CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : ALG371-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:08:34 PM UTC 2026

% Result   : Unsatisfiable 1.09s 1.68s
% Output   : CNFRefutation 3.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 512)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_add__nonneg__eq__0__iff_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_2) ).

cnf(cls_sum__squares__gt__zero__iff_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_0) ).

cnf(cls_add__frac__eq_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
    | X5 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__frac__eq_0) ).

cnf(cls_sum__squares__le__zero__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_0) ).

cnf(cls_sum__squares__le__zero__iff_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_1) ).

cnf(cls_not__sum__squares__lt__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__sum__squares__lt__zero_0) ).

cnf(cls_combine__common__factor_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1),X5,X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_combine__common__factor_0) ).

cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
    ( X3 = X5
    | X2 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_0) ).

cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
    ( X3 = X5
    | X2 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_divide__le__eq_9,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_9) ).

cnf(cls_divide__less__eq_9,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_9) ).

cnf(cls_divide__le__eq_8,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_8) ).

cnf(cls_divide__less__eq_8,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_8) ).

cnf(cls_le__divide__eq_9,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_9) ).

cnf(cls_le__divide__eq_8,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_8) ).

cnf(cls_less__divide__eq_9,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_9) ).

cnf(cls_less__divide__eq_8,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_8) ).

cnf(cls_divide__left__mono__neg_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__left__mono__neg_0) ).

cnf(cls_divide__left__mono_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__left__mono_0) ).

cnf(cls_divide__strict__left__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__left__mono_0) ).

cnf(cls_divide__strict__left__mono__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__left__mono__neg_0) ).

cnf(cls_sum__squares__le__zero__iff_2,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_2) ).

cnf(cls_norm__mult__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X1),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),X4,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__mult__less_0) ).

cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I15_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I14_J_0) ).

cnf(cls_mult__mono_H_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono_H_0) ).

cnf(cls_mult__mono_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono_0) ).

cnf(cls_frac__le_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X5,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__le_0) ).

cnf(cls_mult__less__le__imp__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__le__imp__less_0) ).

cnf(cls_mult__le__less__imp__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__less__imp__less_0) ).

cnf(cls_mult__strict__mono_H_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__mono_H_0) ).

cnf(cls_mult__strict__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__mono_0) ).

cnf(cls_frac__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X5,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__less_0) ).

cnf(cls_frac__less2_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X5,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__less2_0) ).

cnf(cls_sum__squares__gt__zero__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_1) ).

cnf(cls_sum__squares__gt__zero__iff_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_2) ).

cnf(cls_sum__squares__ge__zero_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__ge__zero_0) ).

cnf(cls_divide__le__eq_5,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_5) ).

cnf(cls_divide__less__eq_5,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_5) ).

cnf(cls_divide__le__eq_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_1) ).

cnf(cls_divide__le__eq_4,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_4) ).

cnf(cls_divide__less__eq_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_1) ).

cnf(cls_divide__less__eq_4,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_4) ).

cnf(cls_le__divide__eq_1,axiom,
    ( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_1) ).

cnf(cls_le__divide__eq_5,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_5) ).

cnf(cls_le__divide__eq_4,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_4) ).

cnf(cls_less__divide__eq_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_1) ).

cnf(cls_less__divide__eq_5,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_5) ).

cnf(cls_less__divide__eq_4,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_4) ).

cnf(cls_divide__le__eq_7,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_7) ).

cnf(cls_divide__less__eq_7,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_7) ).

cnf(cls_le__divide__eq_7,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_7) ).

cnf(cls_less__divide__eq_7,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_7) ).

cnf(cls_mult__right__le__imp__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__le__imp__le_0) ).

cnf(cls_mult__left__le__imp__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__le__imp__le_0) ).

cnf(cls_mult__le__cancel__left__pos_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__pos_0) ).

cnf(cls_mult__right__less__imp__less_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__less__imp__less_0) ).

cnf(cls_mult__left__less__imp__less_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__less__imp__less_0) ).

cnf(cls_mult__less__imp__less__right_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__imp__less__right_0) ).

cnf(cls_mult__less__imp__less__left_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__imp__less__left_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__less__imp__less__base_0) ).

cnf(cls_mult__less__cancel__left__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__pos_0) ).

cnf(cls_mult__le__cancel__left__neg_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__neg_0) ).

cnf(cls_mult__less__cancel__left__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__neg_0) ).

cnf(cls_add__frac__num_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),X3,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__frac__num_0) ).

cnf(cls_add__num__frac_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1),X4,X1)
    | X4 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__num__frac_0) ).

cnf(cls_real__mult__le__cancel__iff1_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff1_0) ).

cnf(cls_real__mult__le__cancel__iff2_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff2_0) ).

cnf(cls_real__mult__less__iff1_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__iff1_0) ).

cnf(cls_mult__less__cancel__left__disj_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_0) ).

cnf(cls_mult__less__cancel__right__disj_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_0) ).

cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_1) ).

cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_1) ).

cnf(cls_mult__frac__frac_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__frac_0) ).

cnf(cls_mult__less__cancel__right__disj_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_1) ).

cnf(cls_mult__less__cancel__left__disj_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_1) ).

cnf(cls_mult__less__cancel__left__disj_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_2) ).

cnf(cls_mult__less__cancel__right__disj_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_2) ).

cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I13_J_0) ).

cnf(cls_mult__less__cancel__right__disj_3,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_3) ).

cnf(cls_mult__less__cancel__left__disj_3,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_3) ).

cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
    ( X4 = X5
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X5,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__scale__eq__noteq_0) ).

cnf(cls_le__divide__eq_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_0) ).

cnf(cls_divide__le__eq_6,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_6) ).

cnf(cls_less__divide__eq_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_0) ).

cnf(cls_divide__less__eq_6,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_6) ).

cnf(cls_divide__le__eq_0,axiom,
    ( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_0) ).

cnf(cls_le__divide__eq_6,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_6) ).

cnf(cls_divide__less__eq_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_0) ).

cnf(cls_less__divide__eq_6,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_6) ).

cnf(cls_mult__imp__div__pos__le_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__div__pos__le_0) ).

cnf(cls_mult__imp__div__pos__less_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__div__pos__less_0) ).

cnf(cls_mult__imp__le__div__pos_0,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__le__div__pos_0) ).

cnf(cls_mult__imp__less__div__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__imp__less__div__pos_0) ).

cnf(cls_le__add__right__mono_0,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X5,X4,X1)
    | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__right__mono_0) ).

cnf(cls_norm__mult__ineq_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__mult__ineq_0) ).

cnf(cls_add__le__cancel__right_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_0) ).

cnf(cls_add__le__cancel__left_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_0) ).

cnf(cls_add__less__cancel__right_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_0) ).

cnf(cls_add__less__cancel__left_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_0) ).

cnf(cls_norm__ratiotest__lemma_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Otimes__class_Otimes(X3,c_RealVector_Onorm__class_Onorm(X4,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__ratiotest__lemma_0) ).

cnf(cls_divide__right__mono_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__right__mono_0) ).

cnf(cls_divide__right__mono__neg_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__right__mono__neg_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__mono_0) ).

cnf(cls_mult__mono1_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Omult__mono1(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono1_0) ).

cnf(cls_mult__left__mono_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Omult__mono(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__mono_0) ).

cnf(cls_mult__le__cancel__left__pos_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__pos_1) ).

cnf(cls_mult__right__mono_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Omult__mono(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__mono_0) ).

cnf(cls_mult__strict__left__mono__comm_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono__comm_0) ).

cnf(cls_mult__strict__left__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono_0) ).

cnf(cls_mult__less__cancel__left__pos_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__pos_1) ).

cnf(cls_mult__less__cancel__left__disj_4,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_4) ).

cnf(cls_mult__strict__right__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__right__mono_0) ).

cnf(cls_mult__less__cancel__right__disj_4,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_4) ).

cnf(cls_divide__strict__right__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__right__mono_0) ).

cnf(cls_mult__left__mono__neg_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__mono__neg_0) ).

cnf(cls_mult__le__cancel__left__neg_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__neg_1) ).

cnf(cls_mult__right__mono__neg_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__mono__neg_0) ).

cnf(cls_mult__less__cancel__left__neg_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__neg_1) ).

cnf(cls_mult__strict__left__mono__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono__neg_0) ).

cnf(cls_mult__less__cancel__left__disj_5,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_5) ).

cnf(cls_mult__strict__right__mono__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__right__mono__neg_0) ).

cnf(cls_mult__less__cancel__right__disj_5,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_5) ).

cnf(cls_divide__strict__right__mono__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__strict__right__mono__neg_0) ).

cnf(cls_divide__le__eq_2,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_2) ).

cnf(cls_divide__less__eq_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_2) ).

cnf(cls_le__divide__eq_2,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_2) ).

cnf(cls_less__divide__eq_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_2) ).

cnf(cls_add__mono_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mono_0) ).

cnf(cls_add__less__le__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__le__mono_0) ).

cnf(cls_add__le__less__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__less__mono_0) ).

cnf(cls_add__strict__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__mono_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__divide_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_nonzero__power__divide_0) ).

cnf(cls_sum__squares__eq__zero__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_0) ).

cnf(cls_sum__squares__eq__zero__iff_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_1) ).

cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I1_J_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__mult__distrib_0) ).

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/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__mul_0) ).

cnf(cls_comm__semiring__class_Odistrib_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__semiring__class_Odistrib_0) ).

cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I8_J_0) ).

cnf(cls_mult_Oadd__left_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Oadd__left_0) ).

cnf(cls_mult__left_Oadd_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Oadd_0) ).

cnf(cls_add__divide__distrib_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__divide__distrib_0) ).

cnf(cls_divide_Oadd_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Oadd_0) ).

cnf(cls_class__semiring_Omul__d_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__d_0) ).

cnf(cls_mult_Oadd__right_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Oadd__right_0) ).

cnf(cls_mult__right_Oadd_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Oadd_0) ).

cnf(cls_real__mult__le__cancel__iff2_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff2_1) ).

cnf(cls_real__mult__le__cancel__iff1_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__le__cancel__iff1_1) ).

cnf(cls_real__mult__less__mono2_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__mono2_0) ).

cnf(cls_real__mult__less__iff1_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__iff1_1) ).

cnf(cls_poly__bound__exists_1,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__bound__exists_1) ).

cnf(cls_zero__less__mult__pos2_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__mult__pos2_0) ).

cnf(cls_zero__less__mult__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__mult__pos_0) ).

cnf(cls_add__cancel__21_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_0) ).

cnf(cls_divide__le__0__iff_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_1) ).

cnf(cls_divide__less__0__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_1) ).

cnf(cls_divide__le__0__iff_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_0) ).

cnf(cls_divide__le__0__iff_3,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_3) ).

cnf(cls_divide__less__0__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_0) ).

cnf(cls_divide__less__0__iff_3,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_3) ).

cnf(cls_zero__le__divide__iff_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_0) ).

cnf(cls_zero__le__divide__iff_3,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_3) ).

cnf(cls_zero__le__divide__iff_2,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_2) ).

cnf(cls_zero__le__divide__iff_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_1) ).

cnf(cls_zero__less__divide__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_0) ).

cnf(cls_zero__less__divide__iff_3,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_3) ).

cnf(cls_zero__less__divide__iff_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_2) ).

cnf(cls_zero__less__divide__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_1) ).

cnf(cls_divide__le__0__iff_2,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_2) ).

cnf(cls_divide__less__0__iff_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_2) ).

cnf(cls_divide__le__eq_3,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__eq_3) ).

cnf(cls_divide__less__eq_3,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__eq_3) ).

cnf(cls_le__divide__eq_3,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__divide__eq_3) ).

cnf(cls_less__divide__eq_3,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__divide__eq_3) ).

cnf(cls_mult__le__0__iff_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_1) ).

cnf(cls_mult__le__0__iff_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_0) ).

cnf(cls_mult__le__0__iff_3,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_3) ).

cnf(cls_zero__le__mult__iff_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_0) ).

cnf(cls_zero__le__mult__iff_3,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_3) ).

cnf(cls_zero__le__mult__iff_2,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_2) ).

cnf(cls_zero__le__mult__iff_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_1) ).

