  cnf(cls_add__nonneg__nonneg_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonneg__nonneg_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_add__pos__nonneg_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__pos__nonneg_0)).
% 3.66/4.68  cnf(cls_add__nonneg__pos_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonneg__pos_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__nonpos__neg_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__nonpos__neg_0)).
% 3.66/4.68  cnf(cls_zero__le__mult__iff_5, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__mult__iff_5)).
% 3.66/4.68  cnf(cls_mult__nonpos__nonpos_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__nonpos__nonpos_0)).
% 3.66/4.68  cnf(cls_split__mult__pos__le_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_split__mult__pos__le_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_dvd__poly__gcd__iff_2, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__poly__gcd__iff_2)).
% 3.66/4.68  cnf(cls_poly__gcd__greatest_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__greatest_0)).
% 3.66/4.68  cnf(cls_le__cube_0, axiom, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__cube_0)).
% 3.66/4.68  cnf(cls_dvd__power__same_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__power__same_0)).
% 3.66/4.68  cnf(cls_dvd__mult__cancel__left_2, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__cancel__left_2)).
% 3.66/4.68  cnf(cls_dvd__mult__cancel__right_2, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__cancel__right_2)).
% 3.66/4.68  cnf(cls_add__left__mono_0, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__left__mono_0)).
% 3.66/4.68  cnf(cls_add__le__cancel__left_1, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__le__cancel__left_1)).
% 3.66/4.68  cnf(cls_add__right__mono_0, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__right__mono_0)).
% 3.66/4.68  cnf(cls_add__le__cancel__right_1, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__le__cancel__right_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__imp__power__dvd_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_lessequals(X3,X4,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__imp__power__dvd_0)).
% 3.66/4.68  cnf(cls_add__increasing2_0, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__increasing2_0)).
% 3.66/4.68  cnf(cls_add__increasing_0, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__increasing_0)).
% 3.66/4.68  cnf(cls_add__strict__increasing_0, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__strict__increasing_0)).
% 3.66/4.68  cnf(cls_add__strict__increasing2_0, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__strict__increasing2_0)).
% 3.66/4.68  cnf(cls_zero__le__divide__1__iff_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__1__iff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_divide__le__0__1__iff_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__1__iff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__eq__neg_1, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__eq__neg_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__le__cancel1_2, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel1_2)).
% 3.66/4.68  cnf(cls_mult__le__mono2_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__mono2_0)).
% 3.66/4.68  cnf(cls_mult__le__cancel2_2, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel2_2)).
% 3.66/4.68  cnf(cls_mult__le__mono1_0, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__mono1_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_poly__power_0, axiom, (c_Polynomial_Opoly(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(X2,X4,X1),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__power_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_dvd__add_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__add_0)).
% 3.66/4.68  cnf(cls_dvd__mod_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mod_0)).
% 3.66/4.68  cnf(cls_dvd__mod__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mod__iff_1)).
% 3.66/4.68  cnf(cls_dvd__diff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__diff_0)).
% 3.66/4.68  cnf(cls_div__add__self1_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X2,X1),c_HOL_Oone__class_Oone(X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__add__self1_0)).
% 3.66/4.68  cnf(cls_div__add__self2_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_HOL_Oone__class_Oone(X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__add__self2_0)).
% 3.66/4.68  cnf(cls_mod__minus__cong_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X1),X3,X1)|~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__minus__cong_0)).
% 3.66/4.68  cnf(cls_abs__add__abs_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__add__abs_0)).
% 3.66/4.68  cnf(cls_nat__0__less__mult__iff_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__0__less__mult__iff_2)).
% 3.66/4.68  cnf(cls_power__le__zero__eq_3, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__le__zero__eq_3)).
% 3.66/4.68  cnf(cls_smult__dvd__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X2,X1),X3,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd__iff_1)).
% 3.66/4.68  cnf(cls_dvd__smult__cancel_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X4,X3,X1),tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__smult__cancel_0)).
% 3.66/4.68  cnf(cls_dvd__smult__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X4,X3,X1),tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__smult__iff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__mult__mult1_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)=c_Divides_Odiv__class_Odiv(X3,X4,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__mult1_0)).
% 3.66/4.68  cnf(cls_div__mult__mult2_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)=c_Divides_Odiv__class_Odiv(X2,X4,X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__mult2_0)).
% 3.66/4.68  cnf(cls_zero__le__double__add__iff__zero__le__single__add_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__double__add__iff__zero__le__single__add_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_double__add__le__zero__iff__single__add__le__zero_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_double__add__le__zero__iff__single__add__le__zero_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__dvd__cancel_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X2,X1),X3,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd__cancel_0)).
% 3.66/4.68  cnf(cls_dvd__poly__gcd__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__poly__gcd__iff_0)).
% 3.66/4.68  cnf(cls_dvd__poly__gcd__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X4,X3,X1),tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__poly__gcd__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_poly__smult_0, axiom, (c_Polynomial_Opoly(c_Polynomial_Osmult(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__smult_0)).
% 3.66/4.68  cnf(cls_poly__gcd__assoc_0, axiom, (c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X2,X3,X1),X4,X1)=c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__assoc_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__smult_0, axiom, (c_Polynomial_Osmult(X2,c_Polynomial_Osmult(X3,X4,X1),X1)=c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__smult_0)).
% 3.66/4.68  cnf(cls_poly__gcd__left__commute_0, axiom, (c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),X1)=c_Polynomial_Opoly__gcd(X3,c_Polynomial_Opoly__gcd(X2,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__left__commute_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_power__mult_0, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)=c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)|~class_OrderedGroup_Omonoid__mult(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__mult_0)).
% 3.66/4.68  cnf(cls_class__semiring_Opwr__pwr_0, axiom, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)=c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Opwr__pwr_0)).
% 3.66/4.68  cnf(cls_degree__smult__le_0, axiom, (c_lessequals(c_Polynomial_Odegree(c_Polynomial_Osmult(X2,X3,X1),X1),c_Polynomial_Odegree(X3,X1),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_degree__smult__le_0)).
% 3.66/4.68  cnf(cls_inverse__le__imp__le_0, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__le__imp__le_0)).
% 3.66/4.68  cnf(cls_inverse__less__imp__less_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,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_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__less__imp__less_0)).
% 3.66/4.68  cnf(cls_inverse__le__imp__le__neg_0, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__le__imp__le__neg_0)).
% 3.66/4.68  cnf(cls_inverse__less__imp__less__neg_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__less__imp__less__neg_0)).
% 3.66/4.68  cnf(cls_le__iff__diff__le__0_1, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__iff__diff__le__0_1)).
% 3.66/4.68  cnf(cls_less__iff__diff__less__0_1, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__iff__diff__less__0_1)).
% 3.66/4.68  cnf(cls_le__eqI_1, axiom, (c_lessequals(X3,X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_lessequals(X5,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__eqI_1)).
% 3.66/4.68  cnf(cls_le__eqI_0, axiom, (c_lessequals(X5,X4,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_lessequals(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__eqI_0)).
% 3.66/4.68  cnf(cls_less__eqI_1, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_HOL_Oord__class_Oless(X4,X5,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__eqI_1)).
% 3.66/4.68  cnf(cls_less__eqI_0, axiom, (c_HOL_Oord__class_Oless(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__eqI_0)).
% 3.66/4.68  cnf(cls_smult__dvd__iff_4, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X3,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd__iff_4)).
% 3.66/4.68  cnf(cls_mult__le__cancel1_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel1_1)).
% 3.66/4.68  cnf(cls_mult__le__cancel2_1, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__le__cancel2_1)).
% 3.66/4.68  cnf(cls_dvd__mult__left_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__left_0)).
% 3.66/4.68  cnf(cls_dvd__mult__right_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__right_0)).
% 3.66/4.68  cnf(cls_nat__mult__assoc_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__assoc_0)).
% 3.66/4.68  cnf(cls_abs__div__pos_0, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__div__pos_0)).
% 3.66/4.68  cnf(cls_mod__mod__cancel_0, axiom, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(X2,X4,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mod__cancel_0)).
% 3.66/4.68  cnf(cls_nat__0__less__mult__iff_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__0__less__mult__iff_0)).
% 3.66/4.68  cnf(cls_nat__0__less__mult__iff_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__0__less__mult__iff_1)).
% 3.66/4.68  cnf(cls_abs__mult__pos_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__mult__pos_0)).
% 3.66/4.68  cnf(cls_div__mult__mult1__if_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__mult1__if_0)).
% 3.66/4.68  cnf(cls_le__eq__neg_0, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__eq__neg_0)).
% 3.66/4.68  cnf(cls_smult__dvd__iff_0, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),X3,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd__iff_0)).
% 3.66/4.68  cnf(cls_abs__le__iff_2, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__le__iff_2)).
% 3.66/4.68  cnf(cls_abs__leI_0, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__leI_0)).
% 3.66/4.68  cnf(cls_abs__less__iff_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__less__iff_2)).
% 3.66/4.68  cnf(cls_abs__power__minus_0, axiom, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1),X1)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__power__minus_0)).
% 3.66/4.68  cnf(cls_dvd__mult__cancel__left_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__cancel__left_1)).
% 3.66/4.68  cnf(cls_dvd__mult__cancel__right_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X1),X1),X1)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__cancel__right_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_add__nonneg__eq__0__iff_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonneg__eq__0__iff_0)).
% 3.66/4.68  cnf(cls_add__nonneg__eq__0__iff_1, axiom, (X3=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__nonneg__eq__0__iff_1)).
% 3.66/4.68  cnf(cls_le__imp__inverse__le_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__imp__inverse__le_0)).
% 3.66/4.68  cnf(cls_less__imp__inverse__less_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(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(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__imp__inverse__less_0)).
% 3.66/4.68  cnf(cls_le__imp__inverse__le__neg_0, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__imp__inverse__le__neg_0)).
% 3.66/4.68  cnf(cls_less__imp__inverse__less__neg_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__imp__inverse__less__neg_0)).
% 3.66/4.68  cnf(cls_dvd__neg__div_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X3,X1),X1)|~class_Divides_Oring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__neg__div_0)).
% 3.66/4.68  cnf(cls_dvd__div__neg_0, axiom, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X3,X1),X1)|~class_Divides_Oring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__div__neg_0)).
% 3.66/4.68  cnf(cls_one__le__inverse__iff_2, axiom, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(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_one__le__inverse__iff_2)).
% 3.66/4.68  cnf(cls_one__less__inverse__iff_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,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_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_one__less__inverse__iff_2)).
% 3.66/4.68  cnf(cls_divide__le__0__1__iff_1, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__le__0__1__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__le__divide__1__iff_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__divide__1__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_power__le__zero__eq_0, axiom, (~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__le__zero__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__dvd_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X3,X1),X4,tc_Polynomial_Opoly(X1))|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd_0)).
% 3.66/4.68  cnf(cls_smult__dvd__iff_2, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X3,X1),X4,tc_Polynomial_Opoly(X1))|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd__iff_2)).
% 3.66/4.68  cnf(cls_dvd__smult__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1))|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__smult__iff_1)).
% 3.66/4.68  cnf(cls_inverse__le__1__iff_0, axiom, (c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__le__1__iff_0)).
% 3.66/4.68  cnf(cls_inverse__less__1__iff_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__less__1__iff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_double__add__le__zero__iff__single__add__le__zero_1, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_double__add__le__zero__iff__single__add__le__zero_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_one__le__power_0, axiom, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__le__power_0)).
% 3.66/4.68  cnf(cls_zero__le__power__iff_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__power__iff_1)).
% 3.66/4.68  cnf(cls_zero__le__power_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__power_0)).
% 3.66/4.68  cnf(cls_zero__le__double__add__iff__zero__le__single__add_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__double__add__iff__zero__le__single__add_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_dvd__smult_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__smult_0)).
% 3.66/4.68  cnf(cls_le__iff__diff__le__0_0, axiom, (c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__iff__diff__le__0_0)).
% 3.66/4.68  cnf(cls_less__iff__diff__less__0_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__iff__diff__less__0_0)).
% 3.66/4.68  cnf(cls_dvd__power_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__power_0)).
% 3.66/4.68  cnf(cls_nat__mult__eq__cancel1_0, axiom, (X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__eq__cancel1_0)).
% 3.66/4.68  cnf(cls_conjecture_0, negated_conjecture, (~c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_conjecture_0)).
% 3.66/4.68  cnf(cls_dvd__div__mult__self_0, axiom, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1)=X2|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__div__mult__self_0)).
% 3.66/4.68  cnf(cls_dvd__mult__div__cancel_0, axiom, (c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1)=X3|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult__div__cancel_0)).
% 3.66/4.68  cnf(cls_dvd__mult2_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult2_0)).
% 3.66/4.68  cnf(cls_dvd__mult_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__mult_0)).
% 3.66/4.68  cnf(cls_abs__minus__commute_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__minus__commute_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_nonzero__inverse__mult__distrib_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__inverse__mult__distrib_0)).
% 3.66/4.68  cnf(cls_abs__divide_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__divide_0)).
% 3.66/4.68  cnf(cls_inverse__mult__distrib_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(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_inverse__mult__distrib_0)).
% 3.66/4.68  cnf(cls_nonzero__abs__divide_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__abs__divide_0)).
% 3.66/4.68  cnf(cls_dvd__trans_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__trans_0)).
% 3.66/4.68  cnf(cls_order__trans_0, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__trans_0)).
% 3.66/4.68  cnf(cls_xt1_I6_J_0, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_xt1_I6_J_0)).
% 3.66/4.68  cnf(cls_order__less__le__trans_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__less__le__trans_0)).
% 3.66/4.68  cnf(cls_order__le__less__trans_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_lessequals(X2,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__le__less__trans_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_xt1_I8_J_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_xt1_I8_J_0)).
% 3.66/4.68  cnf(cls_xt1_I7_J_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_xt1_I7_J_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_Lim_Ominus__diff__minus_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_Lim_Ominus__diff__minus_0)).
% 3.66/4.68  cnf(cls_abs__mult_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__mult_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_neg__le__iff__le_0, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__le__iff__le_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__le__power__abs_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__power__abs_0)).
% 3.66/4.68  cnf(cls_mod__add__self1_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1)=c_Divides_Odiv__class_Omod(X3,X2,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__add__self1_0)).
% 3.66/4.68  cnf(cls_mod__add__self2_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__add__self2_0)).
% 3.66/4.68  cnf(cls_mod__mod__trivial_0, axiom, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mod__trivial_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__trans_0, axiom, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__trans_0)).
% 3.66/4.68  cnf(cls_dvd__imp__degree__le_0, axiom, (c_lessequals(c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X3,X1),tc_nat)|X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__imp__degree__le_0)).
% 3.66/4.68  cnf(cls_CHAINED_0_03, axiom, (c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0_03)).
% 3.66/4.68  cnf(cls_power__inverse_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__inverse_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__le__D2_0, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__le__D2_0)).
% 3.66/4.68  cnf(cls_minus__le__iff_0, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__le__iff_0)).
% 3.66/4.68  cnf(cls_minus__le__iff_1, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__le__iff_1)).
% 3.66/4.68  cnf(cls_abs__less__iff_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__less__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__minus__iff_0, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__minus__iff_0)).
% 3.66/4.68  cnf(cls_le__minus__iff_1, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__minus__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_nonzero__power__inverse_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__power__inverse_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_inverse__nonnegative__iff__nonnegative_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__nonnegative__iff__nonnegative_0)).
% 3.66/4.68  cnf(cls_one__le__inverse__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_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__le__inverse__iff_0)).
% 3.66/4.68  cnf(cls_one__less__inverse__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_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__less__inverse__iff_0)).
% 3.66/4.68  cnf(cls_inverse__positive__iff__positive_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_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__positive__iff__positive_0)).
% 3.66/4.68  cnf(cls_inverse__nonpositive__iff__nonpositive_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__nonpositive__iff__nonpositive_0)).
% 3.66/4.68  cnf(cls_inverse__negative__iff__negative_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_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__negative__iff__negative_0)).
% 3.66/4.68  cnf(cls_one__le__inverse__iff_1, axiom, (c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__le__inverse__iff_1)).
% 3.66/4.68  cnf(cls_one__less__inverse__iff_1, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__less__inverse__iff_1)).
% 3.66/4.68  cnf(cls_inverse__positive__imp__positive_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__positive__imp__positive_0)).
% 3.66/4.68  cnf(cls_inverse__negative__imp__negative_0, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__negative__imp__negative_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_power__abs_0, axiom, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__abs_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__dvd__iff_3, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__dvd__iff_3)).
% 3.66/4.68  cnf(cls_neg__le__0__iff__le_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__le__0__iff__le_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_neg__0__le__iff__le_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__0__le__iff__le_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_less__le__not__le_2, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__le__not__le_2)).
% 3.66/4.68  cnf(cls_CHAINED_0_01, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)|c_Polynomial_Oorder(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(X3,X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0_01)).
% 3.66/4.68  cnf(cls_le__imp__neg__le_0, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__imp__neg__le_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_inverse__le__1__iff_2, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__le__1__iff_2)).
% 3.66/4.68  cnf(cls_inverse__less__1__iff_2, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__less__1__iff_2)).
% 3.66/4.68  cnf(cls_inverse__le__1__iff_1, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__le__1__iff_1)).
% 3.66/4.68  cnf(cls_inverse__nonpositive__iff__nonpositive_1, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__nonpositive__iff__nonpositive_1)).
% 3.66/4.68  cnf(cls_inverse__less__1__iff_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__less__1__iff_1)).
% 3.66/4.68  cnf(cls_inverse__negative__iff__negative_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(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_inverse__negative__iff__negative_1)).
% 3.66/4.68  cnf(cls_inverse__nonnegative__iff__nonnegative_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__nonnegative__iff__nonnegative_1)).
% 3.66/4.68  cnf(cls_inverse__positive__iff__positive_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(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_inverse__positive__iff__positive_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_neg__less__eq__nonneg_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__less__eq__nonneg_0)).
% 3.66/4.68  cnf(cls_minus__le__self__iff_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__le__self__iff_0)).
% 3.66/4.68  cnf(cls_less__eq__neg__nonpos_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__eq__neg__nonpos_0)).
% 3.66/4.68  cnf(cls_le__minus__self__iff_0, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__minus__self__iff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_neg__le__0__iff__le_1, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__le__0__iff__le_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_negative__imp__inverse__negative_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_negative__imp__inverse__negative_0)).
% 3.66/4.68  cnf(cls_positive__imp__inverse__positive_0, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_positive__imp__inverse__positive_0)).
% 3.66/4.68  cnf(cls_neg__0__le__iff__le_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__0__le__iff__le_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_inverse__divide_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)=c_HOL_Oinverse__class_Odivide(X3,X2,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__divide_0)).
% 3.66/4.68  cnf(cls_minus__dvd__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__dvd__iff_0)).
% 3.66/4.68  cnf(cls_abs__dvd__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__dvd__iff_0)).
% 3.66/4.68  cnf(cls_abs__le__D1_0, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__le__D1_0)).
% 3.66/4.68  cnf(cls_abs__less__iff_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__less__iff_0)).
% 3.66/4.68  cnf(cls_dvd__minus__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__minus__iff_0)).
% 3.66/4.68  cnf(cls_dvd__abs__iff_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oabs__class_Oabs(X3,X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__abs__iff_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_dvd__power_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__power_1)).
% 3.66/4.68  cnf(cls_neg__less__eq__nonneg_1, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_neg__less__eq__nonneg_1)).
% 3.66/4.68  cnf(cls_minus__le__self__iff_1, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__le__self__iff_1)).
% 3.66/4.68  cnf(cls_less__eq__neg__nonpos_1, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__eq__neg__nonpos_1)).
% 3.66/4.68  cnf(cls_le__minus__self__iff_1, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__minus__self__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_minus__diff__eq_0, axiom, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)=c_HOL_Ominus__class_Ominus(X3,X2,X1)|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__diff__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_order__antisym_0, axiom, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__antisym_0)).
% 3.66/4.68  cnf(cls_order__eq__iff_2, axiom, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__eq__iff_2)).
% 3.66/4.68  cnf(cls_order__antisym__conv_0, axiom, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)|~c_lessequals(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__antisym__conv_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_eq__eqI_1, axiom, (X2=X3|~class_OrderedGroup_Oab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__eqI_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_eq__eqI_0, axiom, (X3=X4|~class_OrderedGroup_Oab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X2,X1)!=c_HOL_Ominus__class_Ominus(X3,X4,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__eqI_0)).
% 3.66/4.68  cnf(cls_less__le__not__le_1, axiom, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_less__le__not__le_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_linorder__antisym__conv2_1, axiom, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X2,X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__antisym__conv2_1)).
% 3.66/4.68  cnf(cls_linorder__not__less_1, axiom, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__not__less_1)).
% 3.66/4.68  cnf(cls_linorder__not__le_1, axiom, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__not__le_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__mult__self1__is__id_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)=X3|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__self1__is__id_0)).
% 3.66/4.68  cnf(cls_div__mult__self2__is__id_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)=X2|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__mult__self2__is__id_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_poly__gcd__dvd1_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X2,X3,X1),X2,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__dvd1_0)).
% 3.66/4.68  cnf(cls_poly__gcd__dvd2_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X2,X3,X1),X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__dvd2_0)).
% 3.66/4.68  cnf(cls_zero__le__square_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__square_0)).
% 3.66/4.68  cnf(cls_abs__dvd__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__dvd__iff_1)).
% 3.66/4.68  cnf(cls_minus__dvd__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_minus__dvd__iff_1)).
% 3.66/4.68  cnf(cls_dvd__abs__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__abs__iff_1)).
% 3.66/4.68  cnf(cls_dvd__minus__iff_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__minus__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__cancel2_0, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__cancel2_0)).
% 3.66/4.68  cnf(cls_nat__mult__eq__cancel__disj_0, axiom, (X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__eq__cancel__disj_0)).
% 3.66/4.68  cnf(cls_mult__cancel1_0, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__cancel1_0)).
% 3.66/4.68  cnf(cls_mod__div__trivial_0, axiom, (c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__div__trivial_0)).
% 3.66/4.68  cnf(cls_mod__mult__self1__is__0_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__self1__is__0_0)).
% 3.66/4.68  cnf(cls_mod__mult__self2__is__0_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__mult__self2__is__0_0)).
% 3.66/4.68  cnf(cls_le__antisym_0, axiom, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__antisym_0)).
% 3.66/4.68  cnf(cls_diff__add__cancel_0, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__add__cancel_0)).
% 3.66/4.68  cnf(cls_add__diff__cancel_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_add__diff__cancel_0)).
% 3.66/4.68  cnf(cls_dvd__triv__left_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__triv__left_0)).
% 3.66/4.68  cnf(cls_dvdI_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Odvd(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvdI_0)).
% 3.66/4.68  cnf(cls_dvd__triv__right_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__triv__right_0)).
% 3.66/4.68  cnf(cls_abs__mult__self_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)=c_HOL_Otimes__class_Otimes(X2,X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__mult__self_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__less__abs__iff_0, axiom, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__less__abs__iff_0)).
% 3.66/4.68  cnf(cls_le__square_0, axiom, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__square_0)).
% 3.66/4.68  cnf(cls_dvd__eq__mod__eq__0_1, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__eq__mod__eq__0_1)).
% 3.66/4.68  cnf(cls_dvd__imp__mod__0_0, axiom, (c_Divides_Odiv__class_Omod(X2,X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__imp__mod__0_0)).
% 3.66/4.68  cnf(cls_linorder__antisym__conv2_0, axiom, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__antisym__conv2_0)).
% 3.66/4.68  cnf(cls_linorder__antisym__conv1_0, axiom, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__antisym__conv1_0)).
% 3.66/4.68  cnf(cls_xt1_I11_J_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X3=X2|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_xt1_I11_J_0)).
% 3.66/4.68  cnf(cls_xt1_I12_J_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X3=X2|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_xt1_I12_J_0)).
% 3.66/4.68  cnf(cls_order__neq__le__trans_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__neq__le__trans_0)).
% 3.66/4.68  cnf(cls_order__le__neq__trans_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__le__neq__trans_0)).
% 3.66/4.68  cnf(cls_order__le__less_0, axiom, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__le__less_0)).
% 3.66/4.68  cnf(cls_order__less__le_2, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__less__le_2)).
% 3.66/4.68  cnf(cls_class__fieldgb_Odivide__inverse_0, axiom, (c_HOL_Oinverse__class_Odivide(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Int_Onumber__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__fieldgb_Odivide__inverse_0)).
% 3.66/4.68  cnf(cls_abs__le__zero__iff_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__le__zero__iff_0)).
% 3.66/4.68  cnf(cls_order__less__imp__le_0, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__less__imp__le_0)).
% 3.66/4.68  cnf(cls_order__le__less_1, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__le__less_1)).
% 3.66/4.68  cnf(cls_degree__smult__eq_1, axiom, (c_Polynomial_Odegree(c_Polynomial_Osmult(X2,X3,X1),X1)=c_Polynomial_Odegree(X3,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_degree__smult__eq_1)).
% 3.66/4.68  cnf(cls_abs__minus__le__zero_0, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__minus__le__zero_0)).
% 3.66/4.68  cnf(cls_abs__not__less__zero_0, axiom, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__not__less__zero_0)).
% 3.66/4.68  cnf(cls_degree__smult__eq_0, axiom, (c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_degree__smult__eq_0)).