cnf(cls_mult__le__0__iff_2,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_2) ).

cnf(cls_divide__le__0__iff_5,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_5) ).

cnf(cls_divide__le__0__iff_4,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__le__0__iff_4) ).

cnf(cls_divide__less__0__iff_5,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_5) ).

cnf(cls_divide__less__0__iff_4,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__less__0__iff_4) ).

cnf(cls_zero__le__divide__iff_4,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_4) ).

cnf(cls_zero__less__divide__iff_4,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_4) ).

cnf(cls_zero__le__divide__iff_5,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__divide__iff_5) ).

cnf(cls_zero__less__divide__iff_5,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__divide__iff_5) ).

cnf(cls_split__mult__neg__le_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__neg__le_1) ).

cnf(cls_mult__nonpos__nonneg_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonpos__nonneg_0) ).

cnf(cls_mult__nonneg__nonpos2_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonpos2_0) ).

cnf(cls_split__mult__neg__le_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__neg__le_0) ).

cnf(cls_mult__nonneg__nonpos_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonpos_0) ).

cnf(cls_mult__le__0__iff_5,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_5) ).

cnf(cls_mult__le__0__iff_4,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_4) ).

cnf(cls_divide__nonpos__pos_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonpos__pos_0) ).

cnf(cls_divide__nonneg__neg_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonneg__neg_0) ).

cnf(cls_mult__neg__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__neg__pos_0) ).

cnf(cls_mult__pos__neg2_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__neg2_0) ).

cnf(cls_mult__pos__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__neg_0) ).

cnf(cls_divide__neg__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__neg__pos_0) ).

cnf(cls_divide__pos__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__pos__neg_0) ).

cnf(cls_add__nonpos__nonpos_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__nonpos_0) ).

cnf(cls_add__neg__nonpos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__nonpos_0) ).

cnf(cls_add__nonpos__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__neg_0) ).

cnf(cls_add__neg__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__neg_0) ).

cnf(cls_add__nonneg__nonneg_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__nonneg_0) ).

cnf(cls_split__mult__pos__le_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__pos__le_0) ).

cnf(cls_mult__nonneg__nonneg_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonneg_0) ).

cnf(cls_zero__le__mult__iff_4,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_4) ).

cnf(cls_divide__nonneg__pos_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonneg__pos_0) ).

cnf(cls_add__pos__nonneg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__nonneg_0) ).

cnf(cls_add__nonneg__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__pos_0) ).

cnf(cls_add__pos__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__pos_0) ).

cnf(cls_mult__pos__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__pos_0) ).

cnf(cls_divide__pos__pos_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__pos__pos_0) ).

cnf(cls_split__mult__pos__le_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__pos__le_1) ).

cnf(cls_mult__nonpos__nonpos_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonpos__nonpos_0) ).

cnf(cls_zero__le__mult__iff_5,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_5) ).

cnf(cls_divide__nonpos__neg_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__nonpos__neg_0) ).

cnf(cls_mult__neg__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__neg__neg_0) ).

cnf(cls_divide__neg__neg_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__neg__neg_0) ).

cnf(cls_add__le__cancel__left_1,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_1) ).

cnf(cls_add__left__mono_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__mono_0) ).

cnf(cls_add__le__cancel__right_1,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_1) ).

cnf(cls_add__right__mono_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__mono_0) ).

cnf(cls_add__strict__left__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__left__mono_0) ).

cnf(cls_add__less__cancel__left_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).

cnf(cls_add__strict__right__mono_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__right__mono_0) ).

cnf(cls_add__less__cancel__right_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_1) ).

cnf(cls_add__increasing2_0,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing2_0) ).

cnf(cls_add__increasing_0,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing_0) ).

cnf(cls_add__strict__increasing_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing_0) ).

cnf(cls_add__strict__increasing2_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing2_0) ).

cnf(cls_pos__add__strict_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos__add__strict_0) ).

cnf(cls_mult__divide__mult__cancel__left_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__divide__mult__cancel__left_0) ).

cnf(cls_mult__divide__mult__cancel__right_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X4,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__divide__mult__cancel__right_0) ).

cnf(cls_real__mult__order_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__order_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__le__zero__eq_3) ).

cnf(cls_mult__frac__num_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).

cnf(cls_ln__le__cancel__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__le__cancel__iff_0) ).

cnf(cls_ln__less__cancel__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__less__cancel__iff_0) ).

cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_0) ).

cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_0) ).

cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__less__zero__eq_1) ).

cnf(cls_even__less__0__iff_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_0) ).

cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_0) ).

cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I16_J_0) ).

cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__assoc_0) ).

cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__commutes_0) ).

cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I17_J_0) ).

cnf(cls_class__semiring_Oadd__a_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).

cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I25_J_0) ).

cnf(cls_class__semiring_Omul__a_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).

cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I18_J_0) ).

cnf(cls_add__cancel__21_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).

cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).

cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).

cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).

cnf(cls_sum__squares__eq__zero__iff_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_2) ).

cnf(cls_ln__le__cancel__iff_1,axiom,
    ( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__le__cancel__iff_1) ).

cnf(cls_ln__less__cancel__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__less__cancel__iff_1) ).

cnf(cls_real__mult__assoc_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__assoc_0) ).

cnf(cls_frac__eq__eq_0,axiom,
    ( X5 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Otimes__class_Otimes(X2,X5,X1) = c_HOL_Otimes__class_Otimes(X4,X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oinverse__class_Odivide(X4,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__eq__eq_0) ).

cnf(cls_frac__eq__eq_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X5 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X5,X1) = c_HOL_Oinverse__class_Odivide(X4,X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Otimes__class_Otimes(X4,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_frac__eq__eq_1) ).

cnf(cls_add__nonneg__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_0) ).

cnf(cls_add__nonneg__eq__0__iff_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_1) ).

cnf(cls_not__square__less__zero_0,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__square__less__zero_0) ).

cnf(cls_not__real__square__gt__zero_1,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_1) ).

cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_1) ).

cnf(cls_even__less__0__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_1) ).

cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_1) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_zero__le__power__iff_1) ).

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/sandbox2/benchmark/theBenchmark.p',cls_zero__le__power_0) ).

cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_1) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_zero__less__power_0) ).

cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_1) ).

cnf(cls_Rats__dense__in__nn__real_2,axiom,
    ( c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Rats__dense__in__nn__real_2) ).

cnf(cls_Rats__dense__in__nn__real_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Rats__dense__in__nn__real_1) ).

cnf(cls_order__trans_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).

cnf(cls_xt1_I6_J_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).

cnf(cls_order__less__le__trans_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).

cnf(cls_order__le__less__trans_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).

cnf(cls_order__less__trans_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).

cnf(cls_xt1_I8_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).

cnf(cls_xt1_I7_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).

cnf(cls_xt1_I10_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).

cnf(cls_sgn__mult_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X2,X1),c_HOL_Osgn__class_Osgn(X3,X1),X1)
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__mult_0) ).

cnf(cls_sgn__times_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X2,X1),c_HOL_Osgn__class_Osgn(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__times_0) ).

cnf(cls_norm__mult_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__mult_0) ).

cnf(cls_mult__left__idem_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__idem_0) ).

cnf(cls_real__le__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__trans_0) ).

cnf(cls_Rational_Oordered__idom__class_Osgn__greater_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Rational_Oordered__idom__class_Osgn__greater_0) ).

cnf(cls_Rational_Oordered__idom__class_Osgn__less_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_Osgn__class_Osgn(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Rational_Oordered__idom__class_Osgn__less_0) ).

cnf(cls_less__le__not__le_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_2) ).

cnf(cls_ln__inj__iff_0,axiom,
    ( X1 = X2
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__inj__iff_0) ).

cnf(cls_divide__eq__eq_4,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_4) ).

cnf(cls_eq__divide__eq_4,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_4) ).

cnf(cls_Rational_Oordered__idom__class_Osgn__less_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Rational_Oordered__idom__class_Osgn__less_1) ).

cnf(cls_Rational_Oordered__idom__class_Osgn__greater_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Rational_Oordered__idom__class_Osgn__greater_1) ).

cnf(cls_class__ringb_Oadd__cancel_0,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).

cnf(cls_eq__divide__eq_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1) = X2
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_0) ).

cnf(cls_divide__eq__eq_3,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = X2
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_3) ).

cnf(cls_divide__eq__eq_0,axiom,
    ( X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_0) ).

cnf(cls_eq__divide__eq_3,axiom,
    ( X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_3) ).

cnf(cls_order__antisym_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).

cnf(cls_order__eq__iff_2,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).

cnf(cls_order__antisym__conv_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls_add__right__cancel_0,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__cancel_0) ).

cnf(cls_add__left__cancel_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__cancel_0) ).

cnf(cls_add__imp__eq_0,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__imp__eq_0) ).

cnf(cls_less__le__not__le_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).

cnf(cls_order__less__asym_H_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).

cnf(cls_order__less__asym_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_0) ).

cnf(cls_linorder__antisym__conv2_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).

cnf(cls_linorder__not__less_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).

cnf(cls_linorder__not__le_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).

cnf(cls_not__less__iff__gr__or__eq_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).

cnf(cls_xt1_I9_J_0,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).

cnf(cls_divide__eq__imp_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__imp_0) ).

cnf(cls_eq__divide__imp_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__imp_0) ).

cnf(cls_zero__le__square_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__square_0) ).

cnf(cls_real__mult__right__cancel_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X3
    | c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__right__cancel_0) ).

cnf(cls_real__mult__left__cancel_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = X3
    | c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__left__cancel_0) ).

cnf(cls_real__le__antisym_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).

cnf(cls_not__real__square__gt__zero_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__real__square__gt__zero_0) ).

cnf(cls_zero__less__norm__iff_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_0) ).

cnf(cls_linorder__antisym__conv1_0,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).

cnf(cls_linorder__antisym__conv2_0,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).

cnf(cls_order__less__le_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_2) ).

cnf(cls_order__le__less_0,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_0) ).

cnf(cls_order__le__neq__trans_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).

cnf(cls_order__neq__le__trans_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).

cnf(cls_xt1_I12_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).

cnf(cls_xt1_I11_J_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).

cnf(cls_order__less__imp__le_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).

cnf(cls_order__le__less_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_1) ).

cnf(cls_ln__less__self_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ln__less__self_0) ).

cnf(cls_real__less__all__preal_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__all__preal_0) ).

cnf(cls_norm__le__zero__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__le__zero__iff_0) ).

cnf(cls_real__less__def_2,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_2) ).

cnf(cls_real__less__def_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).

cnf(cls_norm__not__less__zero_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__not__less__zero_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_0) ).

cnf(cls_linorder__neqE_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).

cnf(cls_linorder__less__linear_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).

cnf(cls_linorder__antisym__conv3_0,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).

cnf(cls_not__less__iff__gr__or__eq_0,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).

cnf(cls_linorder__neqE__ordered__idom_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | X3 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).

cnf(cls_linorder__linear_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).

cnf(cls_linorder__antisym__conv1_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X2,X1)
    | c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).

cnf(cls_linorder__not__le_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).

cnf(cls_not__leE_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_0) ).

cnf(cls_linorder__not__less_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).

cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).

cnf(cls_class__semiring_Oadd__c_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).

cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

cnf(cls_class__semiring_Omul__c_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).

cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).

cnf(cls_real__less__all__real2_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__all__real2_0) ).

cnf(cls_mult__eq__0__iff_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_0) ).

cnf(cls_no__zero__divisors_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_no__zero__divisors_0) ).

cnf(cls_no__zero__divirors__neq0_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_no__zero__divirors__neq0_0) ).

cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).

cnf(cls_real__le__linear_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__linear_0) ).

cnf(cls_real__mult__commute_0,axiom,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).

cnf(cls_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/sandbox2/benchmark/theBenchmark.p',cls_field__power__not__zero_0) ).

cnf(cls_double__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_0) ).

cnf(cls_norm__le__zero__iff_1,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__le__zero__iff_1) ).

cnf(cls_zero__less__norm__iff_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__norm__iff_1) ).

cnf(cls_order__less__irrefl_0,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).

cnf(cls_linorder__neq__iff_1,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).

cnf(cls_order__less__le_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).

cnf(cls_norm__ge__zero_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).

cnf(cls_divide__self__if_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self__if_0) ).

cnf(cls_real__less__def_1,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).

cnf(cls_poly__bound__exists_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_poly__bound__exists_0) ).

cnf(cls_divide__eq__eq_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_1) ).

cnf(cls_divide__zero_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero_0) ).

cnf(cls_eq__divide__eq_2,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__divide__eq_2) ).

cnf(cls_double__eq__0__iff_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_1) ).

cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
    ( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).

cnf(cls_mult__zero__left_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__left_0) ).

cnf(cls_mult__eq__0__iff_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_1) ).

cnf(cls_class__semiring_Omul__0_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__0_0) ).

cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I9_J_0) ).

cnf(cls_mult_Ozero__left_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ozero__left_0) ).

cnf(cls_mult__left_Ozero_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left_Ozero_0) ).

cnf(cls_divide__zero__left_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__zero__left_0) ).

cnf(cls_divide_Ozero_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_Ozero_0) ).

cnf(cls_mult__zero__right_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__right_0) ).

cnf(cls_mult__eq__0__iff_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_2) ).

cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_J_0) ).

cnf(cls_mult__right_Ozero_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right_Ozero_0) ).

cnf(cls_mult_Ozero__right_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult_Ozero__right_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_add__0__left_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__0__left_0) ).

cnf(cls_comm__monoid__add_Omult__1_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1_0) ).

cnf(cls_class__semiring_Oadd__0_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__0_0) ).

cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).

cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).

cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1__right_0) ).

cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).

cnf(cls_mult__idem_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X2,X1) = X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__idem_0) ).

cnf(cls_real__gt__zero__preal__Ex_1,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__gt__zero__preal__Ex_1) ).

cnf(cls_real__of__preal__zero__less_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__of__preal__zero__less_0) ).

cnf(cls_norm__sgn_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__sgn_0) ).

cnf(cls_order__eq__refl_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

cnf(cls_order__eq__iff_0,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

cnf(cls_sgn__sgn_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__sgn_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_real__le__refl_0,axiom,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__refl_0) ).

cnf(cls_sgn__zero__iff_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__zero__iff_0) ).

cnf(cls_sgn__0__0_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__0__0_0) ).

cnf(cls_norm__eq__zero_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(X2,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__eq__zero_0) ).

cnf(cls_sgn0_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osgn__if(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn0_0) ).

cnf(cls_sgn__zero_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__zero_0) ).

cnf(cls_sgn__0__0_1,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sgn__0__0_1) ).

cnf(cls_norm__zero_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__zero_0) ).

cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).

cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if) ).

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/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors) ).

cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
    class_Power_Opower(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Power_Opower) ).

cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
    class_Power_Opower(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Power_Opower) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).

cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).

cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).

cnf(i_0_504,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__nonneg__eq__0__iff_2 ).

cnf(i_0_505,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
    cls_sum__squares__gt__zero__iff_0,
    [final] ).

cnf(i_0_506,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
    | X5 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_add__frac__eq_0,
    [final] ).

cnf(i_0_507,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_sum__squares__le__zero__iff_0,
    [final] ).

cnf(i_0_508,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_sum__squares__le__zero__iff_1,
    [final] ).

cnf(i_0_509,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_not__sum__squares__lt__zero_0,
    [final] ).

cnf(i_0_510,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1),X5,X1)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    cls_combine__common__factor_0,
    [final] ).

cnf(i_0_511,axiom,
    ( X3 = X5
    | X2 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_class__ringb_Oadd__mul__solve_0,
    [final] ).

cnf(i_0_512,axiom,
    ( X3 = X5
    | X2 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_class__ringb_Onoteq__reduce_0,
    [final] ).

cnf(i_0_513,negated_conjecture,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    cls_conjecture_2,
    [final] ).

cnf(i_0_514,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__le__eq_9,
    [final] ).

cnf(i_0_515,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__less__eq_9,
    [final] ).

cnf(i_0_516,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__le__eq_8,
    [final] ).

cnf(i_0_517,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__less__eq_8,
    [final] ).

cnf(i_0_518,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_le__divide__eq_9,
    [final] ).

cnf(i_0_519,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_le__divide__eq_8,
    [final] ).

cnf(i_0_520,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_less__divide__eq_9,
    [final] ).

cnf(i_0_521,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_less__divide__eq_8,
    [final] ).

cnf(i_0_522,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_divide__left__mono__neg_0,
    [final] ).

cnf(i_0_523,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_divide__left__mono_0,
    [final] ).

cnf(i_0_524,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    cls_divide__strict__left__mono_0,
    [final] ).

cnf(i_0_525,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_divide__strict__left__mono__neg_0,
    [final] ).

cnf(i_0_526,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_sum__squares__le__zero__iff_2,
    [final] ).

cnf(i_0_527,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(X4,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X3,X1),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),X4,tc_RealDef_Oreal) ),
    cls_norm__mult__less_0,
    [final] ).

cnf(i_0_528,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I15_J_0,
    [final] ).

cnf(i_0_529,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I14_J_0,
    [final] ).

cnf(i_0_530,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_mult__mono_H_0,
    [final] ).

cnf(i_0_531,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_mult__mono_0,
    [final] ).

cnf(i_0_532,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X5,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_frac__le_0,
    [final] ).

cnf(i_0_533,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_mult__less__le__imp__less_0,
    [final] ).

cnf(i_0_534,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_mult__le__less__imp__less_0,
    [final] ).

cnf(i_0_535,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_mult__strict__mono_H_0,
    [final] ).

cnf(i_0_536,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_mult__strict__mono_0,
    [final] ).

cnf(i_0_537,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X5,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_frac__less_0,
    [final] ).

cnf(i_0_538,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X5,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X5,X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_frac__less2_0,
    [final] ).

cnf(i_0_539,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_sum__squares__gt__zero__iff_1,
    [final] ).

cnf(i_0_540,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_sum__squares__gt__zero__iff_2,
    [final] ).

cnf(i_0_541,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_sum__squares__ge__zero_0,
    [final] ).

cnf(i_0_542,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    cls_divide__le__eq_5,
    [final] ).

cnf(i_0_543,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    cls_divide__less__eq_5,
    [final] ).

cnf(i_0_544,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    cls_divide__le__eq_1,
    [final] ).

cnf(i_0_545,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    cls_divide__le__eq_4,
    [final] ).

cnf(i_0_546,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    cls_divide__less__eq_1,
    [final] ).

cnf(i_0_547,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),X2,X1) ),
    cls_divide__less__eq_4,
    [final] ).

cnf(i_0_548,axiom,
    ( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
    cls_le__divide__eq_1,
    [final] ).

cnf(i_0_549,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_le__divide__eq_5,
    [final] ).

cnf(i_0_550,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_le__divide__eq_4,
    [final] ).

cnf(i_0_551,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X4,X1),X1) ),
    cls_less__divide__eq_1,
    [final] ).

cnf(i_0_552,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_less__divide__eq_5,
    [final] ).

cnf(i_0_553,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_less__divide__eq_4,
    [final] ).

cnf(i_0_554,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__le__eq_7,
    [final] ).

cnf(i_0_555,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__less__eq_7,
    [final] ).

cnf(i_0_556,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_le__divide__eq_7,
    [final] ).

cnf(i_0_557,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_less__divide__eq_7,
    [final] ).

cnf(i_0_558,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
    cls_mult__right__le__imp__le_0,
    [final] ).

cnf(i_0_559,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_mult__left__le__imp__le_0,
    [final] ).

cnf(i_0_560,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_mult__le__cancel__left__pos_0,
    [final] ).

cnf(i_0_561,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
    cls_mult__right__less__imp__less_0,
    [final] ).

cnf(i_0_562,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_mult__left__less__imp__less_0,
    [final] ).

cnf(i_0_563,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
    cls_mult__less__imp__less__right_0,
    [final] ).

cnf(i_0_564,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_mult__less__imp__less__left_0,
    [final] ).

cnf(i_0_565,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] ).

cnf(i_0_566,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_mult__less__cancel__left__pos_0,
    [final] ).

cnf(i_0_567,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__cancel__left__neg_0,
    [final] ).

cnf(i_0_568,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__less__cancel__left__neg_0,
    [final] ).

cnf(i_0_569,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1),X3,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_add__frac__num_0,
    [final] ).

cnf(i_0_570,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1),X4,X1)
    | X4 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_add__num__frac_0,
    [final] ).

cnf(i_0_571,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    cls_real__mult__le__cancel__iff1_0,
    [final] ).

cnf(i_0_572,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    cls_real__mult__le__cancel__iff2_0,
    [final] ).

cnf(i_0_573,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    cls_real__mult__less__iff1_0,
    [final] ).

cnf(i_0_574,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_mult__less__cancel__left__disj_0,
    [final] ).

cnf(i_0_575,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    cls_mult__less__cancel__right__disj_0,
    [final] ).

cnf(i_0_576,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Oadd__mul__solve_1,
    [final] ).

cnf(i_0_577,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Onoteq__reduce_1,
    [final] ).

cnf(i_0_578,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X5,X1),X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_mult__frac__frac_0,
    [final] ).

cnf(i_0_579,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_mult__less__cancel__right__disj_1,
    [final] ).

cnf(i_0_580,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    cls_mult__less__cancel__left__disj_1,
    [final] ).

cnf(i_0_581,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_mult__less__cancel__left__disj_2,
    [final] ).

cnf(i_0_582,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    cls_mult__less__cancel__right__disj_2,
    [final] ).

cnf(i_0_583,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I20_J_0,
    [final] ).

cnf(i_0_584,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I13_J_0,
    [final] ).

cnf(i_0_585,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    cls_mult__less__cancel__right__disj_3,
    [final] ).

cnf(i_0_586,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    cls_mult__less__cancel__left__disj_3,
    [final] ).

cnf(i_0_587,axiom,
    ( X4 = X5
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X5,X1),X1) ),
    cls_class__ringb_Oadd__scale__eq__noteq_0,
    [final] ).

cnf(i_0_588,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    cls_le__divide__eq_0,
    [final] ).

cnf(i_0_589,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__le__eq_6,
    [final] ).

cnf(i_0_590,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    cls_less__divide__eq_0,
    [final] ).

cnf(i_0_591,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
    cls_divide__less__eq_6,
    [final] ).

cnf(i_0_592,axiom,
    ( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
    cls_divide__le__eq_0,
    [final] ).

cnf(i_0_593,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_le__divide__eq_6,
    [final] ).

cnf(i_0_594,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X1),X3,X1) ),
    cls_divide__less__eq_0,
    [final] ).

cnf(i_0_595,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1) ),
    cls_less__divide__eq_6,
    [final] ).

cnf(i_0_596,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_mult__imp__div__pos__le_0,
    [final] ).

cnf(i_0_597,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_mult__imp__div__pos__less_0,
    [final] ).

cnf(i_0_598,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_mult__imp__le__div__pos_0,
    [final] ).

cnf(i_0_599,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_mult__imp__less__div__pos_0,
    [final] ).

cnf(i_0_600,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(X5,X4,X1)
    | ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
    cls_le__add__right__mono_0,
    [final] ).

cnf(i_0_601,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_norm__mult__ineq_0,
    [final] ).

cnf(i_0_602,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    cls_add__le__cancel__right_0,
    [final] ).

cnf(i_0_603,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    cls_add__le__cancel__left_0,
    [final] ).

cnf(i_0_604,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
    cls_add__less__cancel__right_0,
    [final] ).

cnf(i_0_605,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
    cls_add__less__cancel__left_0,
    [final] ).

cnf(i_0_606,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Otimes__class_Otimes(X3,c_RealVector_Onorm__class_Onorm(X4,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    cls_norm__ratiotest__lemma_0,
    [final] ).

cnf(i_0_607,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_divide__right__mono_0,
    [final] ).

cnf(i_0_608,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_divide__right__mono__neg_0,
    [final] ).

cnf(i_0_609,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] ).

cnf(i_0_610,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Omult__mono1(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_mult__mono1_0,
    [final] ).

cnf(i_0_611,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Omult__mono(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_mult__left__mono_0,
    [final] ).