% 3.66/4.68  cnf(cls_diff__minus__eq__add_0, axiom, (c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Oplus__class_Oplus(X2,X3,X1)|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__minus__eq__add_0)).
% 3.66/4.68  cnf(cls_divide__inverse_0, axiom, (c_HOL_Oinverse__class_Odivide(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_divide__inverse_0)).
% 3.66/4.68  cnf(cls_ab__diff__minus_0, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_ab__diff__minus_0)).
% 3.66/4.68  cnf(cls_diff__def_0, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__def_0)).
% 3.66/4.68  cnf(cls_diff__minus_0, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__minus_0)).
% 3.66/4.68  cnf(cls_class__ring_Osub__add_0, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_Int_Onumber__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__ring_Osub__add_0)).
% 3.66/4.68  cnf(cls_nat__less__le_2, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|X1=X2|~c_lessequals(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__less__le_2)).
% 3.66/4.68  cnf(cls_le__eq__less__or__eq_0, axiom, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__eq__less__or__eq_0)).
% 3.66/4.68  cnf(cls_le__neq__implies__less_0, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|X1=X2|~c_lessequals(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__neq__implies__less_0)).
% 3.66/4.68  cnf(cls_pq0_0, axiom, (c_Polynomial_Opoly(v_qa____,X1,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_pa____,X1,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_pq0_0)).
% 3.66/4.68  cnf(cls_abs__if__lattice_0, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Orderings_Olinorder(X1)|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__if__lattice_0)).
% 3.66/4.68  cnf(cls_termination__basic__simps_I5_J_0, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_termination__basic__simps_I5_J_0)).
% 3.66/4.68  cnf(cls_nat__less__le_0, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__less__le_0)).
% 3.66/4.68  cnf(cls_abs__if_0, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Ring__and__Field_Oabs__if(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__if_0)).
% 3.66/4.68  cnf(cls_abs__of__nonpos_0, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__of__nonpos_0)).
% 3.66/4.68  cnf(cls_abs__of__neg_0, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__of__neg_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__eq__0__iff_0, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|c_Polynomial_Osmult(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__eq__0__iff_0)).
% 3.66/4.68  cnf(cls_CHAINED_2, axiom, (c_Polynomial_Opoly(X2,X3,X1)=c_HOL_Ozero__class_Ozero(X1)|c_Polynomial_Oorder(X3,X2,X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_2)).
% 3.66/4.68  cnf(cls_poly__gcd__zero__iff_0, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|c_Polynomial_Opoly__gcd(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__zero__iff_0)).
% 3.66/4.68  cnf(cls_poly__gcd__zero__iff_1, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|c_Polynomial_Opoly__gcd(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__zero__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__of__nonneg_0, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__of__nonneg_0)).
% 3.66/4.68  cnf(cls_abs__of__pos_0, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__of__pos_0)).
% 3.66/4.68  cnf(cls_linorder__linear_0, axiom, (c_lessequals(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__linear_0)).
% 3.66/4.68  cnf(cls_linorder__antisym__conv1_1, axiom, (c_HOL_Oord__class_Oless(X2,X2,X1)|c_lessequals(X2,X2,X1)|~class_Orderings_Olinorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__antisym__conv1_1)).
% 3.66/4.68  cnf(cls_linorder__not__le_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__not__le_0)).
% 3.66/4.68  cnf(cls_not__leE_0, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__leE_0)).
% 3.66/4.68  cnf(cls_linorder__not__less_0, axiom, (c_lessequals(X2,X3,X1)|c_HOL_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Olinorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_linorder__not__less_0)).
% 3.66/4.68  cnf(cls_poly__gcd__commute_0, axiom, (c_Polynomial_Opoly__gcd(X2,X3,X1)=c_Polynomial_Opoly__gcd(X3,X2,X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__commute_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_inverse__unique_0, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=X3|~class_Ring__and__Field_Odivision__ring(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Oone__class_Oone(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__unique_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__ge__minus__self_0, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__ge__minus__self_0)).
% 3.66/4.68  cnf(cls_not__one__le__zero_0, axiom, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_not__one__le__zero_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__cancel1_1, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__cancel1_1)).
% 3.66/4.68  cnf(cls_mult__cancel2_1, axiom, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__cancel2_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_class__ringb_Osubr0__iff_0, axiom, (X2=X3|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Osubr0__iff_0)).
% 3.66/4.68  cnf(cls_poly__gcd__0__0_0, axiom, (c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__gcd__0__0_0)).
% 3.66/4.68  cnf(cls_dvd__0__left_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__0__left_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_nat__le__linear_0, axiom, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__le__linear_0)).
% 3.66/4.68  cnf(cls_dvd__if__abs__eq_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|c_HOL_Oabs__class_Oabs(X2,X1)!=c_HOL_Oabs__class_Oabs(X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__if__abs__eq_0)).
% 3.66/4.68  cnf(cls_abs__le__zero__iff_1, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__le__zero__iff_1)).
% 3.66/4.68  cnf(cls_nat__mult__commute_0, axiom, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__commute_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_eq__iff__diff__eq__0_1, axiom, (X2=X3|~class_OrderedGroup_Oab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__iff__diff__eq__0_1)).
% 3.66/4.68  cnf(cls_right__minus__eq_0, axiom, (X2=X3|~class_OrderedGroup_Ogroup__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_right__minus__eq_0)).
% 3.66/4.68  cnf(cls_zero__less__abs__iff_1, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__less__abs__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_field__inverse_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),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_field__inverse_0)).
% 3.66/4.68  cnf(cls_left__inverse_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_left__inverse_0)).
% 3.66/4.68  cnf(cls_right__inverse_0, axiom, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_right__inverse_0)).
% 3.66/4.68  cnf(cls_mult__is__0_0, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__is__0_0)).
% 3.66/4.68  cnf(cls_abs__inverse_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__inverse_0)).
% 3.66/4.68  cnf(cls_inverse__minus__eq_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__minus__eq_0)).
% 3.66/4.68  cnf(cls_abs__ge__zero_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__ge__zero_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mult__eq__self__implies__10_0, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|X1!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__eq__self__implies__10_0)).
% 3.66/4.68  cnf(cls_nonzero__abs__inverse_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__abs__inverse_0)).
% 3.66/4.68  cnf(cls_nonzero__inverse__minus__eq_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__inverse__minus__eq_0)).
% 3.66/4.68  cnf(cls_le__0__eq_0, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__0__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_nat__mult__eq__1__iff_0, axiom, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__eq__1__iff_0)).
% 3.66/4.68  cnf(cls_nat__mult__eq__1__iff_1, axiom, (X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__eq__1__iff_1)).
% 3.66/4.68  cnf(cls_nat__1__eq__mult__iff_0, axiom, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__1__eq__mult__iff_0)).
% 3.66/4.68  cnf(cls_nat__1__eq__mult__iff_1, axiom, (X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__1__eq__mult__iff_1)).
% 3.66/4.68  cnf(cls_abs__if__lattice_1, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Orderings_Olinorder(X1)|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__if__lattice_1)).
% 3.66/4.68  cnf(cls_smult__0__right_0, axiom, (c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__0__right_0)).
% 3.66/4.68  cnf(cls_smult__eq__0__iff_2, axiom, (c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__eq__0__iff_2)).
% 3.66/4.68  cnf(cls_class__fieldgb_Oinverse__divide_0, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Int_Onumber__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__fieldgb_Oinverse__divide_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__ge__self_0, axiom, (c_lessequals(X2,c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__ge__self_0)).
% 3.66/4.68  cnf(cls_nonzero__inverse__eq__divide_0, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__inverse__eq__divide_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_poly__0_0, axiom, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_poly__0_0)).
% 3.66/4.68  cnf(cls_CHAINED_1, axiom, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_1)).
% 3.66/4.68  cnf(cls_order__root_1, axiom, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__root_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__if_1, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oabs__if(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__if_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_group__add__class_Odiff__0_0, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_group__add__class_Odiff__0_0)).
% 3.66/4.68  cnf(cls_inverse__eq__divide_0, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__eq__divide_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__0__left_0, axiom, (c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__0__left_0)).
% 3.66/4.68  cnf(cls_smult__eq__0__iff_1, axiom, (c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_smult__eq__0__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_zero__le__one_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_zero__le__one_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_class__ringb_Osubr0__iff_1, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__ringb_Osubr0__iff_1)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__0_0, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__0_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mod__0_0, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__0_0)).
% 3.66/4.68  cnf(cls_div__by__0_0, axiom, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__by__0_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mod__by__1_0, axiom, (c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__by__1_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__self_0, axiom, (c_Divides_Odiv__class_Odiv(X2,X2,X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__self_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_smult__1__left_0, axiom, (c_Polynomial_Osmult(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_smult__1__left_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_div__by__1_0, axiom, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Oone__class_Oone(X1),X1)=X2|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_div__by__1_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_mod__by__0_0, axiom, (c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__by__0_0)).
% 3.66/4.68  cnf(cls_diff__0__right_0, axiom, (c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__0__right_0)).
% 3.66/4.68  cnf(cls_one__dvd_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_one__dvd_0)).
% 3.66/4.68  cnf(cls_dvd__0__right_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__0__right_0)).
% 3.66/4.68  cnf(cls_power__one__right_0, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_OrderedGroup_Omonoid__mult(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_power__one__right_0)).
% 3.66/4.68  cnf(cls_class__semiring_Osemiring__rules_I33_J_0, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_class__semiring_Osemiring__rules_I33_J_0)).
% 3.66/4.68  cnf(cls_mod__self_0, axiom, (c_Divides_Odiv__class_Omod(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mod__self_0)).
% 3.66/4.68  cnf(cls_eq__iff__diff__eq__0_0, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__iff__diff__eq__0_0)).
% 3.66/4.68  cnf(cls_diff__self_0, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_diff__self_0)).
% 3.66/4.68  cnf(cls_right__minus__eq_1, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_right__minus__eq_1)).
% 3.66/4.68  cnf(cls_nonzero__inverse__eq__imp__eq_0, axiom, (X2=X3|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Oinverse__class_Oinverse(X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__inverse__eq__imp__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_dvd__refl_0, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dvd__refl_0)).
% 3.66/4.68  cnf(cls_order__eq__refl_0, axiom, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__eq__refl_0)).
% 3.66/4.68  cnf(cls_order__eq__iff_0, axiom, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_order__eq__iff_0)).
% 3.66/4.68  cnf(cls_nat__mult__eq__1__iff_2, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__eq__1__iff_2)).
% 3.66/4.68  cnf(cls_nat__1__eq__mult__iff_2, axiom, (c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__1__eq__mult__iff_2)).
% 3.66/4.68  cnf(cls_abs__idempotent_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1)=c_HOL_Oabs__class_Oabs(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__idempotent_0)).
% 3.66/4.68  cnf(cls_abs__minus__cancel_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Oabs__class_Oabs(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__minus__cancel_0)).
% 3.66/4.68  cnf(cls_inverse__eq__iff__eq_0, axiom, (X2=X3|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Oinverse__class_Oinverse(X3,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__eq__iff__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_le__0__eq_1, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__0__eq_1)).
% 3.66/4.68  cnf(cls_mult__is__0_1, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__is__0_1)).
% 3.66/4.68  cnf(cls_mult__is__0_2, axiom, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_mult__is__0_2)).
% 3.66/4.68  cnf(cls_nat__mult__1_0, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__1_0)).
% 3.66/4.68  cnf(cls_nat__mult__1__right_0, axiom, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nat__mult__1__right_0)).
% 3.66/4.68  cnf(cls_le0_0, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le0_0)).
% 3.66/4.68  cnf(cls_inverse__inverse__eq_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=X2|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__inverse__eq_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_nonzero__inverse__inverse__eq_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=X2|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_nonzero__inverse__inverse__eq_0)).
% 3.66/4.68  cnf(cls_le__refl_0, axiom, (c_lessequals(X1,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_le__refl_0)).
% 3.66/4.68  cnf(cls_eq__imp__le_0, axiom, (c_lessequals(X1,X1,tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_eq__imp__le_0)).
% 3.66/4.68  cnf(cls_CHAINED_0_02, axiom, (c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0_02)).
% 3.66/4.68  cnf(cls_inverse__eq__1__iff_0, axiom, (X2=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Oone__class_Oone(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__eq__1__iff_0)).
% 3.66/4.68  cnf(cls_inverse__nonzero__iff__nonzero_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__nonzero__iff__nonzero_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_degree__0_0, axiom, (c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~class_HOL_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_degree__0_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__eq__0_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|c_HOL_Oabs__class_Oabs(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__eq__0_0)).
% 3.66/4.68  cnf(cls_inverse__zero__imp__zero_0, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__zero__imp__zero_0)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_inverse__eq__1__iff_1, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__eq__1__iff_1)).
% 3.66/4.68  cnf(cls_inverse__nonzero__iff__nonzero_1, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__nonzero__iff__nonzero_1)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(cls_abs__one_0, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__one_0)).
% 3.66/4.68  cnf(cls_abs__eq__0_1, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_abs__eq__0_1)).
% 3.66/4.68  cnf(cls_inverse__1_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__1_0)).
% 3.66/4.68  cnf(cls_inverse__zero_0, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_inverse__zero_0)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  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)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add, axiom, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors, axiom, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1, axiom, (class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add, axiom, (class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict, axiom, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__HOL_Ozero, axiom, (class_HOL_Ozero(tc_Polynomial_Opoly(X1))|~class_HOL_Ozero(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__HOL_Ozero)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1, axiom, (class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring, axiom, (class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__Orderings_Opreorder, axiom, (class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Orderings_Opreorder)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult, axiom, (class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult)).
% 3.66/4.68  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring, axiom, (class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if, axiom, (class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add, axiom, (class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors, axiom, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0, axiom, (class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring, axiom, (class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add, axiom, (class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Divides_Oring__div, axiom, (class_Divides_Oring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Divides_Oring__div)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring, axiom, (class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs, axiom, (class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oring, axiom, (class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero, axiom, (class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Power_Opower, axiom, (class_Power_Opower(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Power_Opower)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring__0, axiom, (class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring__0)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom, axiom, (class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs, axiom, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add, axiom, (class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom, axiom, (class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1, axiom, (class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono, axiom, (class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Int_Onumber__ring, axiom, (class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Int_Onumber__ring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict, axiom, (class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring, axiom, (class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Orderings_Olinorder, axiom, (class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Orderings_Olinorder)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Orderings_Oorder, axiom, (class_Orderings_Oorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Orderings_Oorder)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring, axiom, (class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Odvd, axiom, (class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Odvd)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Divides_Osemiring__div, axiom, (class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Divides_Osemiring__div)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__Ring__and__Field_Oidom, axiom, (class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__Ring__and__Field_Oidom)).
% 3.66/4.69  cnf(clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add, axiom, (class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add)).
% 3.66/4.69  cnf(cls_CHAINED_0, axiom, (v_pa____!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_CHAINED_0)).
% 3.66/4.69  cnf(cls_pne_0, axiom, (v_pa____!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_pne_0)).
% 3.66/4.69  cnf(cls_dpn_0, axiom, (c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex)=v_na____), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_dpn_0)).
% 3.66/4.69  cnf(cls_n0_0, axiom, (v_na____!=c_HOL_Ozero__class_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cls_n0_0)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add, axiom, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add)).
% 3.66/4.69  cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add, axiom, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1, axiom, (class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__HOL_Ozero, axiom, (class_HOL_Ozero(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__HOL_Ozero)).
% 3.66/4.69  cnf(clsarity_nat__HOL_Ozero, axiom, (class_HOL_Ozero(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__HOL_Ozero)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_nat__Orderings_Opreorder, axiom, (class_Orderings_Opreorder(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Orderings_Opreorder)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field, axiom, (class_RealVector_Oreal__field(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__RealVector_Oreal__field)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Oordered__semiring, axiom, (class_Ring__and__Field_Oordered__semiring(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Oordered__semiring)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, axiom, (class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__0, axiom, (class_Ring__and__Field_Ocomm__semiring__0(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Ocomm__semiring__0)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Opordered__semiring, axiom, (class_Ring__and__Field_Opordered__semiring(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Opordered__semiring)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring, axiom, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Opordered__cancel__semiring)).
% 3.66/4.69  cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_nat__Power_Opower, axiom, (class_Power_Opower(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Power_Opower)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Omult__mono1, axiom, (class_Ring__and__Field_Omult__mono1(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Omult__mono1)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Omult__mono, axiom, (class_Ring__and__Field_Omult__mono(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Omult__mono)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring, axiom, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(clsarity_nat__Orderings_Olinorder, axiom, (class_Orderings_Olinorder(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Orderings_Olinorder)).
% 3.66/4.69  cnf(clsarity_nat__Orderings_Oorder, axiom, (class_Orderings_Oorder(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Orderings_Oorder)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring, axiom, (class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring)).
% 3.66/4.69  cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd, axiom, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_Complex__Ocomplex__Ring__and__Field_Odvd)).
% 3.66/4.69  cnf(clsarity_nat__Ring__and__Field_Odvd, axiom, (class_Ring__and__Field_Odvd(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Ring__and__Field_Odvd)).
% 3.66/4.69  cnf(clsarity_nat__Divides_Osemiring__div, axiom, (class_Divides_Osemiring__div(tc_nat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', clsarity_nat__Divides_Osemiring__div)).
% 3.66/4.69  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)).
% 3.66/4.69  cnf(i_0_1033, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_add__nonneg__eq__0__iff_2).
% 3.66/4.69  cnf(i_0_1034, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X4,X1),X5,X1),X1),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), cls_mult_Oprod__diff__prod_0, ['final']).
% 3.66/4.69  cnf(i_0_1035, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X4,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X5,X1),X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__diff__triangle__ineq_0, ['final']).
% 3.66/4.69  cnf(i_0_1036, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X6,X1)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X5,X1),X6,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X4,X1),X6,X1),X5,X1),X1)|~class_RealVector_Oreal__field(X1)), cls_DERIV__mult__lemma_0, ['final']).
% 3.66/4.69  cnf(i_0_1037, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1),X4,X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1)), cls_DERIV__inverse__lemma_0, ['final']).
% 3.66/4.69  cnf(i_0_1038, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1)), cls_le__add__iff1_1, ['final']).
% 3.66/4.69  cnf(i_0_1039, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1)), cls_less__add__iff1_1, ['final']).
% 3.66/4.69  cnf(i_0_1040, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1)), cls_le__add__iff2_1, ['final']).
% 3.66/4.69  cnf(i_0_1041, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1)), cls_less__add__iff2_1, ['final']).
% 3.66/4.69  cnf(i_0_1042, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1)), cls_le__add__iff1_0, ['final']).
% 3.66/4.69  cnf(i_0_1043, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1)), cls_less__add__iff1_0, ['final']).
% 3.66/4.69  cnf(i_0_1044, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1)), cls_le__add__iff2_0, ['final']).
% 3.66/4.69  cnf(i_0_1045, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1)), cls_less__add__iff2_0, ['final']).
% 3.66/4.69  cnf(i_0_1046, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Odvd(X1)|~class_Ring__and__Field_Ocomm__ring(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X5,X6,X1),X1),X4,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X6,X1)), cls_inf__period_I4_J_1, ['final']).
% 3.66/4.69  cnf(i_0_1047, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X6,X1),X1)|~class_Ring__and__Field_Odvd(X1)|~class_Ring__and__Field_Ocomm__ring(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X3,X6,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X5,X1)), cls_inf__period_I4_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1048, 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']).
% 3.66/4.69  cnf(i_0_1049, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1)|~class_Ring__and__Field_Oring(X1)), cls_eq__add__iff2_1, ['final']).
% 3.66/4.69  cnf(i_0_1050, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X1)|~class_Ring__and__Field_Oring(X1)), cls_eq__add__iff1_1, ['final']).
% 3.66/4.69  cnf(i_0_1051, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),c_Divides_Odiv__class_Omod(X2,X3,X1),X1),X4,X1)=c_HOL_Oplus__class_Oplus(X2,X4,X1)|~class_Divides_Osemiring__div(X1)), cls_div__mod__equality_0, ['final']).
% 3.66/4.69  cnf(i_0_1052, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1),c_Divides_Odiv__class_Omod(X3,X2,X1),X1),X4,X1)=c_HOL_Oplus__class_Oplus(X3,X4,X1)|~class_Divides_Osemiring__div(X1)), cls_div__mod__equality2_0, ['final']).
% 3.66/4.69  cnf(i_0_1053, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_Deriv_Oinverse__diff__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1054, 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']).
% 3.66/4.69  cnf(i_0_1055, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|X5=c_HOL_Ozero__class_Ozero(X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), cls_diff__frac__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1056, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_sum__squares__le__zero__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1057, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_sum__squares__le__zero__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1058, 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']).
% 3.66/4.69  cnf(i_0_1059, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1)=X6|~class_Ring__and__Field_Oring(X1)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1)), cls_eq__add__iff1_0, ['final']).
% 3.66/4.69  cnf(i_0_1060, axiom, (X4=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1)|~class_Ring__and__Field_Oring(X1)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1)), cls_eq__add__iff2_0, ['final']).
% 3.66/4.69  cnf(i_0_1061, 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']).
% 3.66/4.69  cnf(i_0_1062, 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']).
% 3.66/4.69  cnf(i_0_1063, 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']).
% 3.66/4.69  cnf(i_0_1064, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X4,X1),X2,X1)), cls_abs__diff__less__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1065, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_divide__le__eq_9, ['final']).
% 3.66/4.69  cnf(i_0_1066, 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']).
% 3.66/4.69  cnf(i_0_1067, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_divide__le__eq_8, ['final']).
% 3.66/4.69  cnf(i_0_1068, 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']).
% 3.66/4.69  cnf(i_0_1069, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), cls_le__divide__eq_9, ['final']).
% 3.66/4.69  cnf(i_0_1070, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), cls_le__divide__eq_8, ['final']).
% 3.66/4.69  cnf(i_0_1071, 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']).
% 3.66/4.69  cnf(i_0_1072, 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']).
% 3.66/4.69  cnf(i_0_1073, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1074, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__add__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1075, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Oring__div(X1)), cls_mod__diff__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1076, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__triangle__ineq3_0, ['final']).
% 3.66/4.69  cnf(i_0_1077, 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']).
% 3.66/4.69  cnf(i_0_1078, 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']).
% 3.66/4.69  cnf(i_0_1079, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,X4,X1)), cls_divide__left__mono__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1080, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X4,X3,X1)), cls_divide__left__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1081, 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']).
% 3.66/4.69  cnf(i_0_1082, 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']).
% 3.66/4.69  cnf(i_0_1083, axiom, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_Divides_Odiv__class_Odiv(X4,X5,X1),X1)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X5,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_div__mult__div__if__dvd_0, ['final']).
% 3.66/4.69  cnf(i_0_1084, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)), cls_sum__squares__le__zero__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1085, 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']).
% 3.66/4.69  cnf(i_0_1086, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X6,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)), cls_mod__mult__cong_0, ['final']).
% 3.66/4.69  cnf(i_0_1087, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)), cls_mod__add__cong_0, ['final']).
% 3.66/4.69  cnf(i_0_1088, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)|~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)|c_Divides_Odiv__class_Omod(X5,X3,X1)!=c_Divides_Odiv__class_Omod(X6,X3,X1)), cls_mod__diff__cong_0, ['final']).
% 3.66/4.69  cnf(i_0_1089, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X4,X1),c_Divides_Odiv__class_Odiv(X3,X4,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X1)), cls_div__dvd__div_0, ['final']).
% 3.66/4.69  cnf(i_0_1090, 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']).
% 3.66/4.69  cnf(i_0_1091, 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']).
% 3.66/4.69  cnf(i_0_1092, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X5,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_frac__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1093, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)), cls_mult__mono_H_0, ['final']).
% 3.66/4.69  cnf(i_0_1094, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)), cls_mult__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1095, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X5,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_frac__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1096, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X5,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_frac__less2_0, ['final']).
% 3.66/4.69  cnf(i_0_1097, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), cls_mult__less__le__imp__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1098, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_lessequals(X2,X4,X1)), cls_mult__le__less__imp__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1099, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), cls_mult__strict__mono_H_0, ['final']).
% 3.66/4.69  cnf(i_0_1100, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), cls_mult__strict__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1101, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X1),X5,X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X4,X1)), cls_abs__mult__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1102, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X2,X1),X1),X3,X1)), cls_abs__diff__less__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1103, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X4,X1)), cls_abs__diff__less__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1104, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X4,X1),c_Divides_Odiv__class_Odiv(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X2,X1)), cls_div__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1105, 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']).
% 3.66/4.69  cnf(i_0_1106, 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']).
% 3.66/4.69  cnf(i_0_1107, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)), cls_sum__squares__ge__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1108, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)), cls_divide__le__eq_5, ['final']).
% 3.66/4.69  cnf(i_0_1109, 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']).
% 3.66/4.69  cnf(i_0_1110, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)), cls_divide__le__eq_4, ['final']).
% 3.66/4.69  cnf(i_0_1111, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)), cls_divide__le__eq_1, ['final']).
% 3.66/4.69  cnf(i_0_1112, 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']).
% 3.66/4.69  cnf(i_0_1113, 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']).
% 3.66/4.69  cnf(i_0_1114, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)), cls_le__divide__eq_5, ['final']).
% 3.66/4.69  cnf(i_0_1115, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)), cls_le__divide__eq_4, ['final']).
% 3.66/4.69  cnf(i_0_1116, axiom, (c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)), cls_le__divide__eq_1, ['final']).
% 3.66/4.69  cnf(i_0_1117, 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']).
% 3.66/4.69  cnf(i_0_1118, 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']).
% 3.66/4.69  cnf(i_0_1119, 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']).
% 3.66/4.69  cnf(i_0_1120, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_divide__le__eq_7, ['final']).
% 3.66/4.69  cnf(i_0_1121, 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']).
% 3.66/4.69  cnf(i_0_1122, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), cls_le__divide__eq_7, ['final']).
% 3.66/4.69  cnf(i_0_1123, 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']).
% 3.66/4.69  cnf(i_0_1124, 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']).
% 3.66/4.69  cnf(i_0_1125, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), cls_mult__right__le__imp__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1126, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_mult__left__le__imp__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1127, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)), cls_mult__le__cancel__left__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1128, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), cls_mult__right__less__imp__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1129, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_mult__left__less__imp__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1130, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)), cls_power__less__imp__less__base_0, ['final']).
% 3.66/4.69  cnf(i_0_1131, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), cls_mult__less__imp__less__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1132, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__semiring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_mult__less__imp__less__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1133, 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']).
% 3.66/4.69  cnf(i_0_1134, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)|~c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__cancel__left__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1135, 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']).
% 3.66/4.69  cnf(i_0_1136, axiom, (c_lessequals(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(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__increasing__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1137, axiom, (c_lessequals(X2,X3,tc_nat)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(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__le__imp__le__exp_0, ['final']).
% 3.66/4.69  cnf(i_0_1138, 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']).
% 3.66/4.69  cnf(i_0_1139, 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']).
% 3.66/4.69  cnf(i_0_1140, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), cls_inverse__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1141, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_division__ring__inverse__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1142, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ominus__class_Ominus(X3,X2,X1),X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_division__ring__inverse__diff_0, ['final']).
% 3.66/4.69  cnf(i_0_1143, 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']).
% 3.66/4.69  cnf(i_0_1144, 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']).
% 3.66/4.69  cnf(i_0_1145, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)), cls_mult__le__cancel2_0, ['final']).
% 3.66/4.69  cnf(i_0_1146, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)), cls_mult__le__cancel1_0, ['final']).
% 3.66/4.69  cnf(i_0_1147, axiom, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), cls_nat__mult__le__cancel1_0, ['final']).
% 3.66/4.69  cnf(i_0_1148, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), cls_nat__mult__less__cancel1_0, ['final']).
% 3.66/4.69  cnf(i_0_1149, axiom, (c_lessequals(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_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X4,X3,tc_nat)), cls_power__decreasing_0, ['final']).
% 3.66/4.69  cnf(i_0_1150, 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']).
% 3.66/4.69  cnf(i_0_1151, 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']).
% 3.66/4.69  cnf(i_0_1152, 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']).
% 3.66/4.69  cnf(i_0_1153, 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']).
% 3.66/4.69  cnf(i_0_1154, 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']).
% 3.66/4.69  cnf(i_0_1155, 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']).
% 3.66/4.69  cnf(i_0_1156, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X3,X1)=c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X2,X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__self2_0, ['final']).
% 3.66/4.69  cnf(i_0_1157, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X4,X1)=c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Odiv(X2,X4,X1),X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__self1_0, ['final']).
% 3.66/4.69  cnf(i_0_1158, axiom, (c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,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_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), cls_power__strict__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1159, 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']).
% 3.66/4.69  cnf(i_0_1160, 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']).
% 3.66/4.69  cnf(i_0_1161, 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']).
% 3.66/4.69  cnf(i_0_1162, 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']).
% 3.66/4.69  cnf(i_0_1163, 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']).
% 3.66/4.69  cnf(i_0_1164, 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']).
% 3.66/4.69  cnf(i_0_1165, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X5,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), cls_Deriv_Oadd__diff__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1166, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)), cls_zmod__simps_I4_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1167, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)), cls_zmod__simps_I1_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1168, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_zmod__simps_I2_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1169, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__left__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1170, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__add__left__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1171, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)|~class_Divides_Oring__div(X1)), cls_mod__diff__left__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1172, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__right__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1173, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__add__right__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1174, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)|~class_Divides_Oring__div(X1)), cls_mod__diff__right__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1175, 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']).
% 3.66/4.69  cnf(i_0_1176, 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']).
% 3.66/4.69  cnf(i_0_1177, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_Divides_Odiv__class_Odiv(X4,X3,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_div__dvd__div_1, ['final']).
% 3.66/4.69  cnf(i_0_1178, 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']).
% 3.66/4.69  cnf(i_0_1179, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_divide__le__eq_6, ['final']).
% 3.66/4.69  cnf(i_0_1180, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)), cls_le__divide__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1181, 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']).
% 3.66/4.69  cnf(i_0_1182, 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']).
% 3.66/4.69  cnf(i_0_1183, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), cls_le__divide__eq_6, ['final']).
% 3.66/4.69  cnf(i_0_1184, axiom, (c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1)), cls_divide__le__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1185, 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']).
% 3.66/4.69  cnf(i_0_1186, 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']).
% 3.66/4.69  cnf(i_0_1187, axiom, (c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X1),c_Power_Opower__class_Opower(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_div__power_0, ['final']).
% 3.66/4.69  cnf(i_0_1188, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_mult__imp__div__pos__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1189, 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']).
% 3.66/4.69  cnf(i_0_1190, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)), cls_mult__imp__le__div__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1191, 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']).
% 3.66/4.69  cnf(i_0_1192, axiom, (c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__triangle__ineq2_0, ['final']).
% 3.66/4.69  cnf(i_0_1193, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)|~class_Ring__and__Field_Olordered__ring(X1)), cls_abs__le__mult_0, ['final']).
% 3.66/4.69  cnf(i_0_1194, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__triangle__ineq_0, ['final']).
% 3.66/4.69  cnf(i_0_1195, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__triangle__ineq4_0, ['final']).
% 3.66/4.69  cnf(i_0_1196, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X5,X4,X1)|~c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)), cls_le__add__right__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1197, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_lessequals(X3,X5,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X5,X1),X4,X1)), cls_power__le__dvd_0, ['final']).
% 3.66/4.69  cnf(i_0_1198, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),c_Divides_Odiv__class_Omod(X2,X3,X1),X1)=X2|~class_Divides_Osemiring__div(X1)), cls_mod__div__equality_0, ['final']).
% 3.66/4.69  cnf(i_0_1199, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1),c_Divides_Odiv__class_Omod(X3,X2,X1),X1)=X3|~class_Divides_Osemiring__div(X1)), cls_mod__div__equality2_0, ['final']).
% 3.66/4.69  cnf(i_0_1200, axiom, (c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),X1)=X2|~class_Divides_Osemiring__div(X1)), cls_semiring__div__class_Omod__div__equality_H_0, ['final']).
% 3.66/4.69  cnf(i_0_1201, axiom, (X2=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1),c_Divides_Odiv__class_Omod(X2,X3,X1),X1)|~class_Divides_Osemiring__div(X1)), cls_mod__div__decomp_0, ['final']).
% 3.66/4.69  cnf(i_0_1202, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)), cls_dvd__mult__cancel__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1203, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)), cls_dvd__mult__cancel__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1204, 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']).
% 3.66/4.69  cnf(i_0_1205, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)), cls_add__le__cancel__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1206, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)), cls_add__le__cancel__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1207, 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']).
% 3.66/4.69  cnf(i_0_1208, 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']).
% 3.66/4.69  cnf(i_0_1209, axiom, (c_lessequals(c_Polynomial_Odegree(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X1),c_HOL_Otimes__class_Otimes(c_Polynomial_Odegree(X2,X1),X3,tc_nat),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_degree__power__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1210, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X1,c_Polynomial_Odegree(X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(X2,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(X1,v_sko__local__XIH__1(X2,X1),tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|~c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X2,tc_Complex_Ocomplex),v_na____,tc_nat)), cls_IH_1, ['final']).
% 3.66/4.69  cnf(i_0_1211, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oabs__class_Oabs(X4,X1),X1),X1)|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)), cls_estimate__by__abs_0, ['final']).
% 3.66/4.69  cnf(i_0_1212, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)), cls_mult__less__cancel1_0, ['final']).
% 3.66/4.69  cnf(i_0_1213, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)), cls_mult__less__cancel2_0, ['final']).
% 3.66/4.69  cnf(i_0_1214, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1)), cls_divide__right__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1215, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X2,X1)), cls_divide__right__mono__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1216, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)), cls_mult__less__cancel2_1, ['final']).
% 3.66/4.69  cnf(i_0_1217, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)), cls_mult__less__cancel1_1, ['final']).
% 3.66/4.69  cnf(i_0_1218, axiom, (X2=X4|~class_Ring__and__Field_Oordered__semidom(X1)|c_Power_Opower__class_Opower(X2,X3,X1)!=c_Power_Opower__class_Opower(X4,X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_power__eq__imp__eq__base_0, ['final']).
% 3.66/4.69  cnf(i_0_1219, axiom, (c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X2,X4,X1)), cls_power__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1220, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono1(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X4,X1)), cls_mult__mono1_0, ['final']).
% 3.66/4.69  cnf(i_0_1221, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,X4,X1)), cls_mult__left__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1222, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_mult__le__cancel__left__pos_1, ['final']).
% 3.66/4.69  cnf(i_0_1223, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,X4,X1)), cls_mult__right__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1224, 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']).
% 3.66/4.69  cnf(i_0_1225, 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']).
% 3.66/4.69  cnf(i_0_1226, 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']).
% 3.66/4.69  cnf(i_0_1227, 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']).
% 3.66/4.69  cnf(i_0_1228, 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']).
% 3.66/4.69  cnf(i_0_1229, 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']).
% 3.66/4.69  cnf(i_0_1230, 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']).
% 3.66/4.69  cnf(i_0_1231, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__cancel__left__neg_1, ['final']).
% 3.66/4.69  cnf(i_0_1232, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X3,X1)), cls_mult__left__mono__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1233, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X4,X2,X1)), cls_mult__right__mono__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1234, 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']).
% 3.66/4.69  cnf(i_0_1235, 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']).
% 3.66/4.69  cnf(i_0_1236, 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']).
% 3.66/4.69  cnf(i_0_1237, 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']).
% 3.66/4.69  cnf(i_0_1238, 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']).
% 3.66/4.69  cnf(i_0_1239, 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']).
% 3.66/4.69  cnf(i_0_1240, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_mult__right__le__one__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1241, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_mult__left__le__one__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1242, axiom, (c_lessequals(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_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|~c_lessequals(X3,X4,tc_nat)), cls_power__increasing_0, ['final']).
% 3.66/4.69  cnf(i_0_1243, axiom, (c_lessequals(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_lessequals(X3,X4,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_power__increasing__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1244, 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']).
% 3.66/4.69  cnf(i_0_1245, 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']).
% 3.66/4.69  cnf(i_0_1246, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)), cls_divide__le__eq_2, ['final']).
% 3.66/4.69  cnf(i_0_1247, 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']).
% 3.66/4.69  cnf(i_0_1248, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)), cls_le__divide__eq_2, ['final']).
% 3.66/4.69  cnf(i_0_1249, 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']).
% 3.66/4.69  cnf(i_0_1250, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X5,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_mult__dvd__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1251, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_lessequals(X2,X4,X1)), cls_add__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1252, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_lessequals(X3,X5,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), cls_add__less__le__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1253, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|~c_HOL_Oord__class_Oless(X3,X5,X1)|~c_lessequals(X2,X4,X1)), cls_add__le__less__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1254, 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']).
% 3.66/4.69  cnf(i_0_1255, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X5,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_lessequals(X3,X5,tc_nat)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__power__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1256, 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']).
% 3.66/4.69  cnf(i_0_1257, 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']).
% 3.66/4.69  cnf(i_0_1258, 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']).
% 3.66/4.69  cnf(i_0_1259, 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']).
% 3.66/4.69  cnf(i_0_1260, 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']).
% 3.66/4.69  cnf(i_0_1261, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__mult2_0, ['final']).
% 3.66/4.69  cnf(i_0_1262, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)=c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__mult1_0, ['final']).
% 3.66/4.69  cnf(i_0_1263, 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']).
% 3.66/4.69  cnf(i_0_1264, 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']).
% 3.66/4.69  cnf(i_0_1265, 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']).
% 3.66/4.69  cnf(i_0_1266, 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']).
% 3.66/4.69  cnf(i_0_1267, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_RealVector_Oreal__normed__field(X1)), cls_divide_Odiff_0, ['final']).
% 3.66/4.69  cnf(i_0_1268, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)), cls_diff__divide__distrib_0, ['final']).
% 3.66/4.69  cnf(i_0_1269, 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']).
% 3.66/4.69  cnf(i_0_1270, 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']).
% 3.66/4.69  cnf(i_0_1271, 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']).
% 3.66/4.69  cnf(i_0_1272, 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']).
% 3.66/4.69  cnf(i_0_1273, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), cls_mult__left_Odiff_0, ['final']).
% 3.66/4.69  cnf(i_0_1274, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), cls_mult_Odiff__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1275, 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']).
% 3.66/4.69  cnf(i_0_1276, 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']).
% 3.66/4.69  cnf(i_0_1277, 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']).
% 3.66/4.69  cnf(i_0_1278, axiom, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), cls_mult_Odiff__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1279, axiom, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_RealVector_Oreal__normed__algebra(X1)), cls_mult__right_Odiff_0, ['final']).
% 3.66/4.69  cnf(i_0_1280, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__self2_0, ['final']).
% 3.66/4.69  cnf(i_0_1281, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X4,X1)=c_Divides_Odiv__class_Omod(X2,X4,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__self1_0, ['final']).
% 3.66/4.69  cnf(i_0_1282, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_nat__mult__le__cancel1_1, ['final']).
% 3.66/4.69  cnf(i_0_1283, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_mult__less__cancel1_2, ['final']).
% 3.66/4.69  cnf(i_0_1284, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)), cls_mult__less__mono2_0, ['final']).
% 3.66/4.69  cnf(i_0_1285, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X2,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_nat__mult__less__cancel1_1, ['final']).
% 3.66/4.69  cnf(i_0_1286, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), cls_mult__less__cancel2_2, ['final']).
% 3.66/4.69  cnf(i_0_1287, axiom, (c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X3,tc_nat)), cls_mult__less__mono1_0, ['final']).
% 3.66/4.69  cnf(i_0_1288, 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']).
% 3.66/4.69  cnf(i_0_1289, axiom, (c_Polynomial_Opoly(X1,v_sko__local__XIH__1(X1,X2),tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X2,c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Odegree(X1,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(c_Polynomial_Odegree(X1,tc_Complex_Ocomplex),v_na____,tc_nat)), cls_IH_0, ['final']).
% 3.66/4.69  cnf(i_0_1290, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)|~c_lessequals(X2,X4,tc_nat)|~c_lessequals(X1,X3,tc_nat)), cls_mult__le__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1291, 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']).
% 3.66/4.69  cnf(i_0_1292, 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']).
% 3.66/4.69  cnf(i_0_1293, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_abs__eq__mult_0, ['final']).
% 3.66/4.69  cnf(i_0_1294, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__eq__mult_2, ['final']).
% 3.66/4.69  cnf(i_0_1295, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_abs__eq__mult_1, ['final']).
% 3.66/4.69  cnf(i_0_1296, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Opordered__ring__abs(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__eq__mult_3, ['final']).
% 3.66/4.69  cnf(i_0_1297, axiom, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_dvd__div__mult_0, ['final']).
% 3.66/4.69  cnf(i_0_1298, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__mod__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1299, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)), cls_dvd__mod__imp__dvd_0, ['final']).
% 3.66/4.69  cnf(i_0_1300, 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']).
% 3.66/4.69  cnf(i_0_1301, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1302, 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']).
% 3.66/4.69  cnf(i_0_1303, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1304, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__iff_3, ['final']).
% 3.66/4.69  cnf(i_0_1305, 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']).
% 3.66/4.69  cnf(i_0_1306, 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']).
% 3.66/4.69  cnf(i_0_1307, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)), cls_zero__le__divide__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1308, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)), cls_zero__le__divide__iff_3, ['final']).
% 3.66/4.69  cnf(i_0_1309, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)), cls_zero__le__divide__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1310, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)), cls_zero__le__divide__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1311, 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']).
% 3.66/4.69  cnf(i_0_1312, 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']).
% 3.66/4.69  cnf(i_0_1313, 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']).
% 3.66/4.69  cnf(i_0_1314, 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']).
% 3.66/4.69  cnf(i_0_1315, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1316, 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']).
% 3.66/4.69  cnf(i_0_1317, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)), cls_divide__le__eq_3, ['final']).
% 3.66/4.69  cnf(i_0_1318, 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']).
% 3.66/4.69  cnf(i_0_1319, axiom, (c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)|c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_le__divide__eq_3, ['final']).
% 3.66/4.69  cnf(i_0_1320, 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']).
% 3.66/4.69  cnf(i_0_1321, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__0__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1322, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__0__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1323, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__0__iff_3, ['final']).
% 3.66/4.69  cnf(i_0_1324, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)), cls_zero__le__mult__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1325, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)), cls_zero__le__mult__iff_3, ['final']).
% 3.66/4.69  cnf(i_0_1326, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)), cls_zero__le__mult__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1327, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)), cls_zero__le__mult__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1328, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__0__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1329, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X2,X3,X1),X1),X3,X1)|~class_Divides_Oring__div(X1)), cls_mod__minus__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1330, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__iff_5, ['final']).
% 3.66/4.69  cnf(i_0_1331, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_divide__le__0__iff_4, ['final']).
% 3.66/4.69  cnf(i_0_1332, 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']).
% 3.66/4.69  cnf(i_0_1333, 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']).
% 3.66/4.69  cnf(i_0_1334, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__le__divide__iff_4, ['final']).
% 3.66/4.69  cnf(i_0_1335, 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']).
% 3.66/4.69  cnf(i_0_1336, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_zero__le__divide__iff_5, ['final']).
% 3.66/4.69  cnf(i_0_1337, 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']).
% 3.66/4.69  cnf(i_0_1338, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__nonpos__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1339, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_divide__nonneg__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1340, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_mult__nonneg__nonpos2_0, ['final']).
% 3.66/4.69  cnf(i_0_1341, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__nonpos__nonneg_0, ['final']).
% 3.66/4.69  cnf(i_0_1342, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_split__mult__neg__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1343, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_mult__nonneg__nonpos_0, ['final']).
% 3.66/4.69  cnf(i_0_1344, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_split__mult__neg__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1345, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__le__0__iff_5, ['final']).
% 3.66/4.69  cnf(i_0_1346, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_mult__le__0__iff_4, ['final']).
% 3.66/4.69  cnf(i_0_1347, 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']).
% 3.66/4.69  cnf(i_0_1348, 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']).
% 3.66/4.69  cnf(i_0_1349, 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']).
% 3.66/4.69  cnf(i_0_1350, 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']).
% 3.66/4.69  cnf(i_0_1351, 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']).
% 3.66/4.69  cnf(i_0_1352, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_add__nonpos__nonpos_0, ['final']).
% 3.66/4.69  cnf(i_0_1353, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_add__neg__nonpos_0, ['final']).
% 3.66/4.69  cnf(i_0_1354, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_add__nonpos__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1355, 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']).
% 3.66/4.69  cnf(i_0_1356, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_divide__nonneg__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1357, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_mult__nonneg__nonneg_0, ['final']).
% 3.66/4.69  cnf(i_0_1358, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__le__mult__iff_4, ['final']).
% 3.66/4.69  cnf(i_0_1359, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_split__mult__pos__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1360, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_add__nonneg__nonneg_0, ['final']).
% 3.66/4.69  cnf(i_0_1361, 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']).
% 3.66/4.69  cnf(i_0_1362, 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']).
% 3.66/4.69  cnf(i_0_1363, 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']).
% 3.66/4.69  cnf(i_0_1364, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_add__pos__nonneg_0, ['final']).
% 3.66/4.69  cnf(i_0_1365, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_add__nonneg__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1366, 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']).
% 3.66/4.69  cnf(i_0_1367, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__nonpos__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1368, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_zero__le__mult__iff_5, ['final']).
% 3.66/4.69  cnf(i_0_1369, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_mult__nonpos__nonpos_0, ['final']).
% 3.66/4.69  cnf(i_0_1370, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Opordered__ring(X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_split__mult__pos__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1371, 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']).
% 3.66/4.69  cnf(i_0_1372, 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']).
% 3.66/4.69  cnf(i_0_1373, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))), cls_dvd__poly__gcd__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1374, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))), cls_poly__gcd__greatest_0, ['final']).
% 3.66/4.69  cnf(i_0_1375, axiom, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat)), cls_le__cube_0, ['final']).
% 3.66/4.69  cnf(i_0_1376, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__power__same_0, ['final']).
% 3.66/4.69  cnf(i_0_1377, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)), cls_dvd__mult__cancel__left_2, ['final']).
% 3.66/4.69  cnf(i_0_1378, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__mult__cancel__right_2, ['final']).
% 3.66/4.69  cnf(i_0_1379, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X3,X4,X1)), cls_add__left__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1380, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X3,X4,X1)), cls_add__le__cancel__left_1, ['final']).
% 3.66/4.69  cnf(i_0_1381, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|~c_lessequals(X2,X4,X1)), cls_add__right__mono_0, ['final']).
% 3.66/4.69  cnf(i_0_1382, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~c_lessequals(X2,X4,X1)), cls_add__le__cancel__right_1, ['final']).
% 3.66/4.69  cnf(i_0_1383, 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']).
% 3.66/4.69  cnf(i_0_1384, 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']).
% 3.66/4.69  cnf(i_0_1385, 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']).
% 3.66/4.69  cnf(i_0_1386, 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']).
% 3.66/4.69  cnf(i_0_1387, 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']).
% 3.66/4.69  cnf(i_0_1388, 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']).
% 3.66/4.69  cnf(i_0_1389, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_lessequals(X3,X4,tc_nat)), cls_le__imp__power__dvd_0, ['final']).
% 3.66/4.69  cnf(i_0_1390, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)), cls_add__increasing2_0, ['final']).
% 3.66/4.69  cnf(i_0_1391, axiom, (c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_add__increasing_0, ['final']).
% 3.66/4.69  cnf(i_0_1392, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_add__strict__increasing_0, ['final']).
% 3.66/4.69  cnf(i_0_1393, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_add__strict__increasing2_0, ['final']).
% 3.66/4.69  cnf(i_0_1394, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)), cls_zero__le__divide__1__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1395, 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']).
% 3.66/4.69  cnf(i_0_1396, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__1__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1397, 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']).
% 3.66/4.69  cnf(i_0_1398, 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']).
% 3.66/4.69  cnf(i_0_1399, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_le__eq__neg_1, ['final']).
% 3.66/4.69  cnf(i_0_1400, 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']).
% 3.66/4.69  cnf(i_0_1401, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat)), cls_mult__le__cancel1_2, ['final']).
% 3.66/4.69  cnf(i_0_1402, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|~c_lessequals(X2,X3,tc_nat)), cls_mult__le__mono2_0, ['final']).
% 3.66/4.69  cnf(i_0_1403, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat)), cls_mult__le__cancel2_2, ['final']).
% 3.66/4.69  cnf(i_0_1404, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|~c_lessequals(X1,X3,tc_nat)), cls_mult__le__mono1_0, ['final']).
% 3.66/4.69  cnf(i_0_1405, 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']).
% 3.66/4.69  cnf(i_0_1406, 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']).
% 3.66/4.69  cnf(i_0_1407, axiom, (c_Polynomial_Opoly(c_Power_Opower__class_Opower(X2,X3,tc_Polynomial_Opoly(X1)),X4,X1)=c_Power_Opower__class_Opower(c_Polynomial_Opoly(X2,X4,X1),X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_poly__power_0, ['final']).
% 3.66/4.69  cnf(i_0_1408, 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']).
% 3.66/4.69  cnf(i_0_1409, 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']).
% 3.66/4.69  cnf(i_0_1410, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1411, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__mod_0, ['final']).
% 3.66/4.69  cnf(i_0_1412, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__mod__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1413, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__diff_0, ['final']).
% 3.66/4.69  cnf(i_0_1414, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X2,X1),c_HOL_Oone__class_Oone(X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__add__self1_0, ['final']).
% 3.66/4.69  cnf(i_0_1415, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1)=c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X3,X1),c_HOL_Oone__class_Oone(X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__add__self2_0, ['final']).
% 3.66/4.69  cnf(i_0_1416, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X1),X3,X1)|~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_Divides_Odiv__class_Omod(X4,X3,X1)), cls_mod__minus__cong_0, ['final']).
% 3.66/4.69  cnf(i_0_1417, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1),X1)=c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__add__abs_0, ['final']).
% 3.66/4.69  cnf(i_0_1418, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_nat__0__less__mult__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1419, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_power__le__zero__eq_3, ['final']).
% 3.66/4.69  cnf(i_0_1420, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X2,X1),X3,tc_Polynomial_Opoly(X1))), cls_smult__dvd__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1421, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X4,X3,X1),tc_Polynomial_Opoly(X1))), cls_dvd__smult__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1422, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|X4=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X4,X3,X1),tc_Polynomial_Opoly(X1))), cls_dvd__smult__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1423, 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']).