cnf(i_0_612,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__le__cancel__left__pos_1,
    [final] ).

cnf(i_0_613,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Omult__mono(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_mult__right__mono_0,
    [final] ).

cnf(i_0_614,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_mult__strict__left__mono__comm_0,
    [final] ).

cnf(i_0_615,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_mult__strict__left__mono_0,
    [final] ).

cnf(i_0_616,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__less__cancel__left__pos_1,
    [final] ).

cnf(i_0_617,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__less__cancel__left__disj_4,
    [final] ).

cnf(i_0_618,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_mult__strict__right__mono_0,
    [final] ).

cnf(i_0_619,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_mult__less__cancel__right__disj_4,
    [final] ).

cnf(i_0_620,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_divide__strict__right__mono_0,
    [final] ).

cnf(i_0_621,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_mult__left__mono__neg_0,
    [final] ).

cnf(i_0_622,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__cancel__left__neg_1,
    [final] ).

cnf(i_0_623,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_mult__right__mono__neg_0,
    [final] ).

cnf(i_0_624,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__less__cancel__left__neg_1,
    [final] ).

cnf(i_0_625,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    cls_mult__strict__left__mono__neg_0,
    [final] ).

cnf(i_0_626,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__less__cancel__left__disj_5,
    [final] ).

cnf(i_0_627,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
    cls_mult__strict__right__mono__neg_0,
    [final] ).

cnf(i_0_628,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__less__cancel__right__disj_5,
    [final] ).

cnf(i_0_629,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
    cls_divide__strict__right__mono__neg_0,
    [final] ).

cnf(i_0_630,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    cls_divide__le__eq_2,
    [final] ).

cnf(i_0_631,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1) ),
    cls_divide__less__eq_2,
    [final] ).

cnf(i_0_632,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    cls_le__divide__eq_2,
    [final] ).

cnf(i_0_633,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X4,X3,X1),X1) ),
    cls_less__divide__eq_2,
    [final] ).

cnf(i_0_634,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__mono_0,
    [final] ).

cnf(i_0_635,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__less__le__mono_0,
    [final] ).

cnf(i_0_636,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__le__less__mono_0,
    [final] ).

cnf(i_0_637,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X5,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__strict__mono_0,
    [final] ).

cnf(i_0_638,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] ).

cnf(i_0_639,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] ).

cnf(i_0_640,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_sum__squares__eq__zero__iff_0,
    [final] ).

cnf(i_0_641,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_sum__squares__eq__zero__iff_1,
    [final] ).

cnf(i_0_642,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I1_J_0,
    [final] ).

cnf(i_0_643,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] ).

cnf(i_0_644,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] ).

cnf(i_0_645,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    cls_comm__semiring__class_Odistrib_0,
    [final] ).

cnf(i_0_646,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I8_J_0,
    [final] ).

cnf(i_0_647,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult_Oadd__left_0,
    [final] ).

cnf(i_0_648,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult__left_Oadd_0,
    [final] ).

cnf(i_0_649,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_add__divide__distrib_0,
    [final] ).

cnf(i_0_650,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X2,X4,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    cls_divide_Oadd_0,
    [final] ).

cnf(i_0_651,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Omul__d_0,
    [final] ).

cnf(i_0_652,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult_Oadd__right_0,
    [final] ).

cnf(i_0_653,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult__right_Oadd_0,
    [final] ).

cnf(i_0_654,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_real__mult__le__cancel__iff2_1,
    [final] ).

cnf(i_0_655,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    cls_real__mult__le__cancel__iff1_1,
    [final] ).

cnf(i_0_656,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_real__mult__less__mono2_0,
    [final] ).

cnf(i_0_657,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    cls_real__mult__less__iff1_1,
    [final] ).

cnf(i_0_658,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),X3,tc_RealDef_Oreal) ),
    cls_poly__bound__exists_1,
    [final] ).

cnf(i_0_659,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    cls_zero__less__mult__pos2_0,
    [final] ).

cnf(i_0_660,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    cls_zero__less__mult__pos_0,
    [final] ).

cnf(i_0_661,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
    cls_add__cancel__21_0,
    [final] ).

cnf(i_0_662,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__le__0__iff_1,
    [final] ).

cnf(i_0_663,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__less__0__iff_1,
    [final] ).

cnf(i_0_664,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__le__0__iff_0,
    [final] ).

cnf(i_0_665,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__le__0__iff_3,
    [final] ).

cnf(i_0_666,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__less__0__iff_0,
    [final] ).

cnf(i_0_667,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__less__0__iff_3,
    [final] ).

cnf(i_0_668,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    cls_zero__le__divide__iff_0,
    [final] ).

cnf(i_0_669,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    cls_zero__le__divide__iff_3,
    [final] ).

cnf(i_0_670,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    cls_zero__le__divide__iff_2,
    [final] ).

cnf(i_0_671,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    cls_zero__le__divide__iff_1,
    [final] ).

cnf(i_0_672,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    cls_zero__less__divide__iff_0,
    [final] ).

cnf(i_0_673,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    cls_zero__less__divide__iff_3,
    [final] ).

cnf(i_0_674,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    cls_zero__less__divide__iff_2,
    [final] ).

cnf(i_0_675,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    cls_zero__less__divide__iff_1,
    [final] ).

cnf(i_0_676,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__le__0__iff_2,
    [final] ).

cnf(i_0_677,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__less__0__iff_2,
    [final] ).

cnf(i_0_678,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_divide__le__eq_3,
    [final] ).

cnf(i_0_679,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_divide__less__eq_3,
    [final] ).

cnf(i_0_680,axiom,
    ( c_lessequals(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_le__divide__eq_3,
    [final] ).

cnf(i_0_681,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_less__divide__eq_3,
    [final] ).

cnf(i_0_682,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__0__iff_1,
    [final] ).

cnf(i_0_683,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__0__iff_0,
    [final] ).

cnf(i_0_684,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__0__iff_3,
    [final] ).

cnf(i_0_685,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    cls_zero__le__mult__iff_0,
    [final] ).

cnf(i_0_686,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    cls_zero__le__mult__iff_3,
    [final] ).

cnf(i_0_687,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    cls_zero__le__mult__iff_2,
    [final] ).

cnf(i_0_688,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    cls_zero__le__mult__iff_1,
    [final] ).

cnf(i_0_689,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__0__iff_2,
    [final] ).

cnf(i_0_690,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__le__0__iff_5,
    [final] ).

cnf(i_0_691,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_divide__le__0__iff_4,
    [final] ).

cnf(i_0_692,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__less__0__iff_5,
    [final] ).

cnf(i_0_693,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_divide__less__0__iff_4,
    [final] ).

cnf(i_0_694,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__le__divide__iff_4,
    [final] ).

cnf(i_0_695,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__less__divide__iff_4,
    [final] ).

cnf(i_0_696,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_zero__le__divide__iff_5,
    [final] ).

cnf(i_0_697,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_zero__less__divide__iff_5,
    [final] ).

cnf(i_0_698,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_split__mult__neg__le_1,
    [final] ).

cnf(i_0_699,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__nonpos__nonneg_0,
    [final] ).

cnf(i_0_700,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_mult__nonneg__nonpos2_0,
    [final] ).

cnf(i_0_701,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_split__mult__neg__le_0,
    [final] ).

cnf(i_0_702,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__nonneg__nonpos_0,
    [final] ).

cnf(i_0_703,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__le__0__iff_5,
    [final] ).

cnf(i_0_704,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__le__0__iff_4,
    [final] ).

cnf(i_0_705,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__nonpos__pos_0,
    [final] ).

cnf(i_0_706,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_divide__nonneg__neg_0,
    [final] ).

cnf(i_0_707,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__neg__pos_0,
    [final] ).

cnf(i_0_708,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_mult__pos__neg2_0,
    [final] ).

cnf(i_0_709,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__pos__neg_0,
    [final] ).

cnf(i_0_710,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__neg__pos_0,
    [final] ).

cnf(i_0_711,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_divide__pos__neg_0,
    [final] ).

cnf(i_0_712,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__nonpos__nonpos_0,
    [final] ).

cnf(i_0_713,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__neg__nonpos_0,
    [final] ).

cnf(i_0_714,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__nonpos__neg_0,
    [final] ).

cnf(i_0_715,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_add__neg__neg_0,
    [final] ).

cnf(i_0_716,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__nonneg_0,
    [final] ).

cnf(i_0_717,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_split__mult__pos__le_0,
    [final] ).

cnf(i_0_718,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__nonneg__nonneg_0,
    [final] ).

cnf(i_0_719,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__le__mult__iff_4,
    [final] ).

cnf(i_0_720,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_divide__nonneg__pos_0,
    [final] ).

cnf(i_0_721,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__pos__nonneg_0,
    [final] ).

cnf(i_0_722,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__pos_0,
    [final] ).

cnf(i_0_723,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__pos__pos_0,
    [final] ).

cnf(i_0_724,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_mult__pos__pos_0,
    [final] ).

cnf(i_0_725,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_divide__pos__pos_0,
    [final] ).

cnf(i_0_726,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_split__mult__pos__le_1,
    [final] ).

cnf(i_0_727,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__nonpos__nonpos_0,
    [final] ).

cnf(i_0_728,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_zero__le__mult__iff_5,
    [final] ).

cnf(i_0_729,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__nonpos__neg_0,
    [final] ).

cnf(i_0_730,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_mult__neg__neg_0,
    [final] ).

cnf(i_0_731,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_divide__neg__neg_0,
    [final] ).

cnf(i_0_732,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_add__le__cancel__left_1,
    [final] ).

cnf(i_0_733,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_add__left__mono_0,
    [final] ).

cnf(i_0_734,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__le__cancel__right_1,
    [final] ).

cnf(i_0_735,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_add__right__mono_0,
    [final] ).

cnf(i_0_736,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_add__strict__left__mono_0,
    [final] ).

cnf(i_0_737,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    cls_add__less__cancel__left_1,
    [final] ).

cnf(i_0_738,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__strict__right__mono_0,
    [final] ).

cnf(i_0_739,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_add__less__cancel__right_1,
    [final] ).

cnf(i_0_740,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
    cls_add__increasing2_0,
    [final] ).

cnf(i_0_741,axiom,
    ( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_add__increasing_0,
    [final] ).

cnf(i_0_742,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_add__strict__increasing_0,
    [final] ).

cnf(i_0_743,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_add__strict__increasing2_0,
    [final] ).

cnf(i_0_744,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    cls_pos__add__strict_0,
    [final] ).

cnf(i_0_745,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_mult__divide__mult__cancel__left_0,
    [final] ).

cnf(i_0_746,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X4,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_mult__divide__mult__cancel__right_0,
    [final] ).

cnf(i_0_747,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_real__mult__order_0,
    [final] ).

cnf(i_0_748,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] ).

cnf(i_0_749,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X4,X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_mult__frac__num_0,
    [final] ).

cnf(i_0_750,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_ln__le__cancel__iff_0,
    [final] ).

cnf(i_0_751,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_ln__less__cancel__iff_0,
    [final] ).

cnf(i_0_752,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    cls_zero__le__double__add__iff__zero__le__single__add_0,
    [final] ).

cnf(i_0_753,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    cls_zero__less__double__add__iff__zero__less__single__add_0,
    [final] ).

cnf(i_0_754,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__le__zero__iff__single__add__le__zero_0,
    [final] ).

cnf(i_0_755,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] ).

cnf(i_0_756,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_even__less__0__iff_0,
    [final] ).

cnf(i_0_757,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__less__zero__iff__single__less__zero_0,
    [final] ).

cnf(i_0_758,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I23_J_0,
    [final] ).

cnf(i_0_759,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I16_J_0,
    [final] ).

cnf(i_0_760,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,
    [final] ).

cnf(i_0_761,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__assoc_0,
    [final] ).

cnf(i_0_762,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I21_J_0,
    [final] ).

cnf(i_0_763,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] ).

cnf(i_0_764,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,
    [final] ).

cnf(i_0_765,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I17_J_0,
    [final] ).

cnf(i_0_766,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__a_0,
    [final] ).

cnf(i_0_767,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I25_J_0,
    [final] ).