% 3.66/4.69  cnf(i_0_1424, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)=c_Divides_Odiv__class_Odiv(X3,X4,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__mult1_0, ['final']).
% 3.66/4.69  cnf(i_0_1425, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)=c_Divides_Odiv__class_Odiv(X2,X4,X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__mult2_0, ['final']).
% 3.66/4.69  cnf(i_0_1426, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)), cls_zero__le__double__add__iff__zero__le__single__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1427, 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']).
% 3.66/4.69  cnf(i_0_1428, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_double__add__le__zero__iff__single__add__le__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1429, 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']).
% 3.66/4.69  cnf(i_0_1430, 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']).
% 3.66/4.69  cnf(i_0_1431, 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']).
% 3.66/4.69  cnf(i_0_1432, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X2,X1),X3,tc_Polynomial_Opoly(X1))), cls_smult__dvd__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1433, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),tc_Polynomial_Opoly(X1))), cls_dvd__poly__gcd__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1434, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Opoly__gcd(X4,X3,X1),tc_Polynomial_Opoly(X1))), cls_dvd__poly__gcd__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1435, 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']).
% 3.66/4.69  cnf(i_0_1436, 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']).
% 3.66/4.69  cnf(i_0_1437, axiom, (c_Polynomial_Opoly(c_Polynomial_Osmult(X2,X3,X1),X4,X1)=c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), cls_poly__smult_0, ['final']).
% 3.66/4.69  cnf(i_0_1438, axiom, (c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X2,X3,X1),X4,X1)=c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)), cls_poly__gcd__assoc_0, ['final']).
% 3.66/4.69  cnf(i_0_1439, 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']).
% 3.66/4.69  cnf(i_0_1440, 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']).
% 3.66/4.69  cnf(i_0_1441, 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']).
% 3.66/4.69  cnf(i_0_1442, 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']).
% 3.66/4.69  cnf(i_0_1443, 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']).
% 3.66/4.69  cnf(i_0_1444, 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']).
% 3.66/4.69  cnf(i_0_1445, 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']).
% 3.66/4.69  cnf(i_0_1446, 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']).
% 3.66/4.69  cnf(i_0_1447, 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']).
% 3.66/4.69  cnf(i_0_1448, 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']).
% 3.66/4.69  cnf(i_0_1449, axiom, (c_Polynomial_Osmult(X2,c_Polynomial_Osmult(X3,X4,X1),X1)=c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), cls_smult__smult_0, ['final']).
% 3.66/4.69  cnf(i_0_1450, axiom, (c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X3,X4,X1),X1)=c_Polynomial_Opoly__gcd(X3,c_Polynomial_Opoly__gcd(X2,X4,X1),X1)|~class_Ring__and__Field_Ofield(X1)), cls_poly__gcd__left__commute_0, ['final']).
% 3.66/4.69  cnf(i_0_1451, 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']).
% 3.66/4.69  cnf(i_0_1452, 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']).
% 3.66/4.69  cnf(i_0_1453, 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']).
% 3.66/4.69  cnf(i_0_1454, 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']).
% 3.66/4.69  cnf(i_0_1455, 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']).
% 3.66/4.69  cnf(i_0_1456, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)=c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)|~class_OrderedGroup_Omonoid__mult(X1)), cls_power__mult_0, ['final']).
% 3.66/4.69  cnf(i_0_1457, axiom, (c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X2,X3,X1),X4,X1)=c_Power_Opower__class_Opower(X2,c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Opwr__pwr_0, ['final']).
% 3.66/4.69  cnf(i_0_1458, axiom, (c_lessequals(c_Polynomial_Odegree(c_Polynomial_Osmult(X2,X3,X1),X1),c_Polynomial_Odegree(X3,X1),tc_nat)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), cls_degree__smult__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1459, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_inverse__le__imp__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1460, axiom, (c_HOL_Oord__class_Oless(X2,X3,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_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_inverse__less__imp__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1461, axiom, (c_lessequals(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_inverse__le__imp__le__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1462, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_inverse__less__imp__less__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1463, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_le__iff__diff__le__0_1, ['final']).
% 3.66/4.69  cnf(i_0_1464, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_less__iff__diff__less__0_1, ['final']).
% 3.66/4.69  cnf(i_0_1465, axiom, (c_lessequals(X3,X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_lessequals(X5,X4,X1)), cls_le__eqI_1, ['final']).
% 3.66/4.69  cnf(i_0_1466, axiom, (c_lessequals(X5,X4,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_lessequals(X3,X2,X1)), cls_le__eqI_0, ['final']).
% 3.66/4.69  cnf(i_0_1467, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_HOL_Oord__class_Oless(X4,X5,X1)), cls_less__eqI_1, ['final']).
% 3.66/4.69  cnf(i_0_1468, axiom, (c_HOL_Oord__class_Oless(X4,X5,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X5,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), cls_less__eqI_0, ['final']).
% 3.66/4.69  cnf(i_0_1469, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X3,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))), cls_smult__dvd__iff_4, ['final']).
% 3.66/4.69  cnf(i_0_1470, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_mult__le__cancel1_1, ['final']).
% 3.66/4.69  cnf(i_0_1471, axiom, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), cls_mult__le__cancel2_1, ['final']).
% 3.66/4.69  cnf(i_0_1472, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)), cls_dvd__mult__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1473, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)), cls_dvd__mult__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1474, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)=c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)), cls_nat__mult__assoc_0, ['final']).
% 3.66/4.69  cnf(i_0_1475, axiom, (c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)=c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_abs__div__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1476, axiom, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1)=c_Divides_Odiv__class_Omod(X2,X4,X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)), cls_mod__mod__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1477, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)), cls_nat__0__less__mult__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1478, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)), cls_nat__0__less__mult__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1479, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)=c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)), cls_abs__mult__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1480, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__mult1__if_0, ['final']).
% 3.66/4.69  cnf(i_0_1481, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)), cls_le__eq__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1482, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),X3,tc_Polynomial_Opoly(X1))), cls_smult__dvd__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1483, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~c_lessequals(X2,X3,X1)), cls_abs__le__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1484, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~c_lessequals(X2,X3,X1)), cls_abs__leI_0, ['final']).
% 3.66/4.69  cnf(i_0_1485, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), cls_abs__less__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1486, axiom, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1),X1)=c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_abs__power__minus_0, ['final']).
% 3.66/4.69  cnf(i_0_1487, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)|~class_Ring__and__Field_Oidom(X1)), cls_dvd__mult__cancel__left_1, ['final']).
% 3.66/4.69  cnf(i_0_1488, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X1),X1),X1)|~class_Ring__and__Field_Oidom(X1)), cls_dvd__mult__cancel__right_1, ['final']).
% 3.66/4.69  cnf(i_0_1489, 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']).
% 3.66/4.69  cnf(i_0_1490, 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']).
% 3.66/4.69  cnf(i_0_1491, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_add__nonneg__eq__0__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1492, axiom, (X3=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|c_HOL_Oplus__class_Oplus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_add__nonneg__eq__0__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1493, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|~c_lessequals(X3,X2,X1)), cls_le__imp__inverse__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1494, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(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(X3,X2,X1)), cls_less__imp__inverse__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1495, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_lessequals(X3,X2,X1)), cls_le__imp__inverse__le__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1496, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)), cls_less__imp__inverse__less__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1497, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X3,X1),X1)|~class_Divides_Oring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_dvd__neg__div_0, ['final']).
% 3.66/4.69  cnf(i_0_1498, axiom, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X3,X1),X1)|~class_Divides_Oring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_dvd__div__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1499, axiom, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_one__le__inverse__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1500, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,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_Oone__class_Oone(X1),X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_one__less__inverse__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1501, axiom, (c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_divide__le__0__1__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1502, 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']).
% 3.66/4.69  cnf(i_0_1503, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__le__divide__1__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1504, 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']).
% 3.66/4.69  cnf(i_0_1505, axiom, (~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_power__le__zero__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1506, 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']).
% 3.66/4.69  cnf(i_0_1507, 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']).
% 3.66/4.69  cnf(i_0_1508, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X3,X1),X4,tc_Polynomial_Opoly(X1))|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X1))), cls_smult__dvd_0, ['final']).
% 3.66/4.69  cnf(i_0_1509, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X2,X3,X1),X4,tc_Polynomial_Opoly(X1))|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X1))), cls_smult__dvd__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1510, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1))|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))), cls_dvd__smult__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1511, axiom, (c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)), cls_inverse__le__1__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1512, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)), cls_inverse__less__1__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1513, 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']).
% 3.66/4.69  cnf(i_0_1514, axiom, (c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_double__add__le__zero__iff__single__add__le__zero_1, ['final']).
% 3.66/4.69  cnf(i_0_1515, 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']).
% 3.66/4.69  cnf(i_0_1516, 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']).
% 3.66/4.69  cnf(i_0_1517, axiom, (c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_one__le__power_0, ['final']).
% 3.66/4.69  cnf(i_0_1518, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__le__power__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1519, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__le__power_0, ['final']).
% 3.66/4.69  cnf(i_0_1520, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_zero__le__double__add__iff__zero__le__single__add_1, ['final']).
% 3.66/4.69  cnf(i_0_1521, 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']).
% 3.66/4.69  cnf(i_0_1522, 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']).
% 3.66/4.69  cnf(i_0_1523, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Polynomial_Osmult(X3,X4,X1),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X1))), cls_dvd__smult_0, ['final']).
% 3.66/4.69  cnf(i_0_1524, axiom, (c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,X3,X1)), cls_le__iff__diff__le__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1525, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), cls_less__iff__diff__less__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1526, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), cls_dvd__power_0, ['final']).
% 3.66/4.69  cnf(i_0_1527, axiom, (X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_nat__mult__eq__cancel1_0, ['final']).
% 3.66/4.69  cnf(i_0_1528, negated_conjecture, (~c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), cls_conjecture_0, ['final']).
% 3.66/4.69  cnf(i_0_1529, axiom, (c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X3,X1),X3,X1)=X2|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_dvd__div__mult__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1530, axiom, (c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Odiv(X3,X2,X1),X1)=X3|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__mult__div__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1531, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__mult2_0, ['final']).
% 3.66/4.69  cnf(i_0_1532, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__mult_0, ['final']).
% 3.66/4.69  cnf(i_0_1533, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)=c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__minus__commute_0, ['final']).
% 3.66/4.69  cnf(i_0_1534, 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']).
% 3.66/4.69  cnf(i_0_1535, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_nonzero__inverse__mult__distrib_0, ['final']).
% 3.66/4.69  cnf(i_0_1536, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_abs__divide_0, ['final']).
% 3.66/4.69  cnf(i_0_1537, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__mult__distrib_0, ['final']).
% 3.66/4.69  cnf(i_0_1538, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)), cls_nonzero__abs__divide_0, ['final']).
% 3.66/4.69  cnf(i_0_1539, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X1)), cls_dvd__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1540, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_lessequals(X2,X4,X1)), cls_order__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1541, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X4,X1)|~c_lessequals(X4,X3,X1)), cls_xt1_I6_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1542, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X4,X3,X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)), cls_order__less__le__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1543, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)|~c_lessequals(X2,X4,X1)), cls_order__le__less__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1544, 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']).
% 3.66/4.69  cnf(i_0_1545, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X4,X1)|~c_lessequals(X4,X3,X1)), cls_xt1_I8_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1546, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X4,X1)|~c_HOL_Oord__class_Oless(X4,X3,X1)), cls_xt1_I7_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1547, 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']).
% 3.66/4.69  cnf(i_0_1548, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), cls_Lim_Ominus__diff__minus_0, ['final']).
% 3.66/4.69  cnf(i_0_1549, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)=c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_abs__mult_0, ['final']).
% 3.66/4.69  cnf(i_0_1550, 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']).
% 3.66/4.69  cnf(i_0_1551, 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']).
% 3.66/4.69  cnf(i_0_1552, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), cls_neg__le__iff__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1553, 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']).
% 3.66/4.69  cnf(i_0_1554, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_zero__le__power__abs_0, ['final']).
% 3.66/4.69  cnf(i_0_1555, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1)=c_Divides_Odiv__class_Omod(X3,X2,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__add__self1_0, ['final']).
% 3.66/4.69  cnf(i_0_1556, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__add__self2_0, ['final']).
% 3.66/4.69  cnf(i_0_1557, axiom, (c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1)=c_Divides_Odiv__class_Omod(X2,X3,X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mod__trivial_0, ['final']).
% 3.66/4.69  cnf(i_0_1558, 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']).
% 3.66/4.69  cnf(i_0_1559, 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']).
% 3.66/4.69  cnf(i_0_1560, axiom, (c_lessequals(X1,X2,tc_nat)|~c_lessequals(X3,X2,tc_nat)|~c_lessequals(X1,X3,tc_nat)), cls_le__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1561, axiom, (c_lessequals(c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X3,X1),tc_nat)|X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,tc_Polynomial_Opoly(X1))), cls_dvd__imp__degree__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1562, axiom, (c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)), cls_CHAINED_0_03, ['final']).
% 3.66/4.69  cnf(i_0_1563, axiom, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_power__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1564, 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']).
% 3.66/4.69  cnf(i_0_1565, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), cls_abs__le__D2_0, ['final']).
% 3.66/4.69  cnf(i_0_1566, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)), cls_minus__le__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1567, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1)), cls_minus__le__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1568, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), cls_abs__less__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1569, 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']).
% 3.66/4.69  cnf(i_0_1570, 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']).
% 3.66/4.69  cnf(i_0_1571, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), cls_le__minus__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1572, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), cls_le__minus__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1573, 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']).
% 3.66/4.69  cnf(i_0_1574, 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']).
% 3.66/4.69  cnf(i_0_1575, axiom, (c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X2,X1),X3,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_nonzero__power__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1576, 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']).
% 3.66/4.69  cnf(i_0_1577, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_inverse__nonnegative__iff__nonnegative_0, ['final']).
% 3.66/4.69  cnf(i_0_1578, 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_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_one__le__inverse__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1579, 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_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_one__less__inverse__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1580, 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_Oinverse(X2,X1),X1)), cls_inverse__positive__iff__positive_0, ['final']).
% 3.66/4.69  cnf(i_0_1581, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_inverse__nonpositive__iff__nonpositive_0, ['final']).
% 3.66/4.69  cnf(i_0_1582, 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_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_inverse__negative__iff__negative_0, ['final']).
% 3.66/4.69  cnf(i_0_1583, axiom, (c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_one__le__inverse__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1584, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_one__less__inverse__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1585, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)), cls_inverse__positive__imp__positive_0, ['final']).
% 3.66/4.69  cnf(i_0_1586, axiom, (c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_inverse__negative__imp__negative_0, ['final']).
% 3.66/4.69  cnf(i_0_1587, 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']).
% 3.66/4.69  cnf(i_0_1588, 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']).
% 3.66/4.69  cnf(i_0_1589, 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']).
% 3.66/4.69  cnf(i_0_1590, 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']).
% 3.66/4.69  cnf(i_0_1591, 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']).
% 3.66/4.69  cnf(i_0_1592, axiom, (c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X2,X3,X1),X1)=c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_power__abs_0, ['final']).
% 3.66/4.69  cnf(i_0_1593, 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']).
% 3.66/4.69  cnf(i_0_1594, 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']).
% 3.66/4.69  cnf(i_0_1595, 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']).
% 3.66/4.69  cnf(i_0_1596, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), cls_smult__dvd__iff_3, ['final']).
% 3.66/4.69  cnf(i_0_1597, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_neg__le__0__iff__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1598, 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']).
% 3.66/4.69  cnf(i_0_1599, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), cls_neg__0__le__iff__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1600, 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']).
% 3.66/4.69  cnf(i_0_1601, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)), cls_less__le__not__le_2, ['final']).
% 3.66/4.69  cnf(i_0_1602, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)|c_Polynomial_Oorder(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(X3,X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_CHAINED_0_01, ['final']).
% 3.66/4.69  cnf(i_0_1603, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X3,X2,X1)), cls_le__imp__neg__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1604, 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']).
% 3.66/4.69  cnf(i_0_1605, 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']).
% 3.66/4.69  cnf(i_0_1606, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_inverse__le__1__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1607, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)), cls_inverse__less__1__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1608, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_inverse__le__1__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1609, axiom, (c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_inverse__nonpositive__iff__nonpositive_1, ['final']).
% 3.66/4.69  cnf(i_0_1610, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_inverse__less__1__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1611, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(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_inverse__negative__iff__negative_1, ['final']).
% 3.66/4.69  cnf(i_0_1612, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_inverse__nonnegative__iff__nonnegative_1, ['final']).
% 3.66/4.69  cnf(i_0_1613, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(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_inverse__positive__iff__positive_1, ['final']).
% 3.66/4.69  cnf(i_0_1614, 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']).
% 3.66/4.69  cnf(i_0_1615, 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']).
% 3.66/4.69  cnf(i_0_1616, 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']).
% 3.66/4.69  cnf(i_0_1617, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)), cls_neg__less__eq__nonneg_0, ['final']).
% 3.66/4.69  cnf(i_0_1618, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)), cls_minus__le__self__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1619, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), cls_less__eq__neg__nonpos_0, ['final']).
% 3.66/4.69  cnf(i_0_1620, axiom, (c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)), cls_le__minus__self__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1621, 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']).
% 3.66/4.69  cnf(i_0_1622, 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']).
% 3.66/4.69  cnf(i_0_1623, 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']).
% 3.66/4.69  cnf(i_0_1624, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_neg__le__0__iff__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1625, 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']).
% 3.66/4.69  cnf(i_0_1626, axiom, (c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_negative__imp__inverse__negative_0, ['final']).
% 3.66/4.69  cnf(i_0_1627, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_positive__imp__inverse__positive_0, ['final']).
% 3.66/4.69  cnf(i_0_1628, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_neg__0__le__iff__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1629, 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']).
% 3.66/4.69  cnf(i_0_1630, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)=c_HOL_Oinverse__class_Odivide(X3,X2,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__divide_0, ['final']).
% 3.66/4.69  cnf(i_0_1631, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)), cls_minus__dvd__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1632, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), cls_abs__dvd__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1633, axiom, (c_lessequals(X2,X3,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), cls_abs__le__D1_0, ['final']).
% 3.66/4.69  cnf(i_0_1634, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)), cls_abs__less__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1635, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)), cls_dvd__minus__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1636, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oabs__class_Oabs(X3,X1),X1)), cls_dvd__abs__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1637, 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']).
% 3.66/4.69  cnf(i_0_1638, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_dvd__power_1, ['final']).
% 3.66/4.69  cnf(i_0_1639, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_neg__less__eq__nonneg_1, ['final']).
% 3.66/4.69  cnf(i_0_1640, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_minus__le__self__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1641, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Oordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_less__eq__neg__nonpos_1, ['final']).
% 3.66/4.69  cnf(i_0_1642, axiom, (c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)|~class_OrderedGroup_Olordered__ab__group__add(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_le__minus__self__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1643, 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']).
% 3.66/4.69  cnf(i_0_1644, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)), inference(cn,[status(thm)],[i_0_1033]), ['final']).
% 3.66/4.69  cnf(i_0_1645, axiom, (c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X1)=c_HOL_Ominus__class_Ominus(X3,X2,X1)|~class_OrderedGroup_Oab__group__add(X1)), cls_minus__diff__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1646, 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']).
% 3.66/4.69  cnf(i_0_1647, 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']).
% 3.66/4.69  cnf(i_0_1648, 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']).
% 3.66/4.69  cnf(i_0_1649, 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']).
% 3.66/4.69  cnf(i_0_1650, axiom, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1)), cls_order__antisym_0, ['final']).
% 3.66/4.69  cnf(i_0_1651, axiom, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X3,X2,X1)|~c_lessequals(X2,X3,X1)), cls_order__eq__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1652, axiom, (X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)|~c_lessequals(X3,X2,X1)), cls_order__antisym__conv_0, ['final']).
% 3.66/4.69  cnf(i_0_1653, 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']).
% 3.66/4.69  cnf(i_0_1654, 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']).
% 3.66/4.69  cnf(i_0_1655, axiom, (X2=X3|~class_OrderedGroup_Oab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ominus__class_Ominus(X4,X4,X1)), cls_eq__eqI_1, ['final']).
% 3.66/4.69  cnf(i_0_1656, 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']).
% 3.66/4.69  cnf(i_0_1657, 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']).
% 3.66/4.69  cnf(i_0_1658, 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']).
% 3.66/4.69  cnf(i_0_1659, axiom, (X3=X4|~class_OrderedGroup_Oab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X2,X1)!=c_HOL_Ominus__class_Ominus(X3,X4,X1)), cls_eq__eqI_0, ['final']).
% 3.66/4.69  cnf(i_0_1660, axiom, (~class_Orderings_Opreorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)), cls_less__le__not__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1661, 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']).
% 3.66/4.69  cnf(i_0_1662, 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']).
% 3.66/4.69  cnf(i_0_1663, axiom, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X2,X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_linorder__antisym__conv2_1, ['final']).
% 3.66/4.69  cnf(i_0_1664, axiom, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)|~c_lessequals(X3,X2,X1)), cls_linorder__not__less_1, ['final']).
% 3.66/4.69  cnf(i_0_1665, axiom, (~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)|~c_HOL_Oord__class_Oless(X3,X2,X1)), cls_linorder__not__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1666, 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']).
% 3.66/4.69  cnf(i_0_1667, 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']).
% 3.66/4.69  cnf(i_0_1668, 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']).
% 3.66/4.69  cnf(i_0_1669, 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']).
% 3.66/4.69  cnf(i_0_1670, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)=X3|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__self1__is__id_0, ['final']).
% 3.66/4.69  cnf(i_0_1671, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)=X2|X3=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__mult__self2__is__id_0, ['final']).
% 3.66/4.69  cnf(i_0_1672, 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']).
% 3.66/4.69  cnf(i_0_1673, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X2,X3,X1),X2,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), cls_poly__gcd__dvd1_0, ['final']).
% 3.66/4.69  cnf(i_0_1674, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X2,X3,X1),X3,tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), cls_poly__gcd__dvd2_0, ['final']).
% 3.66/4.69  cnf(i_0_1675, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)|~class_Ring__and__Field_Oordered__ring__strict(X1)), cls_zero__le__square_0, ['final']).
% 3.66/4.69  cnf(i_0_1676, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_abs__dvd__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1677, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_minus__dvd__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1678, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Oabs__class_Oabs(X3,X1),X1)|~class_Ring__and__Field_Oordered__idom(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__abs__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1679, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_Ring__and__Field_Ocomm__ring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)), cls_dvd__minus__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1680, 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']).
% 3.66/4.69  cnf(i_0_1681, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X3,X2,tc_nat)), cls_mult__cancel2_0, ['final']).
% 3.66/4.69  cnf(i_0_1682, axiom, (X2=X3|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)), cls_nat__mult__eq__cancel__disj_0, ['final']).
% 3.66/4.69  cnf(i_0_1683, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=X3|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)), cls_mult__cancel1_0, ['final']).
% 3.66/4.69  cnf(i_0_1684, axiom, (c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_mod__div__trivial_0, ['final']).
% 3.66/4.69  cnf(i_0_1685, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__self1__is__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1686, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_mod__mult__self2__is__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1687, axiom, (X1=X2|~c_lessequals(X2,X1,tc_nat)|~c_lessequals(X1,X2,tc_nat)), cls_le__antisym_0, ['final']).
% 3.66/4.69  cnf(i_0_1688, axiom, (c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1)), cls_diff__add__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1689, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1)=X2|~class_OrderedGroup_Ogroup__add(X1)), cls_add__diff__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1690, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_dvd__triv__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1691, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)|~class_Ring__and__Field_Odvd(X1)), cls_dvdI_0, ['final']).
% 3.66/4.69  cnf(i_0_1692, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_dvd__triv__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1693, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)=c_HOL_Otimes__class_Otimes(X2,X2,X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_abs__mult__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1694, 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']).
% 3.66/4.69  cnf(i_0_1695, 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']).
% 3.66/4.69  cnf(i_0_1696, 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']).
% 3.66/4.69  cnf(i_0_1697, axiom, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)), cls_zero__less__abs__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1698, axiom, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), cls_le__square_0, ['final']).
% 3.66/4.69  cnf(i_0_1699, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_dvd__eq__mod__eq__0_1, ['final']).
% 3.66/4.69  cnf(i_0_1700, axiom, (c_Divides_Odiv__class_Omod(X2,X3,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X1)), cls_dvd__imp__mod__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1701, axiom, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)), cls_linorder__antisym__conv2_0, ['final']).
% 3.66/4.69  cnf(i_0_1702, axiom, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Olinorder(X1)|~c_lessequals(X2,X3,X1)), cls_linorder__antisym__conv1_0, ['final']).
% 3.66/4.69  cnf(i_0_1703, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X3=X2|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), cls_xt1_I11_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1704, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X3=X2|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), cls_xt1_I12_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1705, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), cls_order__neq__le__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1706, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), cls_order__le__neq__trans_0, ['final']).
% 3.66/4.69  cnf(i_0_1707, axiom, (X2=X3|c_HOL_Oord__class_Oless(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), cls_order__le__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1708, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|X2=X3|~class_Orderings_Oorder(X1)|~c_lessequals(X2,X3,X1)), cls_order__less__le_2, ['final']).