cnf(i_0_768,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Omul__a_0,
    [final] ).

cnf(i_0_769,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I18_J_0,
    [final] ).

cnf(i_0_770,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    cls_add__cancel__21_1,
    [final] ).

cnf(i_0_771,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__left__commute_0,
    [final] ).

cnf(i_0_772,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I22_J_0,
    [final] ).

cnf(i_0_773,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I19_J_0,
    [final] ).

cnf(i_0_774,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_sum__squares__eq__zero__iff_2,
    [final] ).

cnf(i_0_775,axiom,
    ( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_ln__le__cancel__iff_1,
    [final] ).

cnf(i_0_776,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_ln__less__cancel__iff_1,
    [final] ).

cnf(i_0_777,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_real__mult__assoc_0,
    [final] ).

cnf(i_0_778,axiom,
    ( X5 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Otimes__class_Otimes(X2,X5,X1) = c_HOL_Otimes__class_Otimes(X4,X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X3,X1) != c_HOL_Oinverse__class_Odivide(X4,X5,X1) ),
    cls_frac__eq__eq_0,
    [final] ).

cnf(i_0_779,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X5 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,X5,X1) = c_HOL_Oinverse__class_Odivide(X4,X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Otimes__class_Otimes(X4,X5,X1) ),
    cls_frac__eq__eq_1,
    [final] ).

cnf(i_0_780,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__eq__0__iff_0,
    [final] ).

cnf(i_0_781,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_add__nonneg__eq__0__iff_1,
    [final] ).

cnf(i_0_782,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_not__square__less__zero_0,
    [final] ).

cnf(i_0_783,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_not__real__square__gt__zero_1,
    [final] ).

cnf(i_0_784,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__le__zero__iff__single__add__le__zero_1,
    [final] ).

cnf(i_0_785,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_even__less__0__iff_1,
    [final] ).

cnf(i_0_786,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_double__add__less__zero__iff__single__less__zero_1,
    [final] ).

cnf(i_0_787,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] ).

cnf(i_0_788,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] ).

cnf(i_0_789,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__le__double__add__iff__zero__le__single__add_1,
    [final] ).

cnf(i_0_790,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] ).

cnf(i_0_791,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_zero__less__double__add__iff__zero__less__single__add_1,
    [final] ).

cnf(i_0_792,axiom,
    ( c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_Rats__dense__in__nn__real_2,
    [final] ).

cnf(i_0_793,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_Rats__dense__in__nn__real_1,
    [final] ).

cnf(i_0_794,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_order__trans_0,
    [final] ).

cnf(i_0_795,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_xt1_I6_J_0,
    [final] ).

cnf(i_0_796,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_order__less__le__trans_0,
    [final] ).

cnf(i_0_797,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_order__le__less__trans_0,
    [final] ).

cnf(i_0_798,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
    cls_order__less__trans_0,
    [final] ).

cnf(i_0_799,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_lessequals(X4,X3,X1) ),
    cls_xt1_I8_J_0,
    [final] ).

cnf(i_0_800,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    cls_xt1_I7_J_0,
    [final] ).

cnf(i_0_801,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
    cls_xt1_I10_J_0,
    [final] ).

cnf(i_0_802,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X2,X1),c_HOL_Osgn__class_Osgn(X3,X1),X1)
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    cls_sgn__mult_0,
    [final] ).

cnf(i_0_803,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X2,X1),c_HOL_Osgn__class_Osgn(X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_sgn__times_0,
    [final] ).

cnf(i_0_804,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X2,X1),c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
    cls_norm__mult_0,
    [final] ).

cnf(i_0_805,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    cls_mult__left__idem_0,
    [final] ).

cnf(i_0_806,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    cls_real__le__trans_0,
    [final] ).

cnf(i_0_807,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) ),
    cls_Rational_Oordered__idom__class_Osgn__greater_0,
    [final] ).

cnf(i_0_808,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_Osgn__class_Osgn(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    cls_Rational_Oordered__idom__class_Osgn__less_0,
    [final] ).

cnf(i_0_809,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_less__le__not__le_2,
    [final] ).

cnf(i_0_810,axiom,
    ( X1 = X2
    | c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_ln__inj__iff_0,
    [final] ).

cnf(i_0_811,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__eq__eq_4,
    [final] ).

cnf(i_0_812,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_eq__divide__eq_4,
    [final] ).

cnf(i_0_813,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(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_Rational_Oordered__idom__class_Osgn__less_1,
    [final] ).

cnf(i_0_814,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    cls_Rational_Oordered__idom__class_Osgn__greater_1,
    [final] ).

cnf(i_0_815,axiom,
    ( X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    cls_class__ringb_Oadd__cancel_0,
    [final] ).

cnf(i_0_816,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_504]),
    [final] ).

cnf(i_0_817,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1) = X2
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_eq__divide__eq_0,
    [final] ).

cnf(i_0_818,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = X2
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__eq__eq_3,
    [final] ).

cnf(i_0_819,axiom,
    ( X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X3,X1),X3,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__eq__eq_0,
    [final] ).

cnf(i_0_820,axiom,
    ( X2 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_eq__divide__eq_3,
    [final] ).

cnf(i_0_821,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__antisym_0,
    [final] ).

cnf(i_0_822,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__eq__iff_2,
    [final] ).

cnf(i_0_823,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_order__antisym__conv_0,
    [final] ).

cnf(i_0_824,axiom,
    ( X2 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
    cls_add__right__cancel_0,
    [final] ).

cnf(i_0_825,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    cls_add__left__cancel_0,
    [final] ).

cnf(i_0_826,axiom,
    ( X3 = X4
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
    cls_add__imp__eq_0,
    [final] ).

cnf(i_0_827,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_less__le__not__le_1,
    [final] ).

cnf(i_0_828,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_order__less__asym_H_0,
    [final] ).

cnf(i_0_829,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_order__less__asym_0,
    [final] ).

cnf(i_0_830,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_linorder__antisym__conv2_1,
    [final] ).

cnf(i_0_831,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_linorder__not__less_1,
    [final] ).

cnf(i_0_832,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_linorder__not__le_1,
    [final] ).

cnf(i_0_833,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_not__less__iff__gr__or__eq_1,
    [final] ).

cnf(i_0_834,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
    cls_xt1_I9_J_0,
    [final] ).

cnf(i_0_835,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) = X3
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_divide__eq__imp_0,
    [final] ).

cnf(i_0_836,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_eq__divide__imp_0,
    [final] ).

cnf(i_0_837,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    cls_zero__le__square_0,
    [final] ).

cnf(i_0_838,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X3
    | c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
    cls_real__mult__right__cancel_0,
    [final] ).

cnf(i_0_839,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = X3
    | c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) ),
    cls_real__mult__left__cancel_0,
    [final] ).

cnf(i_0_840,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    cls_real__le__antisym_0,
    [final] ).

cnf(i_0_841,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    cls_not__real__square__gt__zero_0,
    [final] ).

cnf(i_0_842,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal) ),
    cls_zero__less__norm__iff_0,
    [final] ).

cnf(i_0_843,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_linorder__antisym__conv1_0,
    [final] ).

cnf(i_0_844,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_linorder__antisym__conv2_0,
    [final] ).

cnf(i_0_845,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__less__le_2,
    [final] ).

cnf(i_0_846,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__le__less_0,
    [final] ).

cnf(i_0_847,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__le__neq__trans_0,
    [final] ).

cnf(i_0_848,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_order__neq__le__trans_0,
    [final] ).

cnf(i_0_849,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_xt1_I12_J_0,
    [final] ).

cnf(i_0_850,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_xt1_I11_J_0,
    [final] ).

cnf(i_0_851,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_order__less__imp__le_0,
    [final] ).

cnf(i_0_852,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
    cls_order__le__less_1,
    [final] ).

cnf(i_0_853,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_ln__less__self_0,
    [final] ).

cnf(i_0_854,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    cls_real__less__all__preal_0,
    [final] ).

cnf(i_0_855,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    cls_norm__le__zero__iff_0,
    [final] ).

cnf(i_0_856,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    cls_real__less__def_2,
    [final] ).

cnf(i_0_857,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    cls_real__less__def_0,
    [final] ).

cnf(i_0_858,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    cls_norm__not__less__zero_0,
    [final] ).

cnf(i_0_859,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] ).

cnf(i_0_860,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | X3 = X2
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__neqE_0,
    [final] ).

cnf(i_0_861,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | X3 = X2
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__less__linear_0,
    [final] ).

cnf(i_0_862,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__antisym__conv3_0,
    [final] ).

cnf(i_0_863,axiom,
    ( X2 = X3
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_not__less__iff__gr__or__eq_0,
    [final] ).

cnf(i_0_864,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | X3 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_linorder__neqE__ordered__idom_0,
    [final] ).

cnf(i_0_865,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_866,axiom,
    ( c_HOL_Oord__class_Oless(X2,X2,X1)
    | c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__antisym__conv1_1,
    [final] ).

cnf(i_0_867,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__not__le_0,
    [final] ).

cnf(i_0_868,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_not__leE_0,
    [final] ).

cnf(i_0_869,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__not__less_0,
    [final] ).

cnf(i_0_870,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__commute_0,
    [final] ).

cnf(i_0_871,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__c_0,
    [final] ).

cnf(i_0_872,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I24_J_0,
    [final] ).

cnf(i_0_873,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Omul__c_0,
    [final] ).

cnf(i_0_874,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I7_J_0,
    [final] ).

cnf(i_0_875,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_real__less__all__real2_0,
    [final] ).

cnf(i_0_876,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_mult__eq__0__iff_0,
    [final] ).

cnf(i_0_877,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_no__zero__divisors_0,
    [final] ).

cnf(i_0_878,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_no__zero__divirors__neq0_0,
    [final] ).

cnf(i_0_879,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
    cls_class__ringb_Oadd__r0__iff_0,
    [final] ).

cnf(i_0_880,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    cls_real__le__linear_0,
    [final] ).

cnf(i_0_881,axiom,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    cls_real__mult__commute_0,
    [final] ).

cnf(i_0_882,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] ).

cnf(i_0_883,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_double__eq__0__iff_0,
    [final] ).

cnf(i_0_884,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    cls_norm__le__zero__iff_1,
    [final] ).

cnf(i_0_885,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    cls_zero__less__norm__iff_1,
    [final] ).

cnf(i_0_886,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_order__less__irrefl_0,
    [final] ).

cnf(i_0_887,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_linorder__neq__iff_1,
    [final] ).

cnf(i_0_888,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
    cls_order__less__le_1,
    [final] ).

cnf(i_0_889,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    cls_norm__ge__zero_0,
    [final] ).

cnf(i_0_890,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__self__if_0,
    [final] ).

cnf(i_0_891,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    cls_real__less__def_1,
    [final] ).

cnf(i_0_892,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    cls_poly__bound__exists_0,
    [final] ).

cnf(i_0_893,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__eq__eq_1,
    [final] ).

cnf(i_0_894,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_divide__zero_0,
    [final] ).

cnf(i_0_895,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    cls_eq__divide__eq_2,
    [final] ).

cnf(i_0_896,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    cls_double__eq__0__iff_1,
    [final] ).

cnf(i_0_897,axiom,
    ( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1) ),
    cls_class__ringb_Oadd__r0__iff_1,
    [final] ).

cnf(i_0_898,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    cls_mult__zero__left_0,
    [final] ).

cnf(i_0_899,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    cls_mult__eq__0__iff_1,
    [final] ).

cnf(i_0_900,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Omul__0_0,
    [final] ).

cnf(i_0_901,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I9_J_0,
    [final] ).

cnf(i_0_902,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult_Ozero__left_0,
    [final] ).

cnf(i_0_903,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult__left_Ozero_0,
    [final] ).

cnf(i_0_904,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    cls_divide__zero__left_0,
    [final] ).

cnf(i_0_905,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    cls_divide_Ozero_0,
    [final] ).

cnf(i_0_906,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    cls_mult__zero__right_0,
    [final] ).

cnf(i_0_907,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    cls_mult__eq__0__iff_2,
    [final] ).

cnf(i_0_908,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I10_J_0,
    [final] ).