% 3.66/4.69  cnf(i_0_1709, axiom, (c_HOL_Oinverse__class_Odivide(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)|~class_Int_Onumber__ring(X1)), cls_class__fieldgb_Odivide__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1710, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__le__zero__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1711, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), cls_order__less__imp__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1712, axiom, (c_lessequals(X2,X3,X1)|~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X3,X1)), cls_order__le__less_1, ['final']).
% 3.66/4.69  cnf(i_0_1713, axiom, (c_Polynomial_Odegree(c_Polynomial_Osmult(X2,X3,X1),X1)=c_Polynomial_Odegree(X3,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)), cls_degree__smult__eq_1, ['final']).
% 3.66/4.69  cnf(i_0_1714, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__minus__le__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1715, axiom, (~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__not__less__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1716, axiom, (c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1),X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Oidom(X1)), cls_degree__smult__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1717, axiom, (c_HOL_Ominus__class_Ominus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)=c_HOL_Oplus__class_Oplus(X2,X3,X1)|~class_OrderedGroup_Ogroup__add(X1)), cls_diff__minus__eq__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1718, axiom, (c_HOL_Oinverse__class_Odivide(X2,X3,X1)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X3,X1),X1)|~class_Ring__and__Field_Ofield(X1)), cls_divide__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1719, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), cls_ab__diff__minus_0, ['final']).
% 3.66/4.69  cnf(i_0_1720, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Oab__group__add(X1)), cls_diff__def_0, ['final']).
% 3.66/4.69  cnf(i_0_1721, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_OrderedGroup_Ogroup__add(X1)), cls_diff__minus_0, ['final']).
% 3.66/4.69  cnf(i_0_1722, axiom, (c_HOL_Ominus__class_Ominus(X2,X3,X1)=c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)|~class_Int_Onumber__ring(X1)), cls_class__ring_Osub__add_0, ['final']).
% 3.66/4.69  cnf(i_0_1723, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|X1=X2|~c_lessequals(X1,X2,tc_nat)), cls_nat__less__le_2, ['final']).
% 3.66/4.69  cnf(i_0_1724, axiom, (X1=X2|c_HOL_Oord__class_Oless(X1,X2,tc_nat)|~c_lessequals(X1,X2,tc_nat)), cls_le__eq__less__or__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1725, axiom, (c_HOL_Oord__class_Oless(X1,X2,tc_nat)|X1=X2|~c_lessequals(X1,X2,tc_nat)), cls_le__neq__implies__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1726, axiom, (c_Polynomial_Opoly(v_qa____,X1,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_pa____,X1,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), cls_pq0_0, ['final']).
% 3.66/4.69  cnf(i_0_1727, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Orderings_Olinorder(X1)|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__if__lattice_0, ['final']).
% 3.66/4.69  cnf(i_0_1728, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), cls_termination__basic__simps_I5_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1729, axiom, (c_lessequals(X1,X2,tc_nat)|~c_HOL_Oord__class_Oless(X1,X2,tc_nat)), cls_nat__less__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1730, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_Ring__and__Field_Oabs__if(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__if_0, ['final']).
% 3.66/4.69  cnf(i_0_1731, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__of__nonpos_0, ['final']).
% 3.66/4.69  cnf(i_0_1732, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)), cls_abs__of__neg_0, ['final']).
% 3.66/4.69  cnf(i_0_1733, 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']).
% 3.66/4.69  cnf(i_0_1734, 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']).
% 3.66/4.69  cnf(i_0_1735, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|c_Polynomial_Osmult(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), cls_smult__eq__0__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1736, axiom, (c_Polynomial_Opoly(X2,X3,X1)=c_HOL_Ozero__class_Ozero(X1)|c_Polynomial_Oorder(X3,X2,X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~class_Ring__and__Field_Oidom(X1)), cls_CHAINED_2, ['final']).
% 3.66/4.69  cnf(i_0_1737, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|c_Polynomial_Opoly__gcd(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), cls_poly__gcd__zero__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1738, axiom, (X3=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)|c_Polynomial_Opoly__gcd(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), cls_poly__gcd__zero__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1739, 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']).
% 3.66/4.69  cnf(i_0_1740, 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']).
% 3.66/4.69  cnf(i_0_1741, 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']).
% 3.66/4.69  cnf(i_0_1742, 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']).
% 3.66/4.69  cnf(i_0_1743, 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']).
% 3.66/4.69  cnf(i_0_1744, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_abs__of__nonneg_0, ['final']).
% 3.66/4.69  cnf(i_0_1745, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_abs__of__pos_0, ['final']).
% 3.66/4.69  cnf(i_0_1746, axiom, (c_lessequals(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)), cls_linorder__linear_0, ['final']).
% 3.66/4.69  cnf(i_0_1747, axiom, (c_HOL_Oord__class_Oless(X2,X2,X1)|c_lessequals(X2,X2,X1)|~class_Orderings_Olinorder(X1)), cls_linorder__antisym__conv1_1, ['final']).
% 3.66/4.69  cnf(i_0_1748, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)), cls_linorder__not__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1749, axiom, (c_HOL_Oord__class_Oless(X2,X3,X1)|c_lessequals(X3,X2,X1)|~class_Orderings_Olinorder(X1)), cls_not__leE_0, ['final']).
% 3.66/4.69  cnf(i_0_1750, axiom, (c_lessequals(X2,X3,X1)|c_HOL_Oord__class_Oless(X3,X2,X1)|~class_Orderings_Olinorder(X1)), cls_linorder__not__less_0, ['final']).
% 3.66/4.69  cnf(i_0_1751, axiom, (c_Polynomial_Opoly__gcd(X2,X3,X1)=c_Polynomial_Opoly__gcd(X3,X2,X1)|~class_Ring__and__Field_Ofield(X1)), cls_poly__gcd__commute_0, ['final']).
% 3.66/4.69  cnf(i_0_1752, 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']).
% 3.66/4.69  cnf(i_0_1753, 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']).
% 3.66/4.69  cnf(i_0_1754, 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']).
% 3.66/4.69  cnf(i_0_1755, 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']).
% 3.66/4.69  cnf(i_0_1756, 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']).
% 3.66/4.69  cnf(i_0_1757, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=X3|~class_Ring__and__Field_Odivision__ring(X1)|c_HOL_Otimes__class_Otimes(X2,X3,X1)!=c_HOL_Oone__class_Oone(X1)), cls_inverse__unique_0, ['final']).
% 3.66/4.69  cnf(i_0_1758, 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']).
% 3.66/4.69  cnf(i_0_1759, 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']).
% 3.66/4.69  cnf(i_0_1760, 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']).
% 3.66/4.69  cnf(i_0_1761, axiom, (c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__ge__minus__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1762, axiom, (~class_Ring__and__Field_Oordered__semidom(X1)|~c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)), cls_not__one__le__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1763, 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']).
% 3.66/4.69  cnf(i_0_1764, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), cls_mult__cancel1_1, ['final']).
% 3.66/4.69  cnf(i_0_1765, axiom, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_mult__cancel2_1, ['final']).
% 3.66/4.69  cnf(i_0_1766, 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']).
% 3.66/4.69  cnf(i_0_1767, 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']).
% 3.66/4.69  cnf(i_0_1768, 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']).
% 3.66/4.69  cnf(i_0_1769, 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']).
% 3.66/4.69  cnf(i_0_1770, 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']).
% 3.66/4.69  cnf(i_0_1771, axiom, (X2=X3|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_class__ringb_Osubr0__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1772, axiom, (c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), cls_poly__gcd__0__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1773, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)), cls_dvd__0__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1774, 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']).
% 3.66/4.69  cnf(i_0_1775, 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']).
% 3.66/4.69  cnf(i_0_1776, axiom, (c_lessequals(X1,X2,tc_nat)|c_lessequals(X2,X1,tc_nat)), cls_nat__le__linear_0, ['final']).
% 3.66/4.69  cnf(i_0_1777, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)|~class_Ring__and__Field_Oordered__idom(X1)|c_HOL_Oabs__class_Oabs(X2,X1)!=c_HOL_Oabs__class_Oabs(X3,X1)), cls_dvd__if__abs__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1778, axiom, (c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__le__zero__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1779, axiom, (c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)=c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)), cls_nat__mult__commute_0, ['final']).
% 3.66/4.69  cnf(i_0_1780, 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']).
% 3.66/4.69  cnf(i_0_1781, 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']).
% 3.66/4.69  cnf(i_0_1782, axiom, (X2=X3|~class_OrderedGroup_Oab__group__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_eq__iff__diff__eq__0_1, ['final']).
% 3.66/4.69  cnf(i_0_1783, axiom, (X2=X3|~class_OrderedGroup_Ogroup__add(X1)|c_HOL_Ominus__class_Ominus(X2,X3,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_right__minus__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1784, axiom, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_zero__less__abs__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1785, 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']).
% 3.66/4.69  cnf(i_0_1786, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), cls_field__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1787, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),X2,X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_left__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1788, axiom, (c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_right__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1789, axiom, (X2=c_HOL_Ozero__class_Ozero(tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Ozero__class_Ozero(tc_nat)), cls_mult__is__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1790, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_Ring__and__Field_Oordered__field(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_abs__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1791, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__minus__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1792, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__ge__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1793, axiom, (~class_Orderings_Opreorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_order__less__irrefl_0, ['final']).
% 3.66/4.69  cnf(i_0_1794, axiom, (~class_Orderings_Olinorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_linorder__neq__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1795, axiom, (~class_Orderings_Oorder(X1)|~c_HOL_Oord__class_Oless(X2,X2,X1)), cls_order__less__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1796, 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']).
% 3.66/4.69  cnf(i_0_1797, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|X2=c_HOL_Oone__class_Oone(tc_nat)|X1!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)), cls_mult__eq__self__implies__10_0, ['final']).
% 3.66/4.69  cnf(i_0_1798, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X2,X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oordered__field(X1)), cls_nonzero__abs__inverse_0, ['final']).
% 3.66/4.69  cnf(i_0_1799, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_nonzero__inverse__minus__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1800, axiom, (X1=c_HOL_Ozero__class_Ozero(tc_nat)|~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_le__0__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1801, 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']).
% 3.66/4.69  cnf(i_0_1802, 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']).
% 3.66/4.69  cnf(i_0_1803, 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']).
% 3.66/4.69  cnf(i_0_1804, 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']).
% 3.66/4.69  cnf(i_0_1805, axiom, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)), cls_nat__mult__eq__1__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1806, axiom, (X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)!=c_HOL_Oone__class_Oone(tc_nat)), cls_nat__mult__eq__1__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1807, axiom, (X1=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)), cls_nat__1__eq__mult__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1808, axiom, (X2=c_HOL_Oone__class_Oone(tc_nat)|c_HOL_Oone__class_Oone(tc_nat)!=c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)), cls_nat__1__eq__mult__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1809, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Orderings_Olinorder(X1)|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)), cls_abs__if__lattice_1, ['final']).
% 3.66/4.69  cnf(i_0_1810, axiom, (c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), cls_smult__0__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1811, axiom, (c_Polynomial_Osmult(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), cls_smult__eq__0__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1812, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ofield(X1)|~class_Int_Onumber__ring(X1)), cls_class__fieldgb_Oinverse__divide_0, ['final']).
% 3.66/4.69  cnf(i_0_1813, axiom, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_not__less0_0, ['final']).
% 3.66/4.69  cnf(i_0_1814, axiom, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_gr__implies__not0_0, ['final']).
% 3.66/4.69  cnf(i_0_1815, axiom, (c_lessequals(X2,c_HOL_Oabs__class_Oabs(X2,X1),X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__ge__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1816, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ofield(X1)), cls_nonzero__inverse__eq__divide_0, ['final']).
% 3.66/4.69  cnf(i_0_1817, 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']).
% 3.66/4.69  cnf(i_0_1818, axiom, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Ocomm__semiring__0(X1)), cls_poly__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1819, axiom, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)), cls_CHAINED_1, ['final']).
% 3.66/4.69  cnf(i_0_1820, axiom, (c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)), cls_order__root_1, ['final']).
% 3.66/4.69  cnf(i_0_1821, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), cls_nat__less__le_1, ['final']).
% 3.66/4.69  cnf(i_0_1822, axiom, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), cls_less__not__refl_0, ['final']).
% 3.66/4.69  cnf(i_0_1823, axiom, (c_HOL_Oabs__class_Oabs(X2,X1)=X2|c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Oabs__if(X1)), cls_abs__if_1, ['final']).
% 3.66/4.69  cnf(i_0_1824, 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']).
% 3.66/4.69  cnf(i_0_1825, 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']).
% 3.66/4.69  cnf(i_0_1826, axiom, (c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ouminus__class_Ouminus(X2,X1)|~class_OrderedGroup_Ogroup__add(X1)), cls_group__add__class_Odiff__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1827, axiom, (c_HOL_Oinverse__class_Oinverse(X2,X1)=c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ofield(X1)), cls_inverse__eq__divide_0, ['final']).
% 3.66/4.69  cnf(i_0_1828, 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']).
% 3.66/4.69  cnf(i_0_1829, 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']).
% 3.66/4.69  cnf(i_0_1830, 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']).
% 3.66/4.69  cnf(i_0_1831, 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']).
% 3.66/4.69  cnf(i_0_1832, 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']).
% 3.66/4.69  cnf(i_0_1833, axiom, (c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), cls_smult__0__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1834, axiom, (c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), cls_smult__eq__0__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1835, 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']).
% 3.66/4.69  cnf(i_0_1836, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)), cls_zero__le__one_0, ['final']).
% 3.66/4.69  cnf(i_0_1837, 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']).
% 3.66/4.69  cnf(i_0_1838, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1)), cls_class__ringb_Osubr0__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1839, 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']).
% 3.66/4.69  cnf(i_0_1840, 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']).
% 3.66/4.69  cnf(i_0_1841, 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']).
% 3.66/4.69  cnf(i_0_1842, axiom, (c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1843, 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']).
% 3.66/4.69  cnf(i_0_1844, 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']).
% 3.66/4.69  cnf(i_0_1845, 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']).
% 3.66/4.69  cnf(i_0_1846, 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']).
% 3.66/4.69  cnf(i_0_1847, 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']).
% 3.66/4.69  cnf(i_0_1848, 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']).
% 3.66/4.69  cnf(i_0_1849, axiom, (c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_mod__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1850, axiom, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__by__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1851, 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']).
% 3.66/4.69  cnf(i_0_1852, 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']).
% 3.66/4.69  cnf(i_0_1853, 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']).
% 3.66/4.69  cnf(i_0_1854, 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']).
% 3.66/4.69  cnf(i_0_1855, 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']).
% 3.66/4.69  cnf(i_0_1856, axiom, (c_Divides_Odiv__class_Omod(X2,c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_mod__by__1_0, ['final']).
% 3.66/4.69  cnf(i_0_1857, 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']).
% 3.66/4.69  cnf(i_0_1858, 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']).
% 3.66/4.69  cnf(i_0_1859, axiom, (c_Divides_Odiv__class_Odiv(X2,X2,X1)=c_HOL_Oone__class_Oone(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_div__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1860, 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']).
% 3.66/4.69  cnf(i_0_1861, 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']).
% 3.66/4.69  cnf(i_0_1862, 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']).
% 3.66/4.69  cnf(i_0_1863, 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']).
% 3.66/4.69  cnf(i_0_1864, 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']).
% 3.66/4.69  cnf(i_0_1865, 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']).
% 3.66/4.69  cnf(i_0_1866, 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']).
% 3.66/4.69  cnf(i_0_1867, 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']).
% 3.66/4.69  cnf(i_0_1868, 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']).
% 3.66/4.69  cnf(i_0_1869, 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']).
% 3.66/4.69  cnf(i_0_1870, axiom, (c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_smult__1__left_0, ['final']).
% 3.66/4.69  cnf(i_0_1871, 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']).
% 3.66/4.69  cnf(i_0_1872, axiom, (c_Divides_Odiv__class_Odiv(X2,c_HOL_Oone__class_Oone(X1),X1)=X2|~class_Divides_Osemiring__div(X1)), cls_div__by__1_0, ['final']).
% 3.66/4.69  cnf(i_0_1873, 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']).
% 3.66/4.69  cnf(i_0_1874, 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']).
% 3.66/4.69  cnf(i_0_1875, 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']).
% 3.66/4.69  cnf(i_0_1876, 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']).
% 3.66/4.69  cnf(i_0_1877, 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']).
% 3.66/4.69  cnf(i_0_1878, axiom, (c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_Divides_Osemiring__div(X1)), cls_mod__by__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1879, axiom, (c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1)=X2|~class_OrderedGroup_Ogroup__add(X1)), cls_diff__0__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1880, axiom, (c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_one__dvd_0, ['final']).
% 3.66/4.69  cnf(i_0_1881, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_dvd__0__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1882, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_OrderedGroup_Omonoid__mult(X1)), cls_power__one__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1883, axiom, (c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1)=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_class__semiring_Osemiring__rules_I33_J_0, ['final']).
% 3.66/4.69  cnf(i_0_1884, axiom, (c_Divides_Odiv__class_Omod(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), cls_mod__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1885, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Oab__group__add(X1)), cls_eq__iff__diff__eq__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1886, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1)), cls_diff__self_0, ['final']).
% 3.66/4.69  cnf(i_0_1887, axiom, (c_HOL_Ominus__class_Ominus(X2,X2,X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Ogroup__add(X1)), cls_right__minus__eq_1, ['final']).
% 3.66/4.69  cnf(i_0_1888, axiom, (X2=X3|X3=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Oinverse__class_Oinverse(X3,X1)), cls_nonzero__inverse__eq__imp__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1889, axiom, (c_HOL_Otimes__class_Otimes(X2,X2,X1)=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)), cls_mult__idem_0, ['final']).
% 3.66/4.69  cnf(i_0_1890, axiom, (c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X1)|~class_Ring__and__Field_Ocomm__semiring__1(X1)), cls_dvd__refl_0, ['final']).
% 3.66/4.69  cnf(i_0_1891, axiom, (c_lessequals(X2,X2,X1)|~class_Orderings_Opreorder(X1)), cls_order__eq__refl_0, ['final']).
% 3.66/4.69  cnf(i_0_1892, axiom, (c_lessequals(X2,X2,X1)|~class_Orderings_Oorder(X1)), cls_order__eq__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1893, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)=c_HOL_Oone__class_Oone(tc_nat)), cls_nat__mult__eq__1__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1894, axiom, (c_HOL_Oone__class_Oone(tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)), cls_nat__1__eq__mult__iff_2, ['final']).
% 3.66/4.69  cnf(i_0_1895, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1)=c_HOL_Oabs__class_Oabs(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__idempotent_0, ['final']).
% 3.66/4.69  cnf(i_0_1896, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)=c_HOL_Oabs__class_Oabs(X2,X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__minus__cancel_0, ['final']).
% 3.66/4.69  cnf(i_0_1897, axiom, (X2=X3|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Oinverse__class_Oinverse(X3,X1)), cls_inverse__eq__iff__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1898, 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']).
% 3.66/4.69  cnf(i_0_1899, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), cls_le__0__eq_1, ['final']).
% 3.66/4.69  cnf(i_0_1900, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)), cls_mult__is__0_1, ['final']).
% 3.66/4.69  cnf(i_0_1901, axiom, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)), cls_mult__is__0_2, ['final']).
% 3.66/4.69  cnf(i_0_1902, axiom, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), cls_nat__mult__1_0, ['final']).
% 3.66/4.69  cnf(i_0_1903, axiom, (c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)=X1), cls_nat__mult__1__right_0, ['final']).
% 3.66/4.69  cnf(i_0_1904, axiom, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), cls_le0_0, ['final']).
% 3.66/4.69  cnf(i_0_1905, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=X2|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__inverse__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1906, 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']).
% 3.66/4.69  cnf(i_0_1907, 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']).
% 3.66/4.69  cnf(i_0_1908, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X2,X1),X1)=X2|X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_nonzero__inverse__inverse__eq_0, ['final']).
% 3.66/4.69  cnf(i_0_1909, axiom, (c_lessequals(X1,X1,tc_nat)), cls_le__refl_0, ['final']).
% 3.66/4.69  cnf(i_0_1910, axiom, (c_lessequals(X1,X1,tc_nat)), cls_eq__imp__le_0, ['final']).
% 3.66/4.69  cnf(i_0_1911, axiom, (c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), cls_CHAINED_0_02, ['final']).
% 3.66/4.69  cnf(i_0_1912, axiom, (X2=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Oone__class_Oone(X1)), cls_inverse__eq__1__iff_0, ['final']).
% 3.66/4.69  cnf(i_0_1913, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_inverse__nonzero__iff__nonzero_0, ['final']).
% 3.66/4.69  cnf(i_0_1914, 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']).
% 3.66/4.69  cnf(i_0_1915, 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']).
% 3.66/4.69  cnf(i_0_1916, 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']).
% 3.66/4.69  cnf(i_0_1917, 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']).
% 3.66/4.69  cnf(i_0_1918, 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']).
% 3.66/4.69  cnf(i_0_1919, axiom, (c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)=c_HOL_Ozero__class_Ozero(tc_nat)|~class_HOL_Ozero(X1)), cls_degree__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1920, 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']).
% 3.66/4.69  cnf(i_0_1921, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|c_HOL_Oabs__class_Oabs(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_abs__eq__0_0, ['final']).
% 3.66/4.69  cnf(i_0_1922, axiom, (X2=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|c_HOL_Oinverse__class_Oinverse(X2,X1)!=c_HOL_Ozero__class_Ozero(X1)), cls_inverse__zero__imp__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1923, 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']).
% 3.66/4.69  cnf(i_0_1924, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Ofield(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__eq__1__iff_1, ['final']).
% 3.66/4.69  cnf(i_0_1925, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__ring(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__nonzero__iff__nonzero_1, ['final']).
% 3.66/4.69  cnf(i_0_1926, 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']).
% 3.66/4.69  cnf(i_0_1927, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Oordered__idom(X1)), cls_abs__one_0, ['final']).
% 3.66/4.69  cnf(i_0_1928, axiom, (c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)), cls_abs__eq__0_1, ['final']).
% 3.66/4.69  cnf(i_0_1929, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1)=c_HOL_Oone__class_Oone(X1)|~class_Ring__and__Field_Odivision__ring(X1)), cls_inverse__1_0, ['final']).
% 3.66/4.69  cnf(i_0_1930, axiom, (c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1)=c_HOL_Ozero__class_Ozero(X1)|~class_Ring__and__Field_Odivision__by__zero(X1)), cls_inverse__zero_0, ['final']).
% 3.66/4.69  cnf(i_0_1931, 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']).
% 3.66/4.69  cnf(i_0_1932, 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']).
% 3.66/4.69  cnf(i_0_1933, 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']).
% 3.66/4.69  cnf(i_0_1934, 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']).
% 3.66/4.69  cnf(i_0_1935, 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']).
% 3.66/4.69  cnf(i_0_1936, axiom, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_1937, axiom, (class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors, ['final']).
% 3.66/4.69  cnf(i_0_1938, axiom, (class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1, ['final']).
% 3.66/4.69  cnf(i_0_1939, axiom, (class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add, ['final']).
% 3.66/4.69  cnf(i_0_1940, axiom, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict, ['final']).
% 3.66/4.69  cnf(i_0_1941, axiom, (class_HOL_Ozero(tc_Polynomial_Opoly(X1))|~class_HOL_Ozero(X1)), clsarity_Polynomial__Opoly__HOL_Ozero, ['final']).
% 3.66/4.69  cnf(i_0_1942, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_1943, axiom, (class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1, ['final']).
% 3.66/4.69  cnf(i_0_1944, axiom, (class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring, ['final']).
% 3.66/4.69  cnf(i_0_1945, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_1946, axiom, (class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Orderings_Opreorder, ['final']).
% 3.66/4.69  cnf(i_0_1947, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_1948, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_1949, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult, ['final']).
% 3.66/4.69  cnf(i_0_1950, axiom, (class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult, ['final']).
% 3.66/4.69  cnf(i_0_1951, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Ocomm__monoid__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_1952, axiom, (class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring, ['final']).
% 3.66/4.69  cnf(i_0_1953, axiom, (class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if, ['final']).
% 3.66/4.69  cnf(i_0_1954, axiom, (class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add, ['final']).
% 3.66/4.69  cnf(i_0_1955, axiom, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors, ['final']).
% 3.66/4.69  cnf(i_0_1956, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_1957, axiom, (class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0, ['final']).
% 3.66/4.69  cnf(i_0_1958, axiom, (class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring, ['final']).
% 3.66/4.69  cnf(i_0_1959, axiom, (class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add, ['final']).
% 3.66/4.69  cnf(i_0_1960, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring, ['final']).
% 3.66/4.69  cnf(i_0_1961, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult, ['final']).
% 3.66/4.69  cnf(i_0_1962, axiom, (class_Divides_Oring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), clsarity_Polynomial__Opoly__Divides_Oring__div, ['final']).
% 3.66/4.69  cnf(i_0_1963, axiom, (class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring, ['final']).
% 3.66/4.69  cnf(i_0_1964, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_1965, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le, ['final']).
% 3.66/4.69  cnf(i_0_1966, axiom, (class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs, ['final']).
% 3.66/4.69  cnf(i_0_1967, axiom, (class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oring, ['final']).
% 3.66/4.69  cnf(i_0_1968, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1, ['final']).
% 3.66/4.69  cnf(i_0_1969, axiom, (class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero, ['final']).