cnf(i_0_909,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult__right_Ozero_0,
    [final] ).

cnf(i_0_910,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    cls_mult_Ozero__right_0,
    [final] ).

cnf(i_0_911,negated_conjecture,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    cls_conjecture_1,
    [final] ).

cnf(i_0_912,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    cls_add__0__left_0,
    [final] ).

cnf(i_0_913,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__1_0,
    [final] ).

cnf(i_0_914,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Oadd__0_0,
    [final] ).

cnf(i_0_915,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I5_J_0,
    [final] ).

cnf(i_0_916,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    cls_monoid__add__class_Oadd__0__right_0,
    [final] ).

cnf(i_0_917,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    cls_comm__monoid__add_Omult__1__right_0,
    [final] ).

cnf(i_0_918,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    cls_class__semiring_Osemiring__rules_I6_J_0,
    [final] ).

cnf(i_0_919,axiom,
    ( c_HOL_Otimes__class_Otimes(X2,X2,X1) = X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    cls_mult__idem_0,
    [final] ).

cnf(i_0_920,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
    cls_real__gt__zero__preal__Ex_1,
    [final] ).

cnf(i_0_921,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
    cls_real__of__preal__zero__less_0,
    [final] ).

cnf(i_0_922,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    cls_norm__sgn_0,
    [final] ).

cnf(i_0_923,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_924,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_925,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_sgn__sgn_0,
    [final] ).

cnf(i_0_926,negated_conjecture,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_conjecture_0,
    [final] ).

cnf(i_0_927,axiom,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    cls_real__le__refl_0,
    [final] ).

cnf(i_0_928,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_sgn__zero__iff_0,
    [final] ).

cnf(i_0_929,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
    cls_sgn__0__0_0,
    [final] ).

cnf(i_0_930,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(X2,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    cls_norm__eq__zero_0,
    [final] ).

cnf(i_0_931,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osgn__if(X1) ),
    cls_sgn0_0,
    [final] ).

cnf(i_0_932,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    cls_sgn__zero_0,
    [final] ).

cnf(i_0_933,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    cls_sgn__0__0_1,
    [final] ).

cnf(i_0_934,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    cls_norm__zero_0,
    [final] ).

cnf(i_0_935,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Orderings_Opreorder,
    [final] ).

cnf(i_0_936,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Orderings_Olinorder,
    [final] ).

cnf(i_0_937,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Orderings_Oorder,
    [final] ).

cnf(i_0_938,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,
    [final] ).

cnf(i_0_939,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,
    [final] ).

cnf(i_0_940,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,
    [final] ).

cnf(i_0_941,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
    [final] ).

cnf(i_0_942,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
    [final] ).

cnf(i_0_943,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,
    [final] ).

cnf(i_0_944,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,
    [final] ).

cnf(i_0_945,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,
    [final] ).

cnf(i_0_946,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,
    [final] ).

cnf(i_0_947,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,
    [final] ).

cnf(i_0_948,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,
    [final] ).

cnf(i_0_949,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,
    [final] ).

cnf(i_0_950,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,
    [final] ).

cnf(i_0_951,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,
    [final] ).

cnf(i_0_952,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,
    [final] ).

cnf(i_0_953,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,
    [final] ).

cnf(i_0_954,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,
    [final] ).

cnf(i_0_955,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,
    [final] ).

cnf(i_0_956,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,
    [final] ).

cnf(i_0_957,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,
    [final] ).

cnf(i_0_958,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,
    [final] ).

cnf(i_0_959,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,
    [final] ).

cnf(i_0_960,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] ).

cnf(i_0_961,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors,
    [final] ).

cnf(i_0_962,axiom,
    class_Power_Opower(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Power_Opower,
    [final] ).

cnf(i_0_963,axiom,
    class_Power_Opower(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Power_Opower,
    [final] ).

cnf(i_0_964,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,
    [final] ).

cnf(i_0_965,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,
    [final] ).

cnf(i_0_966,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,
    [final] ).

cnf(i_0_967,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,
    [final] ).

cnf(i_0_968,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,
    [final] ).

cnf(i_0_969,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,
    [final] ).

cnf(i_0_970,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,
    [final] ).

cnf(i_0_971,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,
    [final] ).

cnf(i_0_972,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,
    [final] ).

cnf(i_0_973,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,
    [final] ).

cnf(i_0_974,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,
    [final] ).

cnf(i_0_975,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,
    [final] ).

cnf(i_0_976,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,
    [final] ).

cnf(i_0_977,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,
    [final] ).

cnf(i_0_978,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,
    [final] ).

cnf(i_0_979,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Ofield,
    [final] ).

cnf(i_0_980,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,
    [final] ).

cnf(i_0_981,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,
    [final] ).

cnf(i_0_982,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,
    [final] ).

cnf(i_0_983,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,
    [final] ).

cnf(i_0_984,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,
    [final] ).

cnf(i_0_985,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,
    [final] ).

cnf(i_0_986,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Int_Onumber__ring,
    [final] ).

cnf(i_0_987,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Int_Onumber__ring,
    [final] ).

cnf(i_0_988,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,
    [final] ).

cnf(i_0_989,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oidom,
    [final] ).

cnf(i_0_990,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,
    [final] ).

cnf(i_0_991,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,
    [final] ).

cnf(i_0_992,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,
    [final] ).

cnf(i_0_993,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,
    [final] ).

cnf(i_0_994,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,
    [final] ).

cnf(i_0_995,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,
    [final] ).

cnf(i_0_996,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
    [final] ).

cnf(i_0_997,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,
    [final] ).

cnf(i_0_998,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
    [final] ).

cnf(i_0_999,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
    [final] ).

cnf(i_0_1000,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,
    [final] ).

cnf(i_0_1001,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,
    [final] ).

cnf(i_0_1002,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,
    [final] ).

cnf(i_0_1003,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,
    [final] ).

cnf(i_0_1004,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,
    [final] ).

cnf(i_0_1005,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,
    [final] ).

cnf(i_0_1006,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,
    [final] ).

cnf(i_0_1007,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,
    [final] ).

cnf(i_0_1008,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,
    [final] ).

cnf(i_0_1009,axiom,
    X1 = X1 ).

cnf(i_0_1010,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1011,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1012,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1013,axiom,
    ( X1 != X2
    | c_HOL_Osgn__class_Osgn(X1,X3) = c_HOL_Osgn__class_Osgn(X2,X3) ) ).

cnf(i_0_1014,axiom,
    ( X1 != X2
    | c_HOL_Osgn__class_Osgn(X3,X1) = c_HOL_Osgn__class_Osgn(X3,X2) ) ).

cnf(i_0_1015,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).

cnf(i_0_1016,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).

cnf(i_0_1017,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).

cnf(i_0_1018,axiom,
    ( X1 != X2
    | c_HOL_Otimes__class_Otimes(X1,X3,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ) ).

cnf(i_0_1019,axiom,
    ( X1 != X2
    | c_HOL_Otimes__class_Otimes(X3,X1,X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ) ).

cnf(i_0_1020,axiom,
    ( X1 != X2
    | c_HOL_Otimes__class_Otimes(X3,X4,X1) = c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ).

cnf(i_0_1021,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X1,X3,X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ) ).

cnf(i_0_1022,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X1,X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ) ).

cnf(i_0_1023,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X4,X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ).

cnf(i_0_1024,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).

cnf(i_0_1025,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).

cnf(i_0_1026,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).

cnf(i_0_1027,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).

cnf(i_0_1028,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).

cnf(i_0_1029,axiom,
    ( X1 != X2
    | c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).

cnf(i_0_1030,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_1031,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | class_RealVector_Oreal__normed__algebra(X2) ) ).

cnf(i_0_1032,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1033,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_1034,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_1035,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring(X1)
    | class_Ring__and__Field_Oordered__semiring(X2) ) ).

cnf(i_0_1036,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_1037,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1038,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_1039,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | class_RealVector_Oreal__normed__vector(X2) ) ).

cnf(i_0_1040,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__mono1(X1)
    | class_Ring__and__Field_Omult__mono1(X2) ) ).

cnf(i_0_1041,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_1042,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X1,X4)
    | c_HOL_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_1043,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_1044,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__mono(X1)
    | class_Ring__and__Field_Omult__mono(X2) ) ).

cnf(i_0_1045,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_1046,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_1047,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_1048,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1049,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_1050,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_1051,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__field(X1)
    | class_RealVector_Oreal__normed__field(X2) ) ).

cnf(i_0_1052,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1053,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_1054,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_1055,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).

cnf(i_0_1056,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1057,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1058,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1059,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_1060,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_1061,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_1062,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1063,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1064,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__div__algebra(X1)
    | class_RealVector_Oreal__normed__div__algebra(X2) ) ).

cnf(i_0_1065,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1066,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1067,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1068,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
    | class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).

cnf(i_0_1069,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_1070,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1071,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1072,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | class_Ring__and__Field_Ozero__neq__one(X2) ) ).

cnf(i_0_1073,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1074,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | class_Ring__and__Field_Omult__zero(X2) ) ).

cnf(i_0_1075,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_1076,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | class_Ring__and__Field_Oring__no__zero__divisors(X2) ) ).

cnf(i_0_1077,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
    | class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_1078,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_1079,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__add(X1)
    | class_OrderedGroup_Omonoid__add(X2) ) ).

cnf(i_0_1080,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osgn__if(X1)
    | class_Ring__and__Field_Osgn__if(X2) ) ).

cnf(i_0_1081,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1082,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1083,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_1084,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_1009_001,axiom,
    X1 = X1 ).

cnf(i_0_1010_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1011_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1012_004,axiom,
    ( X1 != X2
    | c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).

cnf(i_0_1013_005,axiom,
    ( X1 != X2
    | c_HOL_Osgn__class_Osgn(X1,X3) = c_HOL_Osgn__class_Osgn(X2,X3) ) ).

cnf(i_0_1014_006,axiom,
    ( X1 != X2
    | c_HOL_Osgn__class_Osgn(X3,X1) = c_HOL_Osgn__class_Osgn(X3,X2) ) ).

cnf(i_0_1015_007,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).

cnf(i_0_1016_008,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).

cnf(i_0_1017_009,axiom,
    ( X1 != X2
    | c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).

cnf(i_0_1018_010,axiom,
    ( X1 != X2
    | c_HOL_Otimes__class_Otimes(X1,X3,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ) ).

cnf(i_0_1019_011,axiom,
    ( X1 != X2
    | c_HOL_Otimes__class_Otimes(X3,X1,X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ) ).

cnf(i_0_1020_012,axiom,
    ( X1 != X2
    | c_HOL_Otimes__class_Otimes(X3,X4,X1) = c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ).

cnf(i_0_1021_013,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X1,X3,X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ) ).

cnf(i_0_1022_014,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X1,X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ) ).

cnf(i_0_1023_015,axiom,
    ( X1 != X2
    | c_HOL_Oinverse__class_Odivide(X3,X4,X1) = c_HOL_Oinverse__class_Odivide(X3,X4,X2) ) ).

cnf(i_0_1024_016,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X1,X3) = c_RealVector_Onorm__class_Onorm(X2,X3) ) ).

cnf(i_0_1025_017,axiom,
    ( X1 != X2
    | c_RealVector_Onorm__class_Onorm(X3,X1) = c_RealVector_Onorm__class_Onorm(X3,X2) ) ).

cnf(i_0_1026_018,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).

cnf(i_0_1027_019,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).

cnf(i_0_1028_020,axiom,
    ( X1 != X2
    | c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).

cnf(i_0_1029_021,axiom,
    ( X1 != X2
    | c_Transcendental_Oln(X1) = c_Transcendental_Oln(X2) ) ).

cnf(i_0_1030_022,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | class_Ring__and__Field_Oordered__ring__strict(X2) ) ).

cnf(i_0_1031_023,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__algebra(X1)
    | class_RealVector_Oreal__normed__algebra(X2) ) ).

cnf(i_0_1032_024,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).

cnf(i_0_1033_025,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | class_Ring__and__Field_Opordered__semiring(X2) ) ).

cnf(i_0_1034_026,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).

cnf(i_0_1035_027,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semiring(X1)
    | class_Ring__and__Field_Oordered__semiring(X2) ) ).

cnf(i_0_1036_028,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__semidom(X1)
    | class_Ring__and__Field_Oordered__semidom(X2) ) ).

cnf(i_0_1037_029,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | class_OrderedGroup_Opordered__ab__group__add(X2) ) ).

cnf(i_0_1038_030,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).

cnf(i_0_1039_031,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__vector(X1)
    | class_RealVector_Oreal__normed__vector(X2) ) ).

cnf(i_0_1040_032,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__mono1(X1)
    | class_Ring__and__Field_Omult__mono1(X2) ) ).

cnf(i_0_1041_033,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X2,X3,X4) ) ).

cnf(i_0_1042_034,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X1,X4)
    | c_HOL_Oord__class_Oless(X3,X2,X4) ) ).

cnf(i_0_1043_035,axiom,
    ( X1 != X2
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ) ).

cnf(i_0_1044_036,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__mono(X1)
    | class_Ring__and__Field_Omult__mono(X2) ) ).

cnf(i_0_1045_037,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).

cnf(i_0_1046_038,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__ring(X1)
    | class_Ring__and__Field_Opordered__ring(X2) ) ).

cnf(i_0_1047_039,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).

cnf(i_0_1048_040,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1049_041,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(X2) ) ).

cnf(i_0_1050_042,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | class_Ring__and__Field_Ocomm__semiring(X2) ) ).

cnf(i_0_1051_043,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__field(X1)
    | class_RealVector_Oreal__normed__field(X2) ) ).

cnf(i_0_1052_044,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(X2) ) ).

cnf(i_0_1053_045,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).

cnf(i_0_1054_046,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ofield(X1)
    | class_Ring__and__Field_Ofield(X2) ) ).

cnf(i_0_1055_047,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).

cnf(i_0_1056_048,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(X2) ) ).

cnf(i_0_1057_049,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(X2) ) ).

cnf(i_0_1058_050,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | class_OrderedGroup_Olordered__ab__group__add(X2) ) ).

cnf(i_0_1059_051,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(X2) ) ).

cnf(i_0_1060_052,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__mult(X1)
    | class_OrderedGroup_Omonoid__mult(X2) ) ).

cnf(i_0_1061_053,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | class_OrderedGroup_Oab__semigroup__mult(X2) ) ).

cnf(i_0_1062_054,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1063_055,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1064_056,axiom,
    ( X1 != X2
    | ~ class_RealVector_Oreal__normed__div__algebra(X1)
    | class_RealVector_Oreal__normed__div__algebra(X2) ) ).

cnf(i_0_1065_057,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1066_058,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1067_059,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1068_060,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
    | class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).

cnf(i_0_1069_061,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).

cnf(i_0_1070_062,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).

cnf(i_0_1071_063,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1072_064,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | class_Ring__and__Field_Ozero__neq__one(X2) ) ).

cnf(i_0_1073_065,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
    | class_Ring__and__Field_Ono__zero__divisors(X2) ) ).

cnf(i_0_1074_066,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Omult__zero(X1)
    | class_Ring__and__Field_Omult__zero(X2) ) ).

cnf(i_0_1075_067,axiom,
    ( X1 != X2
    | ~ class_Power_Opower(X1)
    | class_Power_Opower(X2) ) ).

cnf(i_0_1076_068,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | class_Ring__and__Field_Oring__no__zero__divisors(X2) ) ).

cnf(i_0_1077_069,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
    | class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ) ).

cnf(i_0_1078_070,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osemiring(X1)
    | class_Ring__and__Field_Osemiring(X2) ) ).

cnf(i_0_1079_071,axiom,
    ( X1 != X2
    | ~ class_OrderedGroup_Omonoid__add(X1)
    | class_OrderedGroup_Omonoid__add(X2) ) ).

cnf(i_0_1080_072,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Osgn__if(X1)
    | class_Ring__and__Field_Osgn__if(X2) ) ).

cnf(i_0_1081_073,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(X2) ) ).

cnf(i_0_1082_074,axiom,
    ( X1 != X2
    | ~ class_Int_Onumber__ring(X1)
    | class_Int_Onumber__ring(X2) ) ).

cnf(i_0_1083_075,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | class_Ring__and__Field_Oordered__field(X2) ) ).

cnf(i_0_1084_076,axiom,
    ( X1 != X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | class_Ring__and__Field_Odivision__by__zero(X2) ) ).

cnf(i_0_1085,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | X2 = X2
    | X3 = X4
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(equality_inference,[],[512]) ).

cnf(i_0_1086,plain,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | X2 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X1) ),
    inference(equality_inference,[],[587]) ).

cnf(i_0_1087,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,[],[661]) ).

cnf(i_0_1088,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,[],[778]) ).

cnf(i_0_1089,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,[],[779]) ).

cnf(i_0_1090,plain,
    ( X1 = X1
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(equality_inference,[],[810]) ).

cnf(i_0_1091,plain,
    ( ~ class_Int_Onumber__ring(X1)
    | X2 = X2
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(equality_inference,[],[815]) ).

cnf(i_0_1092,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[824]) ).

cnf(i_0_1093,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
    inference(equality_inference,[],[825]) ).

cnf(i_0_1094,plain,
    ( X1 = X1
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
    inference(equality_inference,[],[826]) ).

cnf(i_0_1095,plain,
    ( X1 = X1
    | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[838]) ).

cnf(i_0_1096,plain,
    ( X1 = X1
    | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(equality_inference,[],[839]) ).

cnf(i_0_1097,plain,
    c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_926,i_0_857]) ).

cnf(i_0_1098,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_857]) ).

cnf(i_0_1099,plain,
    c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_926,i_0_857,i_0_880]) ).

cnf(i_0_1100,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_880]) ).

cnf(i_0_1101,plain,
    c_HOL_Oord__class_Oless(c_Transcendental_Oln(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2)),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_926,i_0_892,i_0_857,i_0_880,i_0_853]) ).

cnf(i_0_1102,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_853]) ).

cnf(i_0_1103,plain,
    c_HOL_Oord__class_Oless(v_r,c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_926,i_0_892,i_0_857,i_0_880,i_0_853,i_0_854]) ).

cnf(i_0_1104,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_854]) ).

cnf(i_0_1105,plain,
    c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_926,i_0_892,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875]) ).

cnf(i_0_1106,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_875]) ).

cnf(i_0_1107,plain,
    c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_926,i_0_892,i_0_777,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010]) ).

cnf(i_0_1108,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_892,i_0_777,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654]) ).

cnf(i_0_1109,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_654]) ).

cnf(i_0_1110,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_r,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_892,i_0_777,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655]) ).

cnf(i_0_1111,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_655]) ).

cnf(i_0_1112,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_892,i_0_777,i_0_1001,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785]) ).

cnf(i_0_1113,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(rename_variables,[],[i_0_785]) ).

cnf(i_0_1114,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_892,i_0_777,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786]) ).

cnf(i_0_1115,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_786]) ).

cnf(i_0_1116,plain,
    c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2)),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_892,i_0_777,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792]) ).

cnf(i_0_1117,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1118,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1119,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2)),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_777,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793]) ).

cnf(i_0_1120,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1121,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(rename_variables,[],[i_0_793]) ).

cnf(i_0_1122,plain,
    c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_777,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813]) ).

cnf(i_0_1123,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(rename_variables,[],[i_0_813]) ).

cnf(i_0_1124,plain,
    ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_777,i_0_935,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827]) ).

cnf(i_0_1125,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_827]) ).

cnf(i_0_1126,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_777,i_0_935,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829]) ).

cnf(i_0_1127,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_829]) ).

cnf(i_0_1128,plain,
    ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_777,i_0_935,i_0_936,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832]) ).

cnf(i_0_1129,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_832]) ).

cnf(i_0_1130,plain,
    ~ c_HOL_Oord__class_Oless(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_777,i_0_935,i_0_936,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833]) ).

cnf(i_0_1131,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_833]) ).

cnf(i_0_1132,plain,
    ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal__of__preal(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_921,i_0_777,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834]) ).

cnf(i_0_1133,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_834]) ).

cnf(i_0_1134,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_921,i_0_777,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865]) ).

cnf(i_0_1135,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_865]) ).

cnf(i_0_1136,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_892,i_0_921,i_0_777,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869]) ).

cnf(i_0_1137,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_869]) ).

cnf(i_0_1138,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041]) ).

cnf(i_0_1139,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1140,plain,
    v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2) != v_r,
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042]) ).

cnf(i_0_1141,plain,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065]) ).

cnf(i_0_1142,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1143,plain,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066]) ).

cnf(i_0_1144,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1145,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784]) ).

cnf(i_0_1146,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1147,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(rename_variables,[],[i_0_784]) ).

cnf(i_0_1148,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787]) ).

cnf(i_0_1149,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1150,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(rename_variables,[],[i_0_787]) ).

cnf(i_0_1151,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788]) ).

cnf(i_0_1152,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(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_788]) ).

cnf(i_0_1153,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789]) ).

cnf(i_0_1154,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1155,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_789]) ).

cnf(i_0_1156,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790]) ).

cnf(i_0_1157,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_790]) ).

cnf(i_0_1158,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791]) ).

cnf(i_0_1159,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(rename_variables,[],[i_0_791]) ).

cnf(i_0_1160,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Osgn__class_Osgn(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814]) ).

cnf(i_0_1161,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(rename_variables,[],[i_0_814]) ).

cnf(i_0_1162,plain,
    c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011]) ).

cnf(i_0_1163,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_777]) ).

cnf(i_0_1164,plain,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_881]) ).

cnf(i_0_1165,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600]) ).

cnf(i_0_1166,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1167,plain,
    ( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4)
    | ~ c_lessequals(X3,X5,X4) ),
    inference(rename_variables,[],[i_0_600]) ).

cnf(i_0_1168,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610]) ).

cnf(i_0_1169,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_610]) ).

cnf(i_0_1170,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611]) ).

cnf(i_0_1171,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_611]) ).

cnf(i_0_1172,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal__of__preal(X1),c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_RealDef_Oreal__of__preal(X1),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612]) ).

cnf(i_0_1173,plain,
    ( ~ c_HOL_Oord__class_Oless(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_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_612]) ).

cnf(i_0_1174,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613]) ).

cnf(i_0_1175,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_613]) ).

cnf(i_0_1176,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621]) ).

cnf(i_0_1177,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2)
    | ~ c_lessequals(X4,X3,X2) ),
    inference(rename_variables,[],[i_0_621]) ).

cnf(i_0_1178,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(v_r,v_r,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_r,c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622]) ).

cnf(i_0_1179,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X4,X3,X2) ),
    inference(rename_variables,[],[i_0_622]) ).

cnf(i_0_1180,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_881,i_0_892,i_0_921,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623]) ).

cnf(i_0_1181,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2)
    | ~ c_lessequals(X4,X3,X2) ),
    inference(rename_variables,[],[i_0_623]) ).

cnf(i_0_1182,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_881,i_0_892,i_0_921,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706]) ).

cnf(i_0_1183,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1184,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(rename_variables,[],[i_0_706]) ).

cnf(i_0_1185,plain,
    c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_r,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708]) ).

cnf(i_0_1186,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(rename_variables,[],[i_0_708]) ).

cnf(i_0_1187,plain,
    c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709]) ).

cnf(i_0_1188,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(rename_variables,[],[i_0_709]) ).

cnf(i_0_1189,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(v_r,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710]) ).

cnf(i_0_1190,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(rename_variables,[],[i_0_710]) ).

cnf(i_0_1191,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711]) ).

cnf(i_0_1192,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(rename_variables,[],[i_0_711]) ).

cnf(i_0_1193,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713]) ).

cnf(i_0_1194,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1195,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_713]) ).

cnf(i_0_1196,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714]) ).

cnf(i_0_1197,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1198,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_714]) ).

cnf(i_0_1199,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715]) ).

cnf(i_0_1200,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(rename_variables,[],[i_0_715]) ).

cnf(i_0_1201,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729]) ).

cnf(i_0_1202,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1203,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(rename_variables,[],[i_0_729]) ).

cnf(i_0_1204,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730]) ).

cnf(i_0_1205,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(rename_variables,[],[i_0_730]) ).

cnf(i_0_1206,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731]) ).