% 3.66/4.69  cnf(i_0_1970, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors, ['final']).
% 3.66/4.69  cnf(i_0_1971, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one, ['final']).
% 3.66/4.69  cnf(i_0_1972, axiom, (class_Power_Opower(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), clsarity_Polynomial__Opoly__Power_Opower, ['final']).
% 3.66/4.69  cnf(i_0_1973, axiom, (class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__0(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring__0, ['final']).
% 3.66/4.69  cnf(i_0_1974, axiom, (class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom, ['final']).
% 3.66/4.69  cnf(i_0_1975, axiom, (class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs, ['final']).
% 3.66/4.69  cnf(i_0_1976, axiom, (class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))|~class_OrderedGroup_Oab__group__add(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add, ['final']).
% 3.66/4.69  cnf(i_0_1977, axiom, (class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom, ['final']).
% 3.66/4.69  cnf(i_0_1978, axiom, (class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1, ['final']).
% 3.66/4.69  cnf(i_0_1979, axiom, (class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono, ['final']).
% 3.66/4.69  cnf(i_0_1980, axiom, (class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring__1(X1)), clsarity_Polynomial__Opoly__Int_Onumber__ring, ['final']).
% 3.66/4.69  cnf(i_0_1981, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict, ['final']).
% 3.66/4.69  cnf(i_0_1982, axiom, (class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict, ['final']).
% 3.66/4.69  cnf(i_0_1983, axiom, (class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring, ['final']).
% 3.66/4.69  cnf(i_0_1984, axiom, (class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Orderings_Olinorder, ['final']).
% 3.66/4.69  cnf(i_0_1985, axiom, (class_Orderings_Oorder(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__Orderings_Oorder, ['final']).
% 3.66/4.69  cnf(i_0_1986, axiom, (class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__ring(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring, ['final']).
% 3.66/4.69  cnf(i_0_1987, axiom, (class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ocomm__semiring__1(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Odvd, ['final']).
% 3.66/4.69  cnf(i_0_1988, axiom, (class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Ofield(X1)), clsarity_Polynomial__Opoly__Divides_Osemiring__div, ['final']).
% 3.66/4.69  cnf(i_0_1989, axiom, (class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oidom(X1)), clsarity_Polynomial__Opoly__Ring__and__Field_Oidom, ['final']).
% 3.66/4.69  cnf(i_0_1990, axiom, (class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Ring__and__Field_Oordered__idom(X1)), clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add, ['final']).
% 3.66/4.69  cnf(i_0_1991, axiom, (v_pa____!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), cls_CHAINED_0, ['final']).
% 3.66/4.69  cnf(i_0_1992, axiom, (v_pa____!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), cls_pne_0, ['final']).
% 3.66/4.69  cnf(i_0_1993, axiom, (c_Polynomial_Odegree(v_pa____,tc_Complex_Ocomplex)=v_na____), cls_dpn_0, ['final']).
% 3.66/4.69  cnf(i_0_1994, axiom, (v_na____!=c_HOL_Ozero__class_Ozero(tc_nat)), cls_n0_0, ['final']).
% 3.66/4.69  cnf(i_0_1995, axiom, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_1996, axiom, (class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat)), clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_1997, 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']).
% 3.66/4.69  cnf(i_0_1998, axiom, (class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1, ['final']).
% 3.66/4.69  cnf(i_0_1999, axiom, (class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add, ['final']).
% 3.66/4.69  cnf(i_0_2000, axiom, (class_OrderedGroup_Omonoid__add(tc_nat)), clsarity_nat__OrderedGroup_Omonoid__add, ['final']).
% 3.66/4.69  cnf(i_0_2001, axiom, (class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict, ['final']).
% 3.66/4.69  cnf(i_0_2002, axiom, (class_HOL_Ozero(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__HOL_Ozero, ['final']).
% 3.66/4.69  cnf(i_0_2003, axiom, (class_HOL_Ozero(tc_nat)), clsarity_nat__HOL_Ozero, ['final']).
% 3.66/4.69  cnf(i_0_2004, axiom, (class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2005, axiom, (class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1, ['final']).
% 3.66/4.69  cnf(i_0_2006, axiom, (class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring, ['final']).
% 3.66/4.69  cnf(i_0_2007, axiom, (class_Ring__and__Field_Osemiring(tc_nat)), clsarity_nat__Ring__and__Field_Osemiring, ['final']).
% 3.66/4.69  cnf(i_0_2008, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2009, axiom, (class_OrderedGroup_Oab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Oab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2010, axiom, (class_Orderings_Opreorder(tc_nat)), clsarity_nat__Orderings_Opreorder, ['final']).
% 3.66/4.69  cnf(i_0_2011, axiom, (class_RealVector_Oreal__field(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__field, ['final']).
% 3.66/4.69  cnf(i_0_2012, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2013, axiom, (class_OrderedGroup_Ocancel__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Ocancel__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2014, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2015, axiom, (class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2016, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult, ['final']).
% 3.66/4.69  cnf(i_0_2017, axiom, (class_OrderedGroup_Ocomm__monoid__mult(tc_nat)), clsarity_nat__OrderedGroup_Ocomm__monoid__mult, ['final']).
% 3.66/4.69  cnf(i_0_2018, axiom, (class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult, ['final']).
% 3.66/4.69  cnf(i_0_2019, axiom, (class_OrderedGroup_Omonoid__mult(tc_nat)), clsarity_nat__OrderedGroup_Omonoid__mult, ['final']).
% 3.66/4.69  cnf(i_0_2020, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_2021, axiom, (class_OrderedGroup_Ocomm__monoid__add(tc_nat)), clsarity_nat__OrderedGroup_Ocomm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_2022, axiom, (class_Ring__and__Field_Oordered__semiring(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__semiring, ['final']).
% 3.66/4.69  cnf(i_0_2023, axiom, (class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add, ['final']).
% 3.66/4.69  cnf(i_0_2024, axiom, (class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors, ['final']).
% 3.66/4.69  cnf(i_0_2025, axiom, (class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)), clsarity_nat__OrderedGroup_Opordered__comm__monoid__add, ['final']).
% 3.66/4.69  cnf(i_0_2026, axiom, (class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0, ['final']).
% 3.66/4.69  cnf(i_0_2027, axiom, (class_Ring__and__Field_Ocomm__semiring__0(tc_nat)), clsarity_nat__Ring__and__Field_Ocomm__semiring__0, ['final']).
% 3.66/4.69  cnf(i_0_2028, axiom, (class_Ring__and__Field_Opordered__semiring(tc_nat)), clsarity_nat__Ring__and__Field_Opordered__semiring, ['final']).
% 3.66/4.69  cnf(i_0_2029, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring, ['final']).
% 3.66/4.69  cnf(i_0_2030, axiom, (class_Ring__and__Field_Ocomm__semiring(tc_nat)), clsarity_nat__Ring__and__Field_Ocomm__semiring, ['final']).
% 3.66/4.69  cnf(i_0_2031, axiom, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, ['final']).
% 3.66/4.69  cnf(i_0_2032, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult, ['final']).
% 3.66/4.69  cnf(i_0_2033, axiom, (class_OrderedGroup_Oab__semigroup__mult(tc_nat)), clsarity_nat__OrderedGroup_Oab__semigroup__mult, ['final']).
% 3.66/4.69  cnf(i_0_2034, axiom, (class_Ring__and__Field_Opordered__cancel__semiring(tc_nat)), clsarity_nat__Ring__and__Field_Opordered__cancel__semiring, ['final']).
% 3.66/4.69  cnf(i_0_2035, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)), clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2036, axiom, (class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)), clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le, ['final']).
% 3.66/4.69  cnf(i_0_2037, axiom, (class_Ring__and__Field_Oring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oring, ['final']).
% 3.66/4.69  cnf(i_0_2038, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1, ['final']).
% 3.66/4.69  cnf(i_0_2039, axiom, (class_Ring__and__Field_Ocomm__semiring__1(tc_nat)), clsarity_nat__Ring__and__Field_Ocomm__semiring__1, ['final']).
% 3.66/4.69  cnf(i_0_2040, axiom, (class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero, ['final']).
% 3.66/4.69  cnf(i_0_2041, axiom, (class_Ring__and__Field_Omult__zero(tc_nat)), clsarity_nat__Ring__and__Field_Omult__zero, ['final']).
% 3.66/4.69  cnf(i_0_2042, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors, ['final']).
% 3.66/4.69  cnf(i_0_2043, axiom, (class_Ring__and__Field_Ono__zero__divisors(tc_nat)), clsarity_nat__Ring__and__Field_Ono__zero__divisors, ['final']).
% 3.66/4.69  cnf(i_0_2044, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one, ['final']).
% 3.66/4.69  cnf(i_0_2045, axiom, (class_Ring__and__Field_Ozero__neq__one(tc_nat)), clsarity_nat__Ring__and__Field_Ozero__neq__one, ['final']).
% 3.66/4.69  cnf(i_0_2046, axiom, (class_Power_Opower(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Power_Opower, ['final']).
% 3.66/4.69  cnf(i_0_2047, axiom, (class_Power_Opower(tc_nat)), clsarity_nat__Power_Opower, ['final']).
% 3.66/4.69  cnf(i_0_2048, axiom, (class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0, ['final']).
% 3.66/4.69  cnf(i_0_2049, axiom, (class_Ring__and__Field_Osemiring__0(tc_nat)), clsarity_nat__Ring__and__Field_Osemiring__0, ['final']).
% 3.66/4.69  cnf(i_0_2050, axiom, (class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add, ['final']).
% 3.66/4.69  cnf(i_0_2051, axiom, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field, ['final']).
% 3.66/4.69  cnf(i_0_2052, axiom, (class_Ring__and__Field_Oordered__semidom(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__semidom, ['final']).
% 3.66/4.69  cnf(i_0_2053, axiom, (class_Ring__and__Field_Omult__mono1(tc_nat)), clsarity_nat__Ring__and__Field_Omult__mono1, ['final']).
% 3.66/4.69  cnf(i_0_2054, axiom, (class_Ring__and__Field_Omult__mono(tc_nat)), clsarity_nat__Ring__and__Field_Omult__mono, ['final']).
% 3.66/4.69  cnf(i_0_2055, axiom, (class_Int_Onumber__ring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Int_Onumber__ring, ['final']).
% 3.66/4.69  cnf(i_0_2056, axiom, (class_Ring__and__Field_Oordered__semiring__strict(tc_nat)), clsarity_nat__Ring__and__Field_Oordered__semiring__strict, ['final']).
% 3.66/4.69  cnf(i_0_2057, axiom, (class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ofield, ['final']).
% 3.66/4.69  cnf(i_0_2058, axiom, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring, ['final']).
% 3.66/4.69  cnf(i_0_2059, axiom, (class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero, ['final']).
% 3.66/4.69  cnf(i_0_2060, axiom, (class_Orderings_Olinorder(tc_nat)), clsarity_nat__Orderings_Olinorder, ['final']).
% 3.66/4.69  cnf(i_0_2061, axiom, (class_Orderings_Oorder(tc_nat)), clsarity_nat__Orderings_Oorder, ['final']).
% 3.66/4.69  cnf(i_0_2062, axiom, (class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring, ['final']).
% 3.66/4.69  cnf(i_0_2063, axiom, (class_Ring__and__Field_Odvd(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Odvd, ['final']).
% 3.66/4.69  cnf(i_0_2064, axiom, (class_Ring__and__Field_Odvd(tc_nat)), clsarity_nat__Ring__and__Field_Odvd, ['final']).
% 3.66/4.69  cnf(i_0_2065, axiom, (class_Divides_Osemiring__div(tc_nat)), clsarity_nat__Divides_Osemiring__div, ['final']).
% 3.66/4.69  cnf(i_0_2066, axiom, (class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)), clsarity_Complex__Ocomplex__Ring__and__Field_Oidom, ['final']).
% 3.66/4.69  cnf(i_0_2067, axiom, (X1=X1)).
% 3.66/4.69  cnf(i_0_2068, axiom, (X1=X2|X2!=X1)).
% 3.66/4.69  cnf(i_0_2069, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 3.66/4.69  cnf(i_0_2070, axiom, (X1!=X2|c_HOL_Ominus__class_Ominus(X1,X3,X4)=c_HOL_Ominus__class_Ominus(X2,X3,X4))).
% 3.66/4.69  cnf(i_0_2071, axiom, (X1!=X2|c_HOL_Ominus__class_Ominus(X3,X1,X4)=c_HOL_Ominus__class_Ominus(X3,X2,X4))).
% 3.66/4.69  cnf(i_0_2072, axiom, (X1!=X2|c_HOL_Ominus__class_Ominus(X3,X4,X1)=c_HOL_Ominus__class_Ominus(X3,X4,X2))).
% 3.66/4.69  cnf(i_0_2073, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X1,X3,X4)=c_Divides_Odiv__class_Omod(X2,X3,X4))).
% 3.66/4.69  cnf(i_0_2074, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X3,X1,X4)=c_Divides_Odiv__class_Omod(X3,X2,X4))).
% 3.66/4.69  cnf(i_0_2075, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X3,X4,X1)=c_Divides_Odiv__class_Omod(X3,X4,X2))).
% 3.66/4.69  cnf(i_0_2076, axiom, (X1!=X2|c_HOL_Oone__class_Oone(X1)=c_HOL_Oone__class_Oone(X2))).
% 3.66/4.69  cnf(i_0_2077, axiom, (X1!=X2|c_Power_Opower__class_Opower(X1,X3,X4)=c_Power_Opower__class_Opower(X2,X3,X4))).
% 3.66/4.69  cnf(i_0_2078, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X1,X4)=c_Power_Opower__class_Opower(X3,X2,X4))).
% 3.66/4.69  cnf(i_0_2079, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X4,X1)=c_Power_Opower__class_Opower(X3,X4,X2))).
% 3.66/4.69  cnf(i_0_2080, axiom, (X1!=X2|c_Polynomial_Odegree(X1,X3)=c_Polynomial_Odegree(X2,X3))).
% 3.66/4.69  cnf(i_0_2081, axiom, (X1!=X2|c_Polynomial_Odegree(X3,X1)=c_Polynomial_Odegree(X3,X2))).
% 3.66/4.69  cnf(i_0_2082, axiom, (X1!=X2|c_Polynomial_Opoly(X1,X3,X4)=c_Polynomial_Opoly(X2,X3,X4))).
% 3.66/4.69  cnf(i_0_2083, axiom, (X1!=X2|c_Polynomial_Opoly(X3,X1,X4)=c_Polynomial_Opoly(X3,X2,X4))).
% 3.66/4.69  cnf(i_0_2084, axiom, (X1!=X2|c_Polynomial_Opoly(X3,X4,X1)=c_Polynomial_Opoly(X3,X4,X2))).
% 3.66/4.69  cnf(i_0_2085, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X1,X3,X4)=c_Polynomial_Opoly__gcd(X2,X3,X4))).
% 3.66/4.69  cnf(i_0_2086, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X3,X1,X4)=c_Polynomial_Opoly__gcd(X3,X2,X4))).
% 3.66/4.69  cnf(i_0_2087, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X3,X4,X1)=c_Polynomial_Opoly__gcd(X3,X4,X2))).
% 3.66/4.70  cnf(i_0_2088, axiom, (X1!=X2|c_Polynomial_Osmult(X1,X3,X4)=c_Polynomial_Osmult(X2,X3,X4))).
% 3.66/4.70  cnf(i_0_2089, axiom, (X1!=X2|c_Polynomial_Osmult(X3,X1,X4)=c_Polynomial_Osmult(X3,X2,X4))).
% 3.66/4.70  cnf(i_0_2090, axiom, (X1!=X2|c_Polynomial_Osmult(X3,X4,X1)=c_Polynomial_Osmult(X3,X4,X2))).
% 3.66/4.70  cnf(i_0_2091, axiom, (X1!=X2|c_Polynomial_Oorder(X1,X3,X4)=c_Polynomial_Oorder(X2,X3,X4))).
% 3.70/4.70  cnf(i_0_2092, axiom, (X1!=X2|c_Polynomial_Oorder(X3,X1,X4)=c_Polynomial_Oorder(X3,X2,X4))).
% 3.70/4.70  cnf(i_0_2093, axiom, (X1!=X2|c_Polynomial_Oorder(X3,X4,X1)=c_Polynomial_Oorder(X3,X4,X2))).
% 3.70/4.70  cnf(i_0_2094, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X1,X3,X4)=c_HOL_Otimes__class_Otimes(X2,X3,X4))).
% 3.70/4.70  cnf(i_0_2095, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X1,X4)=c_HOL_Otimes__class_Otimes(X3,X2,X4))).
% 3.70/4.70  cnf(i_0_2096, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X4,X1)=c_HOL_Otimes__class_Otimes(X3,X4,X2))).
% 3.70/4.70  cnf(i_0_2097, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)=c_HOL_Oplus__class_Oplus(X2,X3,X4))).
% 3.70/4.70  cnf(i_0_2098, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)=c_HOL_Oplus__class_Oplus(X3,X2,X4))).
% 3.70/4.70  cnf(i_0_2099, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X4,X1)=c_HOL_Oplus__class_Oplus(X3,X4,X2))).
% 3.70/4.70  cnf(i_0_2100, axiom, (X1!=X2|c_HOL_Oabs__class_Oabs(X1,X3)=c_HOL_Oabs__class_Oabs(X2,X3))).
% 3.70/4.70  cnf(i_0_2101, axiom, (X1!=X2|c_HOL_Oabs__class_Oabs(X3,X1)=c_HOL_Oabs__class_Oabs(X3,X2))).
% 3.70/4.70  cnf(i_0_2102, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X1,X3,X4)=c_HOL_Oinverse__class_Odivide(X2,X3,X4))).
% 3.70/4.70  cnf(i_0_2103, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X1,X4)=c_HOL_Oinverse__class_Odivide(X3,X2,X4))).
% 3.70/4.70  cnf(i_0_2104, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X4,X1)=c_HOL_Oinverse__class_Odivide(X3,X4,X2))).
% 3.70/4.70  cnf(i_0_2105, axiom, (X1!=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)=c_HOL_Oinverse__class_Oinverse(X2,X3))).
% 3.70/4.70  cnf(i_0_2106, axiom, (X1!=X2|c_HOL_Oinverse__class_Oinverse(X3,X1)=c_HOL_Oinverse__class_Oinverse(X3,X2))).
% 3.70/4.70  cnf(i_0_2107, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)=c_HOL_Ouminus__class_Ouminus(X2,X3))).
% 3.70/4.70  cnf(i_0_2108, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X3,X1)=c_HOL_Ouminus__class_Ouminus(X3,X2))).
% 3.70/4.70  cnf(i_0_2109, axiom, (X1!=X2|c_HOL_Ozero__class_Ozero(X1)=c_HOL_Ozero__class_Ozero(X2))).
% 3.70/4.70  cnf(i_0_2110, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X1,X3,X4)=c_Divides_Odiv__class_Odiv(X2,X3,X4))).
% 3.70/4.70  cnf(i_0_2111, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X3,X1,X4)=c_Divides_Odiv__class_Odiv(X3,X2,X4))).
% 3.70/4.70  cnf(i_0_2112, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X3,X4,X1)=c_Divides_Odiv__class_Odiv(X3,X4,X2))).
% 3.70/4.70  cnf(i_0_2113, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra(X1)|class_RealVector_Oreal__normed__algebra(X2))).
% 3.70/4.70  cnf(i_0_2114, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__ring(X1)|class_Ring__and__Field_Ocomm__ring(X2))).
% 3.70/4.70  cnf(i_0_2115, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__ring__strict(X1)|class_Ring__and__Field_Oordered__ring__strict(X2))).
% 3.70/4.70  cnf(i_0_2116, axiom, (X1!=X2|~class_Ring__and__Field_Oring(X1)|class_Ring__and__Field_Oring(X2))).
% 3.70/4.70  cnf(i_0_2117, axiom, (X1!=X2|~class_Divides_Osemiring__div(X1)|class_Divides_Osemiring__div(X2))).
% 3.70/4.70  cnf(i_0_2118, axiom, (X1!=X2|~class_Ring__and__Field_Odivision__ring(X1)|class_Ring__and__Field_Odivision__ring(X2))).
% 3.70/4.70  cnf(i_0_2119, axiom, (X1!=X2|~class_Ring__and__Field_Ofield(X1)|class_Ring__and__Field_Ofield(X2))).
% 3.70/4.70  cnf(i_0_2120, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring(X1)|class_Ring__and__Field_Osemiring(X2))).
% 3.70/4.70  cnf(i_0_2121, axiom, (X1!=X2|~class_Ring__and__Field_Oidom(X1)|class_Ring__and__Field_Oidom(X2))).
% 3.70/4.70  cnf(i_0_2122, axiom, (X1!=X2|~class_Int_Onumber__ring(X1)|class_Int_Onumber__ring(X2))).
% 3.70/4.70  cnf(i_0_2123, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__idom(X1)|class_Ring__and__Field_Oordered__idom(X2))).
% 3.70/4.70  cnf(i_0_2124, axiom, (X1!=X2|~c_lessequals(X1,X3,X4)|c_lessequals(X2,X3,X4))).
% 3.70/4.70  cnf(i_0_2125, axiom, (X1!=X2|~c_lessequals(X3,X1,X4)|c_lessequals(X3,X2,X4))).
% 3.70/4.70  cnf(i_0_2126, axiom, (X1!=X2|~c_lessequals(X3,X4,X1)|c_lessequals(X3,X4,X2))).
% 3.70/4.70  cnf(i_0_2127, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__field(X1)|class_Ring__and__Field_Oordered__field(X2))).
% 3.70/4.70  cnf(i_0_2128, axiom, (X1!=X2|~class_Ring__and__Field_Odivision__by__zero(X1)|class_Ring__and__Field_Odivision__by__zero(X2))).
% 3.70/4.70  cnf(i_0_2129, axiom, (X1!=X2|~class_Divides_Oring__div(X1)|class_Divides_Oring__div(X2))).
% 3.70/4.71  cnf(i_0_2130, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semidom(X1)|class_Ring__and__Field_Oordered__semidom(X2))).
% 3.70/4.71  cnf(i_0_2131, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)|class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 3.70/4.71  cnf(i_0_2132, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__semiring(X1)|class_Ring__and__Field_Opordered__semiring(X2))).
% 3.70/4.71  cnf(i_0_2133, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semiring__strict(X1)|class_Ring__and__Field_Oordered__semiring__strict(X2))).
% 3.70/4.71  cnf(i_0_2134, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semiring(X1)|class_Ring__and__Field_Oordered__semiring(X2))).
% 3.70/4.71  cnf(i_0_2135, axiom, (X1!=X2|~class_OrderedGroup_Oab__group__add(X1)|class_OrderedGroup_Oab__group__add(X2))).
% 3.70/4.71  cnf(i_0_2136, axiom, (X1!=X2|~class_Ring__and__Field_Olordered__ring(X1)|class_Ring__and__Field_Olordered__ring(X2))).
% 3.70/4.71  cnf(i_0_2137, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 3.70/4.71  cnf(i_0_2138, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__group__add(X1)|class_OrderedGroup_Opordered__ab__group__add(X2))).
% 3.70/4.71  cnf(i_0_2139, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2))).
% 3.70/4.71  cnf(i_0_2140, axiom, (X1!=X2|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)|class_OrderedGroup_Olordered__ab__group__add__abs(X2))).
% 3.70/4.71  cnf(i_0_2141, axiom, (X1!=X2|~class_Ring__and__Field_Omult__mono1(X1)|class_Ring__and__Field_Omult__mono1(X2))).
% 3.70/4.71  cnf(i_0_2142, axiom, (X1!=X2|~class_Ring__and__Field_Omult__mono(X1)|class_Ring__and__Field_Omult__mono(X2))).
% 3.70/4.71  cnf(i_0_2143, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|class_Ring__and__Field_Oordered__comm__semiring__strict(X2))).
% 3.70/4.71  cnf(i_0_2144, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|class_OrderedGroup_Opordered__ab__semigroup__add(X2))).
% 3.70/4.71  cnf(i_0_2145, axiom, (X1!=X2|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2))).
% 3.70/4.71  cnf(i_0_2146, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1)|class_OrderedGroup_Ocomm__monoid__mult(X2))).
% 3.70/4.71  cnf(i_0_2147, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring(X1)|class_Ring__and__Field_Ocomm__semiring(X2))).
% 3.70/4.71  cnf(i_0_2148, axiom, (X1!=X2|~class_RealVector_Oreal__field(X1)|class_RealVector_Oreal__field(X2))).
% 3.70/4.71  cnf(i_0_2149, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1(X1)|class_Ring__and__Field_Oring__1(X2))).
% 3.70/4.71  cnf(i_0_2150, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__ring__abs(X1)|class_Ring__and__Field_Opordered__ring__abs(X2))).
% 3.70/4.71  cnf(i_0_2151, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|class_Ring__and__Field_Opordered__cancel__semiring(X2))).
% 3.70/4.71  cnf(i_0_2152, axiom, (X1!=X2|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 3.70/4.71  cnf(i_0_2153, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__add(X1)|class_OrderedGroup_Ocomm__monoid__add(X2))).
% 3.70/4.71  cnf(i_0_2154, axiom, (X1!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1)|class_OrderedGroup_Olordered__ab__group__add(X2))).