cnf(i_0_1207,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(rename_variables,[],[i_0_731]) ).

cnf(i_0_1208,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),X3,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744]) ).

cnf(i_0_1209,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1210,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_744]) ).

cnf(i_0_1211,plain,
    ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795]) ).

cnf(i_0_1212,plain,
    ( ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | c_lessequals(X4,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    inference(rename_variables,[],[i_0_795]) ).

cnf(i_0_1213,plain,
    ~ c_HOL_Oord__class_Oless(v_r,c_RealVector_Onorm__class_Onorm(v_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797]) ).

cnf(i_0_1214,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1215,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | c_HOL_Oord__class_Oless(X2,X4,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_797]) ).

cnf(i_0_1216,plain,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809]) ).

cnf(i_0_1217,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_809]) ).

cnf(i_0_1218,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823]) ).

cnf(i_0_1219,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1220,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596]) ).

cnf(i_0_1221,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1222,plain,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(rename_variables,[],[i_0_596]) ).

cnf(i_0_1223,plain,
    c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598]) ).

cnf(i_0_1224,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1225,plain,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(rename_variables,[],[i_0_598]) ).

cnf(i_0_1226,plain,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599]) ).

cnf(i_0_1227,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(rename_variables,[],[i_0_599]) ).

cnf(i_0_1228,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700]) ).

cnf(i_0_1229,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1230,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(rename_variables,[],[i_0_700]) ).

cnf(i_0_1231,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702]) ).

cnf(i_0_1232,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1233,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_702]) ).

cnf(i_0_1234,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703]) ).

cnf(i_0_1235,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1236,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_703]) ).

cnf(i_0_1237,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704]) ).

cnf(i_0_1238,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1239,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(rename_variables,[],[i_0_704]) ).

cnf(i_0_1240,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705]) ).

cnf(i_0_1241,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1242,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(rename_variables,[],[i_0_705]) ).

cnf(i_0_1243,plain,
    c_lessequals(c_HOL_Oplus__class_Oplus(v_r,v_r,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712]) ).

cnf(i_0_1244,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_712]) ).

cnf(i_0_1245,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716]) ).

cnf(i_0_1246,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(rename_variables,[],[i_0_716]) ).

cnf(i_0_1247,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717]) ).

cnf(i_0_1248,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1249,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(rename_variables,[],[i_0_717]) ).

cnf(i_0_1250,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718]) ).

cnf(i_0_1251,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(rename_variables,[],[i_0_718]) ).

cnf(i_0_1252,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719]) ).

cnf(i_0_1253,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(rename_variables,[],[i_0_719]) ).

cnf(i_0_1254,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720]) ).

cnf(i_0_1255,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1256,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(rename_variables,[],[i_0_720]) ).

cnf(i_0_1257,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721]) ).

cnf(i_0_1258,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1259,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_721]) ).

cnf(i_0_1260,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722]) ).

cnf(i_0_1261,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1262,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_722]) ).

cnf(i_0_1263,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_RealDef_Oreal__of__preal(X1),c_RealDef_Oreal__of__preal(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723]) ).

cnf(i_0_1264,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_723]) ).

cnf(i_0_1265,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724]) ).

cnf(i_0_1266,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_724]) ).

cnf(i_0_1267,plain,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725]) ).

cnf(i_0_1268,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(rename_variables,[],[i_0_725]) ).

cnf(i_0_1269,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727]) ).

cnf(i_0_1270,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(rename_variables,[],[i_0_727]) ).

cnf(i_0_1271,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728]) ).

cnf(i_0_1272,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(rename_variables,[],[i_0_728]) ).

cnf(i_0_1273,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607]) ).

cnf(i_0_1274,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    inference(rename_variables,[],[i_0_607]) ).

cnf(i_0_1275,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_995,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608]) ).

cnf(i_0_1276,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X4,X3,X2) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1277,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740]) ).

cnf(i_0_1278,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_740]) ).

cnf(i_0_1279,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Power_Opower__class_Opower(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),X3,tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741]) ).

cnf(i_0_1280,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_741]) ).

cnf(i_0_1281,plain,
    ~ c_lessequals(c_HOL_Oplus__class_Oplus(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),X3,tc_RealDef_Oreal),X3,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742]) ).

cnf(i_0_1282,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1283,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_742]) ).

cnf(i_0_1284,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743]) ).

cnf(i_0_1285,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1286,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1287,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_743]) ).

cnf(i_0_1288,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588]) ).

cnf(i_0_1289,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1290,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_588]) ).

cnf(i_0_1291,plain,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal),c_RealDef_Oreal__of__preal(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590]) ).

cnf(i_0_1292,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1293,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_590]) ).

cnf(i_0_1294,plain,
    c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592]) ).

cnf(i_0_1295,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1296,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_592]) ).

cnf(i_0_1297,plain,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594]) ).

cnf(i_0_1298,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_594]) ).

cnf(i_0_1299,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667]) ).

cnf(i_0_1300,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1301,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_667]) ).

cnf(i_0_1302,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671]) ).

cnf(i_0_1303,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_671]) ).

cnf(i_0_1304,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690]) ).

cnf(i_0_1305,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1306,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_690]) ).

cnf(i_0_1307,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691]) ).

cnf(i_0_1308,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1309,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_691]) ).

cnf(i_0_1310,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694]) ).

cnf(i_0_1311,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1312,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_694]) ).

cnf(i_0_1313,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_r,v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696]) ).

cnf(i_0_1314,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_696]) ).

cnf(i_0_1315,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516]) ).

cnf(i_0_1316,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1317,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1318,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X4,X2)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_516]) ).

cnf(i_0_1319,plain,
    c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519]) ).

cnf(i_0_1320,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1321,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1322,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X2),X3,X2)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_519]) ).

cnf(i_0_1323,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531]) ).

cnf(i_0_1324,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1325,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_531]) ).

cnf(i_0_1326,plain,
    c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544]) ).

cnf(i_0_1327,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1328,plain,
    ( 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)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_544]) ).

cnf(i_0_1329,plain,
    c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546]) ).

cnf(i_0_1330,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_546]) ).

cnf(i_0_1331,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547]) ).

cnf(i_0_1332,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_547]) ).

cnf(i_0_1333,plain,
    c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,v_r,tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548]) ).

cnf(i_0_1334,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1335,plain,
    ( 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)
    | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_548]) ).

cnf(i_0_1336,plain,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551]) ).

cnf(i_0_1337,plain,
    ( 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)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_551]) ).

cnf(i_0_1338,plain,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552]) ).

cnf(i_0_1339,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_552]) ).

cnf(i_0_1340,plain,
    c_HOL_Oord__class_Oless(v_r,c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681]) ).

cnf(i_0_1341,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1342,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_681]) ).

cnf(i_0_1343,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1320,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514]) ).

cnf(i_0_1344,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1345,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1346,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1347,plain,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X3,X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_514]) ).

cnf(i_0_1348,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518]) ).

cnf(i_0_1349,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1350,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1351,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1352,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),X3,X2)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_518]) ).

cnf(i_0_1353,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555]) ).

cnf(i_0_1354,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_555]) ).

cnf(i_0_1355,plain,
    ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630]) ).

cnf(i_0_1356,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1357,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(rename_variables,[],[i_0_630]) ).

cnf(i_0_1358,plain,
    ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632]) ).

cnf(i_0_1359,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1360,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1361,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_632]) ).

cnf(i_0_1362,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_1360,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632,i_0_633]) ).

cnf(i_0_1363,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1364,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_633]) ).

cnf(i_0_1365,plain,
    c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1349,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_1360,i_0_1363,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632,i_0_633,i_0_678]) ).

cnf(i_0_1366,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1367,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1368,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_678]) ).

cnf(i_0_1369,plain,
    c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X3),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1349,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_1360,i_0_1363,i_0_1366,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632,i_0_633,i_0_678,i_0_679]) ).

cnf(i_0_1370,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1371,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_679]) ).

cnf(i_0_1372,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1349,i_0_1367,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_1360,i_0_1363,i_0_1366,i_0_1370,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632,i_0_633,i_0_678,i_0_679,i_0_680]) ).

cnf(i_0_1373,plain,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_891]) ).

cnf(i_0_1374,plain,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(rename_variables,[],[i_0_927]) ).

cnf(i_0_1375,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
    inference(rename_variables,[],[i_0_680]) ).

cnf(i_0_1376,plain,
    c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1349,i_0_1367,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_1360,i_0_1363,i_0_1366,i_0_1370,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632,i_0_633,i_0_678,i_0_679,i_0_680,i_0_1024]) ).

cnf(i_0_1377,plain,
    $false,
    inference(scs_inference,[],[i_0_513,i_0_911,i_0_926,i_0_927,i_0_1117,i_0_1120,i_0_1142,i_0_1144,i_0_1146,i_0_1149,i_0_1154,i_0_1166,i_0_1183,i_0_1194,i_0_1197,i_0_1202,i_0_1221,i_0_1224,i_0_1229,i_0_1232,i_0_1235,i_0_1238,i_0_1241,i_0_1248,i_0_1255,i_0_1258,i_0_1261,i_0_1285,i_0_1289,i_0_1295,i_0_1305,i_0_1308,i_0_1311,i_0_1317,i_0_1321,i_0_1324,i_0_1327,i_0_1334,i_0_1344,i_0_1349,i_0_1367,i_0_1320,i_0_1346,i_0_881,i_0_892,i_0_921,i_0_1002,i_0_1005,i_0_777,i_0_891,i_0_1139,i_0_1209,i_0_1214,i_0_1282,i_0_1286,i_0_1292,i_0_1300,i_0_1341,i_0_1356,i_0_1360,i_0_1363,i_0_1366,i_0_1370,i_0_935,i_0_936,i_0_937,i_0_972,i_0_973,i_0_974,i_0_975,i_0_976,i_0_982,i_0_991,i_0_995,i_0_996,i_0_1000,i_0_1001,i_0_1003,i_0_1004,i_0_1007,i_0_1008,i_0_783,i_0_857,i_0_880,i_0_853,i_0_854,i_0_875,i_0_1010,i_0_654,i_0_655,i_0_785,i_0_786,i_0_792,i_0_793,i_0_813,i_0_827,i_0_829,i_0_832,i_0_833,i_0_834,i_0_865,i_0_869,i_0_1041,i_0_1042,i_0_1065,i_0_1066,i_0_784,i_0_787,i_0_788,i_0_789,i_0_790,i_0_791,i_0_814,i_0_1011,i_0_600,i_0_610,i_0_611,i_0_612,i_0_613,i_0_621,i_0_622,i_0_623,i_0_706,i_0_708,i_0_709,i_0_710,i_0_711,i_0_713,i_0_714,i_0_715,i_0_729,i_0_730,i_0_731,i_0_744,i_0_795,i_0_797,i_0_809,i_0_823,i_0_596,i_0_598,i_0_599,i_0_700,i_0_702,i_0_703,i_0_704,i_0_705,i_0_712,i_0_716,i_0_717,i_0_718,i_0_719,i_0_720,i_0_721,i_0_722,i_0_723,i_0_724,i_0_725,i_0_727,i_0_728,i_0_607,i_0_608,i_0_740,i_0_741,i_0_742,i_0_743,i_0_588,i_0_590,i_0_592,i_0_594,i_0_667,i_0_671,i_0_690,i_0_691,i_0_694,i_0_696,i_0_516,i_0_519,i_0_531,i_0_544,i_0_546,i_0_547,i_0_548,i_0_551,i_0_552,i_0_681,i_0_514,i_0_518,i_0_555,i_0_630,i_0_632,i_0_633,i_0_678,i_0_679,i_0_680,i_0_1024,i_0_889]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ALG371-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.34  % Computer : n002.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit   : 300
% 0.16/0.34  % WCLimit    : 300
% 0.16/0.34  % DateTime   : Tue May  5 10:33:16 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 1.09/1.68  % Version  : CSE_E---1.7
% 1.09/1.68  % Problem  : theBenchmark.p
% 1.09/1.68  % SZS status Unsatisfiable for theBenchmark.p
% 1.09/1.68  % SZS output start CNFRefutation
% See solution above
% 3.47/4.09  % Total time : 1.328s
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