% 3.70/4.71  cnf(i_0_2155, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__ring__1(X1)|class_Ring__and__Field_Ocomm__ring__1(X2))).
% 3.70/4.71  cnf(i_0_2156, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring__0(X1)|class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 3.70/4.71  cnf(i_0_2157, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__mult(X1)|class_OrderedGroup_Omonoid__mult(X2))).
% 3.70/4.71  cnf(i_0_2158, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__mult(X1)|class_OrderedGroup_Oab__semigroup__mult(X2))).
% 3.70/4.71  cnf(i_0_2159, axiom, (X1!=X2|~class_RealVector_Oreal__normed__field(X1)|class_RealVector_Oreal__normed__field(X2))).
% 3.70/4.71  cnf(i_0_2160, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__add(X1)|class_OrderedGroup_Oab__semigroup__add(X2))).
% 3.70/4.71  cnf(i_0_2161, axiom, (X1!=X2|~class_Orderings_Opreorder(X1)|class_Orderings_Opreorder(X2))).
% 3.70/4.71  cnf(i_0_2162, axiom, (X1!=X2|~class_Orderings_Oorder(X1)|class_Orderings_Oorder(X2))).
% 3.70/4.71  cnf(i_0_2163, axiom, (X1!=X2|~class_OrderedGroup_Ogroup__add(X1)|class_OrderedGroup_Ogroup__add(X2))).
% 3.70/4.71  cnf(i_0_2164, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 3.70/4.71  cnf(i_0_2165, axiom, (X1!=X2|~class_OrderedGroup_Oordered__ab__group__add(X1)|class_OrderedGroup_Oordered__ab__group__add(X2))).
% 3.70/4.71  cnf(i_0_2166, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__semigroup__add(X1)|class_OrderedGroup_Ocancel__semigroup__add(X2))).
% 3.70/4.71  cnf(i_0_2167, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|class_OrderedGroup_Ocancel__ab__semigroup__add(X2))).
% 3.70/4.71  cnf(i_0_2168, axiom, (X1!=X2|~class_Orderings_Olinorder(X1)|class_Orderings_Olinorder(X2))).
% 3.70/4.71  cnf(i_0_2169, axiom, (X1!=X2|~class_Ring__and__Field_Oabs__if(X1)|class_Ring__and__Field_Oabs__if(X2))).
% 3.70/4.71  cnf(i_0_2170, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__ring(X1)|class_Ring__and__Field_Opordered__ring(X2))).
% 3.70/4.71  cnf(i_0_2171, axiom, (X1!=X2|~class_Ring__and__Field_Ozero__neq__one(X1)|class_Ring__and__Field_Ozero__neq__one(X2))).
% 3.70/4.72  cnf(i_0_2172, axiom, (X1!=X2|~class_Ring__and__Field_Ono__zero__divisors(X1)|class_Ring__and__Field_Ono__zero__divisors(X2))).
% 3.70/4.72  cnf(i_0_2173, axiom, (X1!=X2|~class_Ring__and__Field_Omult__zero(X1)|class_Ring__and__Field_Omult__zero(X2))).
% 3.70/4.72  cnf(i_0_2174, axiom, (X1!=X2|~class_Power_Opower(X1)|class_Power_Opower(X2))).
% 3.70/4.72  cnf(i_0_2175, axiom, (X1!=X2|~class_Ring__and__Field_Oring__no__zero__divisors(X1)|class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 3.70/4.72  cnf(i_0_2176, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 3.70/4.72  cnf(i_0_2177, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring__0(X1)|class_Ring__and__Field_Osemiring__0(X2))).
% 3.70/4.72  cnf(i_0_2178, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__add(X1)|class_OrderedGroup_Omonoid__add(X2))).
% 3.70/4.72  cnf(i_0_2179, axiom, (X1!=X2|~class_Lattices_Oboolean__algebra(X1)|class_Lattices_Oboolean__algebra(X2))).
% 3.70/4.72  cnf(i_0_2180, axiom, (X1!=X2|~class_HOL_Ozero(X1)|class_HOL_Ozero(X2))).
% 3.70/4.72  cnf(i_0_2181, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X1,X3,X4)|c_HOL_Oord__class_Oless(X2,X3,X4))).
% 3.70/4.72  cnf(i_0_2182, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X1,X4)|c_HOL_Oord__class_Oless(X3,X2,X4))).
% 3.70/4.72  cnf(i_0_2183, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X4,X1)|c_HOL_Oord__class_Oless(X3,X4,X2))).
% 3.70/4.72  cnf(i_0_2184, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)|class_OrderedGroup_Ocancel__comm__monoid__add(X2))).
% 3.70/4.72  cnf(i_0_2185, axiom, (X1!=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X4))).
% 3.70/4.72  cnf(i_0_2186, axiom, (X1!=X2|~c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X4)|c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4))).
% 3.70/4.72  cnf(i_0_2187, axiom, (X1!=X2|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2))).
% 3.70/4.72  cnf(i_0_2188, axiom, (X1!=X2|~class_Ring__and__Field_Odvd(X1)|class_Ring__and__Field_Odvd(X2))).
% 4.81/5.80  cnf(i_0_2067, axiom, (X1=X1)).
% 4.81/5.80  cnf(i_0_2068, axiom, (X1=X2|X2!=X1)).
% 4.81/5.80  cnf(i_0_2069, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 4.81/5.80  cnf(i_0_2070, axiom, (X1!=X2|c_HOL_Ominus__class_Ominus(X1,X3,X4)=c_HOL_Ominus__class_Ominus(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2071, axiom, (X1!=X2|c_HOL_Ominus__class_Ominus(X3,X1,X4)=c_HOL_Ominus__class_Ominus(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2072, axiom, (X1!=X2|c_HOL_Ominus__class_Ominus(X3,X4,X1)=c_HOL_Ominus__class_Ominus(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2073, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X1,X3,X4)=c_Divides_Odiv__class_Omod(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2074, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X3,X1,X4)=c_Divides_Odiv__class_Omod(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2075, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X3,X4,X1)=c_Divides_Odiv__class_Omod(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2076, axiom, (X1!=X2|c_HOL_Oone__class_Oone(X1)=c_HOL_Oone__class_Oone(X2))).
% 4.81/5.80  cnf(i_0_2077, axiom, (X1!=X2|c_Power_Opower__class_Opower(X1,X3,X4)=c_Power_Opower__class_Opower(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2078, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X1,X4)=c_Power_Opower__class_Opower(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2079, axiom, (X1!=X2|c_Power_Opower__class_Opower(X3,X4,X1)=c_Power_Opower__class_Opower(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2080, axiom, (X1!=X2|c_Polynomial_Odegree(X1,X3)=c_Polynomial_Odegree(X2,X3))).
% 4.81/5.80  cnf(i_0_2081, axiom, (X1!=X2|c_Polynomial_Odegree(X3,X1)=c_Polynomial_Odegree(X3,X2))).
% 4.81/5.80  cnf(i_0_2082, axiom, (X1!=X2|c_Polynomial_Opoly(X1,X3,X4)=c_Polynomial_Opoly(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2083, axiom, (X1!=X2|c_Polynomial_Opoly(X3,X1,X4)=c_Polynomial_Opoly(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2084, axiom, (X1!=X2|c_Polynomial_Opoly(X3,X4,X1)=c_Polynomial_Opoly(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2085, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X1,X3,X4)=c_Polynomial_Opoly__gcd(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2086, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X3,X1,X4)=c_Polynomial_Opoly__gcd(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2087, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X3,X4,X1)=c_Polynomial_Opoly__gcd(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2088, axiom, (X1!=X2|c_Polynomial_Osmult(X1,X3,X4)=c_Polynomial_Osmult(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2089, axiom, (X1!=X2|c_Polynomial_Osmult(X3,X1,X4)=c_Polynomial_Osmult(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2090, axiom, (X1!=X2|c_Polynomial_Osmult(X3,X4,X1)=c_Polynomial_Osmult(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2091, axiom, (X1!=X2|c_Polynomial_Oorder(X1,X3,X4)=c_Polynomial_Oorder(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2092, axiom, (X1!=X2|c_Polynomial_Oorder(X3,X1,X4)=c_Polynomial_Oorder(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2093, axiom, (X1!=X2|c_Polynomial_Oorder(X3,X4,X1)=c_Polynomial_Oorder(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2094, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X1,X3,X4)=c_HOL_Otimes__class_Otimes(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2095, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X1,X4)=c_HOL_Otimes__class_Otimes(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2096, axiom, (X1!=X2|c_HOL_Otimes__class_Otimes(X3,X4,X1)=c_HOL_Otimes__class_Otimes(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2097, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X1,X3,X4)=c_HOL_Oplus__class_Oplus(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2098, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X1,X4)=c_HOL_Oplus__class_Oplus(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2099, axiom, (X1!=X2|c_HOL_Oplus__class_Oplus(X3,X4,X1)=c_HOL_Oplus__class_Oplus(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2100, axiom, (X1!=X2|c_HOL_Oabs__class_Oabs(X1,X3)=c_HOL_Oabs__class_Oabs(X2,X3))).
% 4.81/5.80  cnf(i_0_2101, axiom, (X1!=X2|c_HOL_Oabs__class_Oabs(X3,X1)=c_HOL_Oabs__class_Oabs(X3,X2))).
% 4.81/5.80  cnf(i_0_2102, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X1,X3,X4)=c_HOL_Oinverse__class_Odivide(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2103, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X1,X4)=c_HOL_Oinverse__class_Odivide(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2104, axiom, (X1!=X2|c_HOL_Oinverse__class_Odivide(X3,X4,X1)=c_HOL_Oinverse__class_Odivide(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2105, axiom, (X1!=X2|c_HOL_Oinverse__class_Oinverse(X1,X3)=c_HOL_Oinverse__class_Oinverse(X2,X3))).
% 4.81/5.80  cnf(i_0_2106, axiom, (X1!=X2|c_HOL_Oinverse__class_Oinverse(X3,X1)=c_HOL_Oinverse__class_Oinverse(X3,X2))).
% 4.81/5.80  cnf(i_0_2107, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X1,X3)=c_HOL_Ouminus__class_Ouminus(X2,X3))).
% 4.81/5.80  cnf(i_0_2108, axiom, (X1!=X2|c_HOL_Ouminus__class_Ouminus(X3,X1)=c_HOL_Ouminus__class_Ouminus(X3,X2))).
% 4.81/5.80  cnf(i_0_2109, axiom, (X1!=X2|c_HOL_Ozero__class_Ozero(X1)=c_HOL_Ozero__class_Ozero(X2))).
% 4.81/5.80  cnf(i_0_2110, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X1,X3,X4)=c_Divides_Odiv__class_Odiv(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2111, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X3,X1,X4)=c_Divides_Odiv__class_Odiv(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2112, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X3,X4,X1)=c_Divides_Odiv__class_Odiv(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2113, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra(X1)|class_RealVector_Oreal__normed__algebra(X2))).
% 4.81/5.80  cnf(i_0_2114, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__ring(X1)|class_Ring__and__Field_Ocomm__ring(X2))).
% 4.81/5.80  cnf(i_0_2115, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__ring__strict(X1)|class_Ring__and__Field_Oordered__ring__strict(X2))).
% 4.81/5.80  cnf(i_0_2116, axiom, (X1!=X2|~class_Ring__and__Field_Oring(X1)|class_Ring__and__Field_Oring(X2))).
% 4.81/5.80  cnf(i_0_2117, axiom, (X1!=X2|~class_Divides_Osemiring__div(X1)|class_Divides_Osemiring__div(X2))).
% 4.81/5.80  cnf(i_0_2118, axiom, (X1!=X2|~class_Ring__and__Field_Odivision__ring(X1)|class_Ring__and__Field_Odivision__ring(X2))).
% 4.81/5.80  cnf(i_0_2119, axiom, (X1!=X2|~class_Ring__and__Field_Ofield(X1)|class_Ring__and__Field_Ofield(X2))).
% 4.81/5.80  cnf(i_0_2120, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring(X1)|class_Ring__and__Field_Osemiring(X2))).
% 4.81/5.80  cnf(i_0_2121, axiom, (X1!=X2|~class_Ring__and__Field_Oidom(X1)|class_Ring__and__Field_Oidom(X2))).
% 4.81/5.80  cnf(i_0_2122, axiom, (X1!=X2|~class_Int_Onumber__ring(X1)|class_Int_Onumber__ring(X2))).
% 4.81/5.80  cnf(i_0_2123, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__idom(X1)|class_Ring__and__Field_Oordered__idom(X2))).
% 4.81/5.80  cnf(i_0_2124, axiom, (X1!=X2|~c_lessequals(X1,X3,X4)|c_lessequals(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2125, axiom, (X1!=X2|~c_lessequals(X3,X1,X4)|c_lessequals(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2126, axiom, (X1!=X2|~c_lessequals(X3,X4,X1)|c_lessequals(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2127, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__field(X1)|class_Ring__and__Field_Oordered__field(X2))).
% 4.81/5.80  cnf(i_0_2128, axiom, (X1!=X2|~class_Ring__and__Field_Odivision__by__zero(X1)|class_Ring__and__Field_Odivision__by__zero(X2))).
% 4.81/5.80  cnf(i_0_2129, axiom, (X1!=X2|~class_Divides_Oring__div(X1)|class_Divides_Oring__div(X2))).
% 4.81/5.80  cnf(i_0_2130, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semidom(X1)|class_Ring__and__Field_Oordered__semidom(X2))).
% 4.81/5.80  cnf(i_0_2131, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring__1(X1)|class_Ring__and__Field_Ocomm__semiring__1(X2))).
% 4.81/5.80  cnf(i_0_2132, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__semiring(X1)|class_Ring__and__Field_Opordered__semiring(X2))).
% 4.81/5.80  cnf(i_0_2133, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semiring__strict(X1)|class_Ring__and__Field_Oordered__semiring__strict(X2))).
% 4.81/5.80  cnf(i_0_2134, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__semiring(X1)|class_Ring__and__Field_Oordered__semiring(X2))).
% 4.81/5.80  cnf(i_0_2135, axiom, (X1!=X2|~class_OrderedGroup_Oab__group__add(X1)|class_OrderedGroup_Oab__group__add(X2))).
% 4.81/5.80  cnf(i_0_2136, axiom, (X1!=X2|~class_Ring__and__Field_Olordered__ring(X1)|class_Ring__and__Field_Olordered__ring(X2))).
% 4.81/5.80  cnf(i_0_2137, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__group__add__abs(X1)|class_OrderedGroup_Opordered__ab__group__add__abs(X2))).
% 4.81/5.80  cnf(i_0_2138, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__group__add(X1)|class_OrderedGroup_Opordered__ab__group__add(X2))).
% 4.81/5.80  cnf(i_0_2139, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2))).
% 4.81/5.80  cnf(i_0_2140, axiom, (X1!=X2|~class_OrderedGroup_Olordered__ab__group__add__abs(X1)|class_OrderedGroup_Olordered__ab__group__add__abs(X2))).
% 4.81/5.80  cnf(i_0_2141, axiom, (X1!=X2|~class_Ring__and__Field_Omult__mono1(X1)|class_Ring__and__Field_Omult__mono1(X2))).
% 4.81/5.80  cnf(i_0_2142, axiom, (X1!=X2|~class_Ring__and__Field_Omult__mono(X1)|class_Ring__and__Field_Omult__mono(X2))).
% 4.81/5.80  cnf(i_0_2143, axiom, (X1!=X2|~class_Ring__and__Field_Oordered__comm__semiring__strict(X1)|class_Ring__and__Field_Oordered__comm__semiring__strict(X2))).
% 4.81/5.80  cnf(i_0_2144, axiom, (X1!=X2|~class_OrderedGroup_Opordered__ab__semigroup__add(X1)|class_OrderedGroup_Opordered__ab__semigroup__add(X2))).
% 4.81/5.80  cnf(i_0_2145, axiom, (X1!=X2|~class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)|class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2))).
% 4.81/5.80  cnf(i_0_2146, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__mult(X1)|class_OrderedGroup_Ocomm__monoid__mult(X2))).
% 4.81/5.80  cnf(i_0_2147, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring(X1)|class_Ring__and__Field_Ocomm__semiring(X2))).
% 4.81/5.80  cnf(i_0_2148, axiom, (X1!=X2|~class_RealVector_Oreal__field(X1)|class_RealVector_Oreal__field(X2))).
% 4.81/5.80  cnf(i_0_2149, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1(X1)|class_Ring__and__Field_Oring__1(X2))).
% 4.81/5.80  cnf(i_0_2150, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__ring__abs(X1)|class_Ring__and__Field_Opordered__ring__abs(X2))).
% 4.81/5.80  cnf(i_0_2151, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__cancel__semiring(X1)|class_Ring__and__Field_Opordered__cancel__semiring(X2))).
% 4.81/5.80  cnf(i_0_2152, axiom, (X1!=X2|~class_OrderedGroup_Opordered__comm__monoid__add(X1)|class_OrderedGroup_Opordered__comm__monoid__add(X2))).
% 4.81/5.80  cnf(i_0_2153, axiom, (X1!=X2|~class_OrderedGroup_Ocomm__monoid__add(X1)|class_OrderedGroup_Ocomm__monoid__add(X2))).
% 4.81/5.80  cnf(i_0_2154, axiom, (X1!=X2|~class_OrderedGroup_Olordered__ab__group__add(X1)|class_OrderedGroup_Olordered__ab__group__add(X2))).
% 4.81/5.80  cnf(i_0_2155, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__ring__1(X1)|class_Ring__and__Field_Ocomm__ring__1(X2))).
% 4.81/5.80  cnf(i_0_2156, axiom, (X1!=X2|~class_Ring__and__Field_Ocomm__semiring__0(X1)|class_Ring__and__Field_Ocomm__semiring__0(X2))).
% 4.81/5.80  cnf(i_0_2157, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__mult(X1)|class_OrderedGroup_Omonoid__mult(X2))).
% 4.81/5.80  cnf(i_0_2158, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__mult(X1)|class_OrderedGroup_Oab__semigroup__mult(X2))).
% 4.81/5.80  cnf(i_0_2159, axiom, (X1!=X2|~class_RealVector_Oreal__normed__field(X1)|class_RealVector_Oreal__normed__field(X2))).
% 4.81/5.80  cnf(i_0_2160, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__add(X1)|class_OrderedGroup_Oab__semigroup__add(X2))).
% 4.81/5.80  cnf(i_0_2161, axiom, (X1!=X2|~class_Orderings_Opreorder(X1)|class_Orderings_Opreorder(X2))).
% 4.81/5.80  cnf(i_0_2162, axiom, (X1!=X2|~class_Orderings_Oorder(X1)|class_Orderings_Oorder(X2))).
% 4.81/5.80  cnf(i_0_2163, axiom, (X1!=X2|~class_OrderedGroup_Ogroup__add(X1)|class_OrderedGroup_Ogroup__add(X2))).
% 4.81/5.80  cnf(i_0_2164, axiom, (X1!=X2|~class_OrderedGroup_Oab__semigroup__idem__mult(X1)|class_OrderedGroup_Oab__semigroup__idem__mult(X2))).
% 4.81/5.80  cnf(i_0_2165, axiom, (X1!=X2|~class_OrderedGroup_Oordered__ab__group__add(X1)|class_OrderedGroup_Oordered__ab__group__add(X2))).
% 4.81/5.80  cnf(i_0_2166, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__semigroup__add(X1)|class_OrderedGroup_Ocancel__semigroup__add(X2))).
% 4.81/5.80  cnf(i_0_2167, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__ab__semigroup__add(X1)|class_OrderedGroup_Ocancel__ab__semigroup__add(X2))).
% 4.81/5.80  cnf(i_0_2168, axiom, (X1!=X2|~class_Orderings_Olinorder(X1)|class_Orderings_Olinorder(X2))).
% 4.81/5.80  cnf(i_0_2169, axiom, (X1!=X2|~class_Ring__and__Field_Oabs__if(X1)|class_Ring__and__Field_Oabs__if(X2))).
% 4.81/5.80  cnf(i_0_2170, axiom, (X1!=X2|~class_Ring__and__Field_Opordered__ring(X1)|class_Ring__and__Field_Opordered__ring(X2))).
% 4.81/5.80  cnf(i_0_2171, axiom, (X1!=X2|~class_Ring__and__Field_Ozero__neq__one(X1)|class_Ring__and__Field_Ozero__neq__one(X2))).
% 4.81/5.80  cnf(i_0_2172, axiom, (X1!=X2|~class_Ring__and__Field_Ono__zero__divisors(X1)|class_Ring__and__Field_Ono__zero__divisors(X2))).
% 4.81/5.80  cnf(i_0_2173, axiom, (X1!=X2|~class_Ring__and__Field_Omult__zero(X1)|class_Ring__and__Field_Omult__zero(X2))).
% 4.81/5.80  cnf(i_0_2174, axiom, (X1!=X2|~class_Power_Opower(X1)|class_Power_Opower(X2))).
% 4.81/5.80  cnf(i_0_2175, axiom, (X1!=X2|~class_Ring__and__Field_Oring__no__zero__divisors(X1)|class_Ring__and__Field_Oring__no__zero__divisors(X2))).
% 4.81/5.80  cnf(i_0_2176, axiom, (X1!=X2|~class_Ring__and__Field_Oring__1__no__zero__divisors(X1)|class_Ring__and__Field_Oring__1__no__zero__divisors(X2))).
% 4.81/5.80  cnf(i_0_2177, axiom, (X1!=X2|~class_Ring__and__Field_Osemiring__0(X1)|class_Ring__and__Field_Osemiring__0(X2))).
% 4.81/5.80  cnf(i_0_2178, axiom, (X1!=X2|~class_OrderedGroup_Omonoid__add(X1)|class_OrderedGroup_Omonoid__add(X2))).
% 4.81/5.80  cnf(i_0_2179, axiom, (X1!=X2|~class_Lattices_Oboolean__algebra(X1)|class_Lattices_Oboolean__algebra(X2))).
% 4.81/5.80  cnf(i_0_2180, axiom, (X1!=X2|~class_HOL_Ozero(X1)|class_HOL_Ozero(X2))).
% 4.81/5.80  cnf(i_0_2181, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X1,X3,X4)|c_HOL_Oord__class_Oless(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2182, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X1,X4)|c_HOL_Oord__class_Oless(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2183, axiom, (X1!=X2|~c_HOL_Oord__class_Oless(X3,X4,X1)|c_HOL_Oord__class_Oless(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2184, axiom, (X1!=X2|~class_OrderedGroup_Ocancel__comm__monoid__add(X1)|class_OrderedGroup_Ocancel__comm__monoid__add(X2))).
% 4.81/5.80  cnf(i_0_2185, axiom, (X1!=X2|~c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)|c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X4))).
% 4.81/5.80  cnf(i_0_2186, axiom, (X1!=X2|~c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X4)|c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4))).
% 4.81/5.80  cnf(i_0_2187, axiom, (X1!=X2|~c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X1)|c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2))).
% 4.81/5.80  cnf(i_0_2188, axiom, (X1!=X2|~class_Ring__and__Field_Odvd(X1)|class_Ring__and__Field_Odvd(X2))).
% 4.81/5.80  cnf(i_0_2189, plain, (~class_Ring__and__Field_Oring(X1)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,X1),X3,X1),X4,X1)=X4), inference(equality_inference,[],[1059])).
% 4.81/5.80  cnf(i_0_2190, plain, (~class_Ring__and__Field_Oring(X1)|X2=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X3,X1),X4,X1),X2,X1)), inference(equality_inference,[],[1060])).
% 4.81/5.80  cnf(i_0_2191, plain, (~class_Int_Onumber__ring(X1)|X2=X2|X3=X4|~class_Ring__and__Field_Oidom(X1)), inference(equality_inference,[],[1063])).
% 4.81/5.80  cnf(i_0_2192, plain, (~class_Ring__and__Field_Oidom(X1)|~class_Int_Onumber__ring(X1)|X2=X2|X3=c_HOL_Ozero__class_Ozero(X1)), inference(equality_inference,[],[1178])).
% 4.81/5.80  cnf(i_0_2193, plain, (X1=X1|~class_Ring__and__Field_Oordered__semidom(X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)), inference(equality_inference,[],[1218])).
% 4.81/5.80  cnf(i_0_2194, 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,[],[1300])).
% 4.81/5.80  cnf(i_0_2195, plain, (~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)=c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)), inference(equality_inference,[],[1416])).
% 4.81/5.80  cnf(i_0_2196, 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,[],[1489])).
% 4.81/5.80  cnf(i_0_2197, 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,[],[1490])).
% 4.81/5.80  cnf(i_0_2198, 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,[],[1507])).
% 4.81/5.80  cnf(i_0_2199, plain, (X1=X1|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)), inference(equality_inference,[],[1527])).
% 4.81/5.80  cnf(i_0_2200, plain, (X1=X1|~class_Ring__and__Field_Oidom(X2)|X1=c_HOL_Ouminus__class_Ouminus(X1,X2)), inference(equality_inference,[],[1614])).
% 4.81/5.80  cnf(i_0_2201, plain, (~class_Int_Onumber__ring(X1)|X2=X2|~class_Ring__and__Field_Oidom(X1)), inference(equality_inference,[],[1637])).
% 4.81/5.80  cnf(i_0_2202, plain, (X1=X1|~class_OrderedGroup_Oab__group__add(X2)), inference(equality_inference,[],[1655])).
% 4.81/5.80  cnf(i_0_2203, plain, (X1=X1|~class_OrderedGroup_Ocancel__semigroup__add(X2)), inference(equality_inference,[],[1656])).
% 4.81/5.80  cnf(i_0_2204, plain, (X1=X1|~class_OrderedGroup_Ocancel__semigroup__add(X2)), inference(equality_inference,[],[1657])).
% 4.81/5.80  cnf(i_0_2205, plain, (X1=X1|~class_OrderedGroup_Ocancel__ab__semigroup__add(X2)), inference(equality_inference,[],[1658])).
% 4.81/5.80  cnf(i_0_2206, plain, (X1=X1|~class_OrderedGroup_Oab__group__add(X2)), inference(equality_inference,[],[1659])).
% 4.81/5.80  cnf(i_0_2207, plain, (X1=X1|X2=c_HOL_Ozero__class_Ozero(tc_nat)), inference(equality_inference,[],[1681])).
% 4.81/5.80  cnf(i_0_2208, plain, (X1=X1|X2=c_HOL_Ozero__class_Ozero(tc_nat)), inference(equality_inference,[],[1683])).
% 4.81/5.80  cnf(i_0_2209, plain, (~class_Ring__and__Field_Oordered__idom(X1)|c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X1)), inference(equality_inference,[],[1777])).
% 4.81/5.80  cnf(i_0_2210, plain, (~class_Ring__and__Field_Odivision__ring(X1)|X2=X2|X2=c_HOL_Ozero__class_Ozero(X1)|X2=c_HOL_Ozero__class_Ozero(X1)), inference(equality_inference,[],[1888])).
% 4.81/5.80  cnf(i_0_2211, plain, (~class_Ring__and__Field_Odivision__by__zero(X1)|X2=X2|~class_Ring__and__Field_Odivision__ring(X1)), inference(equality_inference,[],[1897])).
% 4.81/5.80  cnf(i_0_2212, plain, (X1=X1|~class_Lattices_Oboolean__algebra(X2)), inference(equality_inference,[],[1906])).
% 4.81/5.80  cnf(i_0_2213, plain, (X1=X1|~class_OrderedGroup_Ogroup__add(X2)), inference(equality_inference,[],[1907])).
% 4.81/5.80  cnf(i_0_2214, plain, (c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_1562])).
% 4.81/5.80  cnf(i_0_2215, plain, (c_Polynomial_Opoly(v_qa____,v_a____,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1911,i_0_1726])).
% 4.81/5.80  cnf(i_0_2216, plain, (c_Polynomial_Opoly(v_pa____,X1,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_qa____,X1,tc_Complex_Ocomplex)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(rename_variables,[],[i_0_1726])).
% 4.81/5.80  cnf(i_0_2217, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,X1,tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_2038,i_0_1911,i_0_1726,i_0_1890])).
% 4.81/5.80  cnf(i_0_2218, plain, (~class_Ring__and__Field_Ocomm__semiring__1(X1)|c_Ring__and__Field_Odvd__class_Odvd(X2,X2,X1)), inference(rename_variables,[],[i_0_1890])).
% 4.81/5.80  cnf(i_0_2219, plain, (c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068])).
% 4.81/5.80  cnf(i_0_2220, plain, (~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1822,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212])).
% 4.81/5.80  cnf(i_0_2221, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2222, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1212])).
% 4.81/5.80  cnf(i_0_2223, plain, (~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1822,i_0_2221,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213])).
% 4.81/5.80  cnf(i_0_2224, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2225, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1213])).
% 4.81/5.80  cnf(i_0_2226, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1822,i_0_2221,i_0_2224,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470])).
% 4.81/5.80  cnf(i_0_2227, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2228, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1470])).
% 4.81/5.80  cnf(i_0_2229, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471])).
% 4.81/5.80  cnf(i_0_2230, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2231, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1471])).
% 4.81/5.80  cnf(i_0_2232, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472])).
% 4.81/5.80  cnf(i_0_2233, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)), inference(rename_variables,[],[i_0_1472])).
% 4.81/5.80  cnf(i_0_2234, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473])).
% 4.81/5.80  cnf(i_0_2235, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)|c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)), inference(rename_variables,[],[i_0_1473])).
% 4.81/5.80  cnf(i_0_2236, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1998,i_0_2038,i_0_1911,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631])).
% 4.81/5.80  cnf(i_0_2237, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)|~class_Ring__and__Field_Ocomm__ring__1(X2)|c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)), inference(rename_variables,[],[i_0_1631])).
% 4.81/5.80  cnf(i_0_2238, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),v_pa____,tc_nat),c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(scs_inference,[],[i_0_1528,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1998,i_0_2038,i_0_1911,i_0_1902,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185])).
% 4.81/5.80  cnf(i_0_2239, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2240, plain, (~c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(scs_inference,[],[i_0_1528,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1998,i_0_2038,i_0_1911,i_0_1902,i_0_2239,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186])).
% 4.81/5.80  cnf(i_0_2241, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2242, plain, (~c_Ring__and__Field_Odvd__class_Odvd(v_pa____,c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),tc_Polynomial_Opoly(tc_Complex_Ocomplex),tc_nat))), inference(scs_inference,[],[i_0_1528,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1998,i_0_2038,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187])).
% 4.81/5.80  cnf(i_0_2243, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2244, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X2,tc_nat),tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1528,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1698,i_0_1998,i_0_2038,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389])).
% 4.81/5.80  cnf(i_0_2245, plain, (~c_lessequals(X1,X2,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X4),c_Power_Opower__class_Opower(X3,X2,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)), inference(rename_variables,[],[i_0_1389])).
% 4.81/5.80  cnf(i_0_2246, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(scs_inference,[],[i_0_1528,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1698,i_0_1998,i_0_2038,i_0_2057,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482])).
% 4.81/5.80  cnf(i_0_2247, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X2),X3,X2),X1,tc_Polynomial_Opoly(X2))|~class_Ring__and__Field_Ofield(X2)), inference(rename_variables,[],[i_0_1482])).
% 4.81/5.80  cnf(i_0_2248, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(tc_nat),v_na____,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1698,i_0_1998,i_0_2038,i_0_2039,i_0_2057,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773])).
% 4.81/5.80  cnf(i_0_2249, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~class_Ring__and__Field_Ocomm__semiring__1(X2)), inference(rename_variables,[],[i_0_1773])).
% 4.81/5.80  cnf(i_0_2250, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_Polynomial_Opoly(v_pa____,v_a____,tc_Complex_Ocomplex),tc_nat)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1528,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_1698,i_0_1998,i_0_2038,i_0_2039,i_0_2057,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069])).
% 4.81/5.80  cnf(i_0_2251, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2252, plain, (~c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_1779,i_0_1698,i_0_1998,i_0_2038,i_0_2039,i_0_2057,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181])).
% 4.81/5.80  cnf(i_0_2253, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2254, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_1779,i_0_1698,i_0_1814,i_0_1998,i_0_2038,i_0_2039,i_0_2057,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182])).
% 4.81/5.80  cnf(i_0_2255, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2256, plain, (c_lessequals(c_HOL_Oone__class_Oone(tc_nat),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2057,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517])).
% 4.81/5.80  cnf(i_0_2257, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2258, plain, (~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)), inference(rename_variables,[],[i_0_1517])).
% 4.81/5.80  cnf(i_0_2259, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2057,i_0_2060,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750])).
% 4.81/5.80  cnf(i_0_2260, plain, (c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Olinorder(X3)|c_lessequals(X2,X1,X3)), inference(rename_variables,[],[i_0_1750])).
% 4.81/5.80  cnf(i_0_2261, plain, (c_Divides_Odiv__class_Odiv(v_na____,v_na____,tc_nat)=c_HOL_Oone__class_Oone(tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2057,i_0_2060,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859])).
% 4.81/5.80  cnf(i_0_2262, plain, (X1=c_HOL_Ozero__class_Ozero(X2)|c_Divides_Odiv__class_Odiv(X1,X1,X2)=c_HOL_Oone__class_Oone(X2)|~class_Divides_Osemiring__div(X2)), inference(rename_variables,[],[i_0_1859])).
% 4.81/5.80  cnf(i_0_2263, plain, (~c_HOL_Oord__class_Oless(X1,X1,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),tc_nat,tc_nat))), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2057,i_0_2060,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183])).
% 4.81/5.80  cnf(i_0_2264, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2265, plain, (c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1904,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2057,i_0_2060,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255])).
% 4.81/5.80  cnf(i_0_2266, plain, (~c_lessequals(X1,X2,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X1,X4),c_Power_Opower__class_Opower(X5,X2,X4),X4)|~class_Ring__and__Field_Ocomm__semiring__1(X4)|~c_Ring__and__Field_Odvd__class_Odvd(X3,X5,X4)), inference(rename_variables,[],[i_0_1255])).
% 4.81/5.80  cnf(i_0_2267, plain, (c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)!=c_HOL_Ozero__class_Ozero(tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1904,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602])).
% 4.81/5.80  cnf(i_0_2268, plain, (X1=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Oorder(X3,X1,X2)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Opoly(X1,X3,X2)!=c_HOL_Ozero__class_Ozero(X2)|~class_Ring__and__Field_Oidom(X2)), inference(rename_variables,[],[i_0_1602])).
% 4.81/5.80  cnf(i_0_2269, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1904,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220])).
% 4.81/5.80  cnf(i_0_2270, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1698])).
% 4.81/5.80  cnf(i_0_2271, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono1(X1)|~c_lessequals(X3,X4,X1)), inference(rename_variables,[],[i_0_1220])).
% 4.81/5.80  cnf(i_0_2272, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_1814,i_0_1904,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221])).
% 4.81/5.80  cnf(i_0_2273, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1375])).
% 4.81/5.80  cnf(i_0_2274, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(X3,X4,X1)), inference(rename_variables,[],[i_0_1221])).
% 4.81/5.80  cnf(i_0_2275, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_2270,i_0_1814,i_0_1904,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223])).
% 4.81/5.80  cnf(i_0_2276, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1698])).
% 4.81/5.80  cnf(i_0_2277, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)|~class_Ring__and__Field_Omult__mono(X1)|~c_lessequals(X3,X4,X1)), inference(rename_variables,[],[i_0_1223])).
% 4.81/5.80  cnf(i_0_2278, plain, (c_lessequals(c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_1814,i_0_1904,i_0_1998,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242])).
% 4.81/5.80  cnf(i_0_2279, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1698])).
% 4.81/5.80  cnf(i_0_2280, plain, (~c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)|~c_lessequals(X3,X4,tc_nat)|c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)|~class_Ring__and__Field_Oordered__semidom(X1)), inference(rename_variables,[],[i_0_1242])).
% 4.81/5.80  cnf(i_0_2281, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_1814,i_0_1904,i_0_1998,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342])).
% 4.81/5.80  cnf(i_0_2282, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2283, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)|~class_Ring__and__Field_Opordered__cancel__semiring(X1)), inference(rename_variables,[],[i_0_1342])).
% 4.81/5.80  cnf(i_0_2284, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_1814,i_0_1904,i_0_1998,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344])).
% 4.81/5.80  cnf(i_0_2285, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2286, plain, (~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)|c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_Ring__and__Field_Opordered__cancel__semiring(X2)), inference(rename_variables,[],[i_0_1344])).
% 4.81/5.80  cnf(i_0_2287, plain, (c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_1814,i_0_1904,i_0_1998,i_0_2025,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352])).
% 4.81/5.80  cnf(i_0_2288, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2289, plain, (~c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)|~c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)|c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)|~class_OrderedGroup_Opordered__comm__monoid__add(X2)), inference(rename_variables,[],[i_0_1352])).
% 4.81/5.80  cnf(i_0_2290, plain, (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_1998,i_0_2025,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652])).
% 4.81/5.80  cnf(i_0_2291, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1698])).
% 4.81/5.80  cnf(i_0_2292, plain, (~c_lessequals(X1,X2,X3)|~c_lessequals(X2,X1,X3)|X1=X2|~class_Orderings_Oorder(X3)), inference(rename_variables,[],[i_0_1652])).
% 4.81/5.80  cnf(i_0_2293, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),v_na____,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_1998,i_0_2025,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704])).
% 4.81/5.80  cnf(i_0_2294, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), inference(rename_variables,[],[i_0_1904])).
% 4.81/5.80  cnf(i_0_2295, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X2,X1,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)), inference(rename_variables,[],[i_0_1704])).
% 4.81/5.80  cnf(i_0_2296, plain, (~c_lessequals(v_na____,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_1998,i_0_2025,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708])).
% 4.81/5.80  cnf(i_0_2297, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1814])).
% 4.81/5.80  cnf(i_0_2298, plain, (X1=X2|~class_Orderings_Oorder(X3)|~c_lessequals(X1,X2,X3)|c_HOL_Oord__class_Oless(X1,X2,X3)), inference(rename_variables,[],[i_0_1708])).
% 4.81/5.80  cnf(i_0_2299, plain, (c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_1998,i_0_2025,i_0_2034,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149])).
% 4.81/5.80  cnf(i_0_2300, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), inference(rename_variables,[],[i_0_1904])).
% 4.81/5.80  cnf(i_0_2301, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2302, plain, (~c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)|~c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)|~c_lessequals(X3,X4,tc_nat)|c_lessequals(c_Power_Opower__class_Opower(X1,X4,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)|~class_Ring__and__Field_Oordered__semidom(X2)), inference(rename_variables,[],[i_0_1149])).
% 4.81/5.80  cnf(i_0_2303, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390])).
% 4.81/5.80  cnf(i_0_2304, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X3,X4,X1)), inference(rename_variables,[],[i_0_1390])).
% 4.81/5.80  cnf(i_0_2305, plain, (c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391])).
% 4.81/5.80  cnf(i_0_2306, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X3,X4,X1)), inference(rename_variables,[],[i_0_1391])).
% 4.81/5.80  cnf(i_0_2307, plain, (~c_lessequals(c_HOL_Oplus__class_Oplus(v_na____,X1,tc_nat),X1,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392])).
% 4.81/5.80  cnf(i_0_2308, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2309, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_lessequals(X3,X4,X1)), inference(rename_variables,[],[i_0_1392])).
% 4.81/5.80  cnf(i_0_2310, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X1,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393])).
% 4.81/5.80  cnf(i_0_2311, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2312, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2313, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)|~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)|~class_OrderedGroup_Ocomm__monoid__add(X1)|~c_HOL_Oord__class_Oless(X3,X4,X1)), inference(rename_variables,[],[i_0_1393])).
% 4.81/5.80  cnf(i_0_2314, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094])).
% 4.81/5.80  cnf(i_0_2315, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2316, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)|~class_Ring__and__Field_Opordered__semiring(X1)|~c_lessequals(X2,X5,X1)|~c_lessequals(X4,X3,X1)), inference(rename_variables,[],[i_0_1094])).
% 4.81/5.80  cnf(i_0_2317, plain, (c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)=c_HOL_Ozero__class_Ozero(tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800])).
% 4.81/5.80  cnf(i_0_2318, plain, (~c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)|X1=c_HOL_Ozero__class_Ozero(tc_nat)), inference(rename_variables,[],[i_0_1800])).
% 4.81/5.80  cnf(i_0_2319, plain, (~class_Ring__and__Field_Oordered__idom(tc_Complex_Ocomplex)|c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632])).
% 4.81/5.80  cnf(i_0_2320, plain, (~c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)|~class_Ring__and__Field_Oordered__idom(X2)|c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)), inference(rename_variables,[],[i_0_1632])).
% 4.81/5.80  cnf(i_0_2321, plain, (c_Ring__and__Field_Odvd__class_Odvd(X1,c_Power_Opower__class_Opower(X1,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526])).
% 4.81/5.80  cnf(i_0_2322, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)|c_Ring__and__Field_Odvd__class_Odvd(X2,c_Power_Opower__class_Opower(X2,X1,X3),X3)|~class_Ring__and__Field_Ocomm__semiring__1(X3)), inference(rename_variables,[],[i_0_1526])).
% 4.81/5.80  cnf(i_0_2323, plain, (~c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),v_na____,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124])).
% 4.81/5.80  cnf(i_0_2324, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2325, plain, (~c_lessequals(v_na____,c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125])).
% 4.81/5.80  cnf(i_0_2326, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2327, plain, (~c_lessequals(v_na____,c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),tc_nat,tc_nat))), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126])).
% 4.81/5.80  cnf(i_0_2328, plain, (c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),X1,tc_nat)=X1), inference(rename_variables,[],[i_0_1902])).
% 4.81/5.80  cnf(i_0_2329, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Power_Opower__class_Opower(v_na____,X1,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521])).
% 4.81/5.80  cnf(i_0_2330, 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_1521])).
% 4.81/5.80  cnf(i_0_2331, plain, (~class_OrderedGroup_Opordered__ab__group__add(tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525])).
% 4.81/5.80  cnf(i_0_2332, plain, (~c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1814])).
% 4.81/5.80  cnf(i_0_2333, plain, (c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)|~class_OrderedGroup_Opordered__ab__group__add(X3)|~c_HOL_Oord__class_Oless(X1,X2,X3)), inference(rename_variables,[],[i_0_1525])).
% 4.81/5.80  cnf(i_0_2334, plain, (~c_lessequals(c_HOL_Otimes__class_Otimes(v_na____,v_na____,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560])).
% 4.81/5.80  cnf(i_0_2335, plain, (c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat)), inference(rename_variables,[],[i_0_1698])).
% 4.81/5.80  cnf(i_0_2336, plain, (~c_lessequals(X1,X2,tc_nat)|c_lessequals(X1,X3,tc_nat)|~c_lessequals(X2,X3,tc_nat)), inference(rename_variables,[],[i_0_1560])).
% 4.81/5.80  cnf(i_0_2337, plain, (~c_lessequals(c_Power_Opower__class_Opower(v_na____,X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660])).
% 4.81/5.80  cnf(i_0_2338, plain, (~c_HOL_Oord__class_Oless(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3)), inference(rename_variables,[],[i_0_1660])).
% 4.81/5.80  cnf(i_0_2339, plain, (c_HOL_Ozero__class_Ozero(tc_nat)=c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687])).
% 4.81/5.80  cnf(i_0_2340, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), inference(rename_variables,[],[i_0_1904])).
% 4.81/5.80  cnf(i_0_2341, plain, (~c_lessequals(X1,X2,tc_nat)|~c_lessequals(X2,X1,tc_nat)|X2=X1), inference(rename_variables,[],[i_0_1687])).
% 4.81/5.80  cnf(i_0_2342, plain, (c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),v_na____,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746])).
% 4.81/5.80  cnf(i_0_2343, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Olinorder(X3)|c_lessequals(X2,X1,X3)), inference(rename_variables,[],[i_0_1746])).
% 4.81/5.80  cnf(i_0_2344, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_na____,X1,tc_nat),X1,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254])).
% 4.81/5.80  cnf(i_0_2345, 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_1254])).
% 4.81/5.80  cnf(i_0_2346, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(v_na____,v_na____,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363])).
% 4.81/5.80  cnf(i_0_2347, 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_1363])).
% 4.81/5.80  cnf(i_0_2348, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(v_na____,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364])).
% 4.81/5.80  cnf(i_0_2349, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2350, plain, (~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)), inference(rename_variables,[],[i_0_1364])).
% 4.81/5.80  cnf(i_0_2351, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),v_na____,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365])).
% 4.81/5.80  cnf(i_0_2352, plain, (c_lessequals(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1910])).
% 4.81/5.80  cnf(i_0_2353, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)|~c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)|~class_OrderedGroup_Opordered__comm__monoid__add(X1)), inference(rename_variables,[],[i_0_1365])).
% 4.81/5.80  cnf(i_0_2354, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(v_na____,v_na____,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366])).
% 4.81/5.80  cnf(i_0_2355, 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_1366])).
% 4.81/5.80  cnf(i_0_2356, plain, (~c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(v_na____,X1,tc_nat),X2,tc_nat),X2,tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400])).
% 4.81/5.80  cnf(i_0_2357, plain, (~c_HOL_Oord__class_Oless(X1,X1,tc_nat)), inference(rename_variables,[],[i_0_1822])).
% 4.81/5.80  cnf(i_0_2358, 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_1400])).
% 4.81/5.80  cnf(i_0_2359, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_nat),v_na____,tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601])).
% 4.81/5.80  cnf(i_0_2360, plain, (c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), inference(rename_variables,[],[i_0_1904])).
% 4.81/5.80  cnf(i_0_2361, plain, (c_lessequals(X1,X2,X3)|~class_Orderings_Opreorder(X3)|~c_lessequals(X2,X1,X3)|c_HOL_Oord__class_Oless(X2,X1,X3)), inference(rename_variables,[],[i_0_1601])).
% 4.81/5.80  cnf(i_0_2362, plain, (c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601,i_0_1477])).
% 4.81/5.80  cnf(i_0_2363, plain, (~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)|c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)), inference(rename_variables,[],[i_0_1477])).
% 4.81/5.80  cnf(i_0_2364, plain, (class_RealVector_Oreal__normed__algebra(X1)|tc_Complex_Ocomplex!=X1), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2031,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601,i_0_1477,i_0_2113])).
% 4.81/5.80  cnf(i_0_2365, plain, (class_Ring__and__Field_Ocomm__ring(X1)|tc_Complex_Ocomplex!=X1), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2031,i_0_2034,i_0_2036,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2062,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601,i_0_1477,i_0_2113,i_0_2114])).
% 4.81/5.80  cnf(i_0_2366, plain, (class_Ring__and__Field_Oring(X1)|tc_Complex_Ocomplex!=X1), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2031,i_0_2034,i_0_2036,i_0_2037,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2062,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601,i_0_1477,i_0_2113,i_0_2114,i_0_2116])).
% 4.81/5.80  cnf(i_0_2367, plain, (class_Divides_Osemiring__div(X1)|tc_nat!=X1), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2031,i_0_2034,i_0_2036,i_0_2037,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2060,i_0_2061,i_0_2062,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601,i_0_1477,i_0_2113,i_0_2114,i_0_2116,i_0_2117])).
% 4.81/5.80  cnf(i_0_2368, plain, (class_Ring__and__Field_Odivision__ring(X1)|tc_Complex_Ocomplex!=X1), inference(scs_inference,[],[i_0_1528,i_0_2065,i_0_1994,i_0_1992,i_0_1822,i_0_2221,i_0_2224,i_0_2227,i_0_2230,i_0_2253,i_0_2308,i_0_2312,i_0_1910,i_0_2257,i_0_2282,i_0_2285,i_0_2288,i_0_2301,i_0_2311,i_0_2315,i_0_2349,i_0_1779,i_0_1698,i_0_2270,i_0_2276,i_0_2279,i_0_2291,i_0_1814,i_0_2297,i_0_1904,i_0_2294,i_0_2300,i_0_2340,i_0_1998,i_0_2004,i_0_2010,i_0_2021,i_0_2025,i_0_2028,i_0_2031,i_0_2034,i_0_2036,i_0_2037,i_0_2038,i_0_2039,i_0_2052,i_0_2053,i_0_2054,i_0_2056,i_0_2057,i_0_2058,i_0_2060,i_0_2061,i_0_2062,i_0_2066,i_0_1911,i_0_1375,i_0_1902,i_0_2239,i_0_2241,i_0_2243,i_0_2251,i_0_2255,i_0_2264,i_0_2324,i_0_2326,i_0_1726,i_0_1890,i_0_2068,i_0_1212,i_0_1213,i_0_1470,i_0_1471,i_0_1472,i_0_1473,i_0_1631,i_0_2185,i_0_2186,i_0_2187,i_0_1389,i_0_1482,i_0_1773,i_0_2069,i_0_2181,i_0_2182,i_0_1517,i_0_1750,i_0_1859,i_0_2183,i_0_1255,i_0_1602,i_0_1220,i_0_1221,i_0_1223,i_0_1242,i_0_1342,i_0_1344,i_0_1352,i_0_1652,i_0_1704,i_0_1708,i_0_1149,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1094,i_0_1800,i_0_1632,i_0_1526,i_0_2124,i_0_2125,i_0_2126,i_0_1521,i_0_1525,i_0_1560,i_0_1660,i_0_1687,i_0_1746,i_0_1254,i_0_1363,i_0_1364,i_0_1365,i_0_1366,i_0_1400,i_0_1601,i_0_1477,i_0_2113,i_0_2114,i_0_2116,i_0_2117,i_0_2118])).
% 4.81/5.80  cnf(i_0_2369, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), inference(equality_inference,[],[2364])).
% 4.81/5.80  cnf(i_0_2370, plain, (class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex)), inference(equality_inference,[],[2365])).
% 4.81/5.80  cnf(i_0_2371, plain, (class_Ring__and__Field_Oring(tc_Complex_Ocomplex)), inference(equality_inference,[],[2366])).
% 4.81/5.80  cnf(i_0_2372, plain, (class_Divides_Osemiring__div(tc_nat)), inference(equality_inference,[],[2367])).
% 4.81/5.80  cnf(i_0_2373, plain, (class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)), inference(equality_inference,[],[2368])).
% 4.81/5.80  cnf(i_0_2374,plain, ($false), inference(scs_inference,[],[i_0+2214, i_0_2267]), ['proof']).
% 4.81/5.80  % SZS output end CNFRefutation
% 4.81/5.80  % Total time : 4.330s
%------------------------------------------------------------------------